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233141042321320 = 23571939059476237
BaseRepresentation
bin110101000000101001100001…
…000000101001011110101000
31010120111001210002121101022011
4311000221201000221132220
5221024240323313240240
62143503303302405304
7100051612240145110
oct6500514100513650
91116431702541264
10233141042321320
11683166194636a1
1222194367430834
13a01214ba27493
14418012dadc040
151be4800a6e6ea
hexd40a610297a8

233141042321320 has 128 divisors (see below), whose sum is σ = 602679569990400. Its totient is φ = 79510960521216.

The previous prime is 233141042321191. The next prime is 233141042321353. The reversal of 233141042321320 is 23123240141332.

It is a super-2 number, since 2×2331410423213202 (a number of 30 digits) contains 22 as substring.

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, 489310242 + ... + 489786478.

It is an arithmetic number, because the mean of its divisors is an integer number (4708434140550).

Almost surely, 2233141042321320 is an apocalyptic number.

233141042321320 is a gapful number since it is divisible by the number (20) 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 233141042321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301339784995200).

233141042321320 is an abundant number, since it is smaller than the sum of its proper divisors (369538527669080).

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

233141042321320 is a wasteful number, since it uses less digits than its factorization.

233141042321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485507 (or 485503 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 233141042321320 its reverse (23123240141332), we get a palindrome (256264282462652).

The spelling of 233141042321320 in words is "two hundred thirty-three trillion, one hundred forty-one billion, forty-two million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 193 280 386 772 965 1351 1544 1930 2702 3860 5404 6755 7720 9059 10808 13510 18118 27020 36236 45295 54040 63413 72472 90590 126826 181180 253652 317065 362360 476237 507304 634130 952474 1268260 1748387 1904948 2381185 2536520 3333659 3496774 3809896 4762370 6667318 6993548 8741935 9524740 12238709 13334636 13987096 16668295 17483870 19049480 24477418 26669272 33336590 34967740 48954836 61193545 66673180 69935480 91913741 97909672 122387090 133346360 183827482 244774180 367654964 459568705 489548360 643396187 735309928 919137410 1286792374 1838274820 2573584748 3216980935 3676549640 4314230983 5147169496 6433961870 8628461966 12867923740 17256923932 21571154915 25735847480 30199616881 34513847864 43142309830 60399233762 86284619660 120798467524 150998084405 172569239320 241596935048 301996168810 603992337620 832646579719 1207984675240 1665293159438 3330586318876 4163232898595 5828526058033 6661172637752 8326465797190 11657052116066 16652931594380 23314104232132 29142630290165 33305863188760 46628208464264 58285260580330 116570521160660 233141042321320