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23245484040 = 23325149433361
BaseRepresentation
bin10101101001100010…
…011111000000001000
32020000000110221101100
4111221202133000020
5340101320442130
614402343221400
71452021232332
oct255142370010
966000427340
1023245484040
119949519239
124608a47860
132265bb01ac
1411a7350452
15910b50c60
hex56989f008

23245484040 has 96 divisors (see below), whose sum is σ = 76055031000. Its totient is φ = 6157178880.

The previous prime is 23245484029. The next prime is 23245484047. The reversal of 23245484040 is 4048454232.

23245484040 is a `hidden beast` number, since 2 + 3 + 245 + 4 + 8 + 404 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20164568004 + 3080916036 = 142002^2 + 55506^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23245483986 and 23245484004.

It is not an unprimeable number, because it can be changed into a prime (23245484047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163041 + ... + 270320.

Almost surely, 223245484040 is an apocalyptic number.

23245484040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23245484040 is an abundant number, since it is smaller than the sum of its proper divisors (52809546960).

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

23245484040 is a wasteful number, since it uses less digits than its factorization.

23245484040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433527 (or 433520 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 23245484040 in words is "twenty-three billion, two hundred forty-five million, four hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2235 2682 2980 3576 4470 5364 5960 6705 8940 10728 13410 17880 26820 53640 433361 866722 1300083 1733444 2166805 2600166 3466888 3900249 4333610 5200332 6500415 7800498 8667220 10400664 13000830 15600996 17334440 19501245 26001660 31201992 39002490 52003320 64570789 78004980 129141578 156009960 193712367 258283156 322853945 387424734 516566312 581137101 645707890 774849468 968561835 1162274202 1291415780 1549698936 1937123670 2324548404 2582831560 2905685505 3874247340 4649096808 5811371010 7748494680 11622742020 23245484040