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153143100040 = 23571931391969
BaseRepresentation
bin1000111010100000001…
…0100100001010001000
3112122021210202112120011
42032220002210022020
510002114113200130
6154204124041304
714031012605140
oct2165002441210
9478253675504
10153143100040
1159a47318797
122581b393234
13115977b8078
1475aada7920
153eb49dd52a
hex23a80a4288

153143100040 has 128 divisors (see below), whose sum is σ = 415851552000. Its totient is φ = 49583259648.

The previous prime is 153143099959. The next prime is 153143100073. The reversal of 153143100040 is 40001341351.

It is a super-2 number, since 2×1531431000402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153143099984 and 153143100020.

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, 1619176 + ... + 1711144.

It is an arithmetic number, because the mean of its divisors is an integer number (3248840250).

Almost surely, 2153143100040 is an apocalyptic number.

153143100040 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 153143100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207925776000).

153143100040 is an abundant number, since it is smaller than the sum of its proper divisors (262708451960).

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

153143100040 is a wasteful number, since it uses less digits than its factorization.

153143100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92319 (or 92315 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 153143100040 its reverse (40001341351), we get a palindrome (193144441391).

The spelling of 153143100040 in words is "one hundred fifty-three billion, one hundred forty-three million, one hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 313 380 532 626 665 760 1064 1252 1330 1565 2191 2504 2660 3130 4382 5320 5947 6260 8764 10955 11894 12520 17528 21910 23788 29735 41629 43820 47576 59470 83258 87640 91969 118940 166516 183938 208145 237880 333032 367876 416290 459845 643783 735752 832580 919690 1287566 1665160 1747411 1839380 2575132 3218915 3494822 3678760 5150264 6437830 6989644 8737055 12231877 12875660 13979288 17474110 24463754 25751320 28786297 34948220 48927508 57572594 61159385 69896440 97855016 115145188 122318770 143931485 201504079 230290376 244637540 287862970 403008158 489275080 546939643 575725940 806016316 1007520395 1093879286 1151451880 1612032632 2015040790 2187758572 2734698215 3828577501 4030081580 4375517144 5469396430 7657155002 8060163160 10938792860 15314310004 19142887505 21877585720 30628620008 38285775010 76571550020 153143100040