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231406350572145 = 35725315139340069
BaseRepresentation
bin110100100111011001111101…
…010100110001101001110001
31010100100020020110001002210010
4310213121331110301221301
5220312330201221302040
62140054335422125133
766512362042441500
oct6447317524615161
91110306213032703
10231406350572145
1167807978168521
1221b541267207a9
139c176a9bc7498
1441201acba4837
151bb46247ade80
hexd2767d531a71

231406350572145 has 96 divisors (see below), whose sum is σ = 441731706958080. Its totient is φ = 103102450214400.

The previous prime is 231406350572119. The next prime is 231406350572191. The reversal of 231406350572145 is 541275053604132.

It is not a de Polignac number, because 231406350572145 - 25 = 231406350572113 is a prime.

It is a super-3 number, since 3×2314063505721453 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231406350572094 and 231406350572103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13787830 + ... + 25552239.

It is an arithmetic number, because the mean of its divisors is an integer number (4601371947480).

Almost surely, 2231406350572145 is an apocalyptic number.

It is an amenable number.

231406350572145 is a deficient number, since it is larger than the sum of its proper divisors (210325356385935).

231406350572145 is a wasteful number, since it uses less digits than its factorization.

231406350572145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39340295 (or 39340288 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 231406350572145 in words is "two hundred thirty-one trillion, four hundred six billion, three hundred fifty million, five hundred seventy-two thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 53 105 147 151 159 245 265 371 453 735 755 795 1057 1113 1855 2265 2597 3171 5285 5565 7399 7791 8003 12985 15855 22197 24009 36995 38955 40015 56021 110985 120045 168063 280105 392147 840315 1176441 1960735 5882205 39340069 118020207 196700345 275380483 590101035 826141449 1376902415 1927663381 2085023657 4130707245 5782990143 5940350419 6255070971 9638316905 10425118285 14595165599 17821051257 28914950715 29701752095 31275354855 41582452933 43785496797 72975827995 89105256285 102166159193 124747358799 207912264665 218927483985 291077170531 306498477579 314838572207 510830795965 623736793995 873231511593 944515716621 1455385852655 1532492387895 1574192861035 2203870005449 4366157557965 4722578583105 6611610016347 11019350027245 15427090038143 33058050081735 46281270114429 77135450190715 231406350572145