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154144002500240 = 245172811277315857
BaseRepresentation
bin100011000011000101110010…
…100000110110011010010000
3202012210000121120021110020112
4203003011302200312122100
5130200443404120001430
61303500435511300452
744316352035624644
oct4303056240663220
9665700546243215
10154144002500240
114512a116981705
121535618267a728
13680194251206c
142a0c87678cc24
1512c498c6c7195
hex8c3172836690

154144002500240 has 160 divisors (see below), whose sum is σ = 381116097303264. Its totient is φ = 57778704220160.

The previous prime is 154144002500167. The next prime is 154144002500249. The reversal of 154144002500240 is 42005200441451.

It can be written as a sum of positive squares in 16 ways, for example, as 536831705344 + 153607170794896 = 732688^2 + 12393836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 154144002500197 and 154144002500206.

It is not an unprimeable number, because it can be changed into a prime (154144002500249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487860392 + ... + 488176248.

Almost surely, 2154144002500240 is an apocalyptic number.

154144002500240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154144002500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190558048651632).

154144002500240 is an abundant number, since it is smaller than the sum of its proper divisors (226972094803024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

154144002500240 is a wasteful number, since it uses less digits than its factorization.

154144002500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317445 (or 317439 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 154144002500240 its reverse (42005200441451), we get a palindrome (196149202941691).

The spelling of 154144002500240 in words is "one hundred fifty-four trillion, one hundred forty-four billion, two million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 281 340 562 680 1124 1277 1360 1405 2248 2554 2810 4496 4777 5108 5620 6385 9554 10216 11240 12770 19108 20432 21709 22480 23885 25540 38216 43418 47770 51080 76432 86836 95540 102160 108545 173672 191080 217090 315857 347344 358837 382160 434180 631714 717674 868360 1263428 1435348 1579285 1736720 1794185 2526856 2870696 3158570 3588370 5053712 5369569 5741392 6100229 6317140 7176740 10739138 12200458 12634280 14353480 21478276 24400916 25268560 26847845 28706960 30501145 42956552 48801832 53695690 61002290 85913104 88755817 97603664 107391380 122004580 177511634 214782760 244009160 355023268 403349389 429565520 443779085 488018320 710046536 806698778 887558170 1420093072 1508848889 1613397556 1775116340 2016746945 3017697778 3226795112 3550232680 4033493890 6035395556 6453590224 6856939613 7100465360 7544244445 8066987780 12070791112 13713879226 15088488890 16133975560 24141582224 27427758452 30176977780 32267951120 34284698065 54855516904 60353955560 68569396130 109711033808 113341178309 120707911120 137138792260 226682356618 274277584520 453364713236 548555169040 566705891545 906729426472 1133411783090 1813458852944 1926800031253 2266823566180 3853600062506 4533647132360 7707200125012 9067294264720 9634000156265 15414400250024 19268000312530 30828800500048 38536000625060 77072001250120 154144002500240