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232253445350040 = 23354395813758431
BaseRepresentation
bin110100110011101110111000…
…000110111010001010011000
31010110100012201221022102212220
4310303232320012322022120
5220420220024002200130
62141543432043104040
766630520613316132
oct6463567006721230
91113305657272786
10232253445350040
1168004151079964
1222070334b12020
139c79537a64c2a
14414d1aba86052
151bcb6a2374410
hexd33bb81ba298

232253445350040 has 128 divisors (see below), whose sum is σ = 698468545843200. Its totient is φ = 61782460162560.

The previous prime is 232253445350039. The next prime is 232253445350053. The reversal of 232253445350040 is 40053544352232.

232253445350040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232253445349974 and 232253445350001.

It is a congruent number.

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, 305849625 + ... + 306608055.

It is an arithmetic number, because the mean of its divisors is an integer number (5456785514400).

Almost surely, 2232253445350040 is an apocalyptic number.

232253445350040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232253445350040 is an abundant number, since it is smaller than the sum of its proper divisors (466215100493160).

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

232253445350040 is a wasteful number, since it uses less digits than its factorization.

232253445350040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764697 (or 764693 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 42.

The spelling of 232253445350040 in words is "two hundred thirty-two trillion, two hundred fifty-three billion, four hundred forty-five million, three hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 439 878 1317 1756 2195 2634 3512 4390 5268 5813 6585 8780 10536 11626 13170 17439 17560 23252 26340 29065 34878 46504 52680 58130 69756 87195 116260 139512 174390 232520 348780 697560 758431 1516862 2275293 2551907 3033724 3792155 4550586 5103814 6067448 7584310 7655721 9101172 10207628 11376465 12759535 15168620 15311442 18202344 20415256 22752930 25519070 30337240 30622884 38278605 45505860 51038140 61245768 76557210 91011720 102076280 153114420 306228840 332951209 665902418 998853627 1331804836 1664756045 1997707254 2663609672 3329512090 3995414508 4408759403 4994268135 6659024180 7990829016 8817518806 9988536270 13226278209 13318048360 17635037612 19977072540 22043797015 26452556418 35270075224 39954145080 44087594030 52905112836 66131391045 88175188060 105810225672 132262782090 176350376120 264525564180 529051128360 1935445377917 3870890755834 5806336133751 7741781511668 9677226889585 11612672267502 15483563023336 19354453779170 23225344535004 29031680668755 38708907558340 46450689070008 58063361337510 77417815116680 116126722675020 232253445350040