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142240121135504 = 24723712273426037
BaseRepresentation
bin100000010101110111011011…
…111001001010000110010000
3200122122000121121100221020022
4200111313123321022012100
5122120430232002314004
61222304113133203012
741650336541542520
oct4025673371120620
9618560547327208
10142240121135504
114135a773209157
1213b53108930468
13614a25547a1b2
14271a65c55d680
151169ed2da22be
hex815ddbe4a190

142240121135504 has 160 divisors (see below), whose sum is σ = 334751430537216. Its totient is φ = 57235083333120.

The previous prime is 142240121135491. The next prime is 142240121135579. The reversal of 142240121135504 is 405531121042241.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39804374 + ... + 43230410.

Almost surely, 2142240121135504 is an apocalyptic number.

142240121135504 is a gapful number since it is divisible by the number (14) 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 142240121135504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167375715268608).

142240121135504 is an abundant number, since it is smaller than the sum of its proper divisors (192511309401712).

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

142240121135504 is a wasteful number, since it uses less digits than its factorization.

142240121135504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426373 (or 3426367 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 142240121135504 its reverse (405531121042241), we get a palindrome (547771242177745).

The spelling of 142240121135504 in words is "one hundred forty-two trillion, two hundred forty billion, one hundred twenty-one million, one hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 71 92 112 142 161 184 227 284 322 368 454 497 568 644 908 994 1136 1288 1589 1633 1816 1988 2576 3178 3266 3632 3976 5221 6356 6532 7952 10442 11431 12712 13064 16117 20884 22862 25424 26128 32234 36547 41768 45724 64468 73094 83536 91448 112819 128936 146188 182896 225638 257872 292376 370691 451276 584752 741382 902552 1482764 1805104 2594837 2965528 3426037 5189674 5931056 6852074 10379348 13704148 20758696 23982259 27408296 41517392 47964518 54816592 78798851 95929036 157597702 191858072 243248627 315195404 383716144 486497254 551591957 630390808 777710399 972994508 1103183914 1260781616 1555420798 1702740389 1945989016 2206367828 3110841596 3405480778 3891978032 4412735656 5443972793 5594718421 6221683192 6810961556 8825471312 10887945586 11189436842 12443366384 13621923112 17887339177 21775891172 22378873684 27243846224 35774678354 39163028947 43551782344 44757747368 55217438329 71549356708 78326057894 87103564688 89515494736 110434876658 125211374239 143098713416 156652115788 220869753316 250422748478 286197426832 313304231576 386522068303 441739506632 500845496956 626608463152 773044136606 883479013264 1001690993912 1270001081567 1546088273212 2003381987824 2540002163134 3092176546424 5080004326268 6184353092848 8890007570969 10160008652536 17780015141938 20320017305072 35560030283876 71120060567752 142240121135504