Search a number
-
+
40645725160 = 23512722512
BaseRepresentation
bin100101110110101011…
…001000101111101000
310212220200002202220011
4211312223020233220
51131220301201120
630401122541304
72636144651305
oct456653105750
9125820082804
1040645725160
11162684a79a7
127a64207834
133aa9a9a861
141d782580ac
1510cd537c5a
hex976ac8be8

40645725160 has 72 divisors (see below), whose sum is σ = 92547361890. Its totient is φ = 16066008000.

The previous prime is 40645725157. The next prime is 40645725203. The reversal of 40645725160 is 6152754604.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 36581152644 + 4064572516 = 191262^2 + 63754^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 161935035 + ... + 161935285.

Almost surely, 240645725160 is an apocalyptic number.

40645725160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40645725160 is an abundant number, since it is smaller than the sum of its proper divisors (51901636730).

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

40645725160 is an equidigital number, since it uses as much as digits as its factorization.

40645725160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

Multiplying 40645725160 by its sum of digits (40), we get a square (1625829006400 = 12750802).

40645725160 divided by its sum of digits (40) gives a square (1016143129 = 318772).

The spelling of 40645725160 in words is "forty billion, six hundred forty-five million, seven hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 127 251 254 502 508 635 1004 1016 1255 1270 2008 2510 2540 5020 5080 10040 16129 31877 32258 63001 63754 64516 80645 126002 127508 129032 159385 161290 252004 255016 315005 318770 322580 504008 630010 637540 645160 1260020 1275080 2520040 4048379 8001127 8096758 16002254 16193516 20241895 32004508 32387032 40005635 40483790 64009016 80011270 80967580 160022540 161935160 320045080 1016143129 2032286258 4064572516 5080715645 8129145032 10161431290 20322862580 40645725160