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231024653040 = 24357331313237
BaseRepresentation
bin1101011100101000100…
…1000111001011110000
3211002022111122100121010
43113022021013023300
512241114302344130
6254044204030520
722456002102336
oct3271211071360
9732274570533
10231024653040
1189a82437225
1238935832440
1318a29a7373c
14b278653b56
156021eee0b0
hex35ca2472f0

231024653040 has 80 divisors (see below), whose sum is σ = 717154018848. Its totient is φ = 61522480128.

The previous prime is 231024653011. The next prime is 231024653081. The reversal of 231024653040 is 40356420132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2310246530403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 231024652989 and 231024653007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480699 + ... + 832538.

Almost surely, 2231024653040 is an apocalyptic number.

231024653040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231024653040 is an abundant number, since it is smaller than the sum of its proper divisors (486129365808).

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

231024653040 is a wasteful number, since it uses less digits than its factorization.

231024653040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313986 (or 1313980 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 231024653040 in words is "two hundred thirty-one billion, twenty-four million, six hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 733 1466 2199 2932 3665 4398 5864 7330 8796 10995 11728 14660 17592 21990 29320 35184 43980 58640 87960 175920 1313237 2626474 3939711 5252948 6566185 7879422 10505896 13132370 15758844 19698555 21011792 26264740 31517688 39397110 52529480 63035376 78794220 105058960 157588440 315176880 962602721 1925205442 2887808163 3850410884 4813013605 5775616326 7700821768 9626027210 11551232652 14439040815 15401643536 19252054420 23102465304 28878081630 38504108840 46204930608 57756163260 77008217680 115512326520 231024653040