Search a number
-
+
40861601566864 = 241321229292
BaseRepresentation
bin10010100101001110101010…
…01111110001000010010000
312100200022221021021120202121
421102213111033301002100
520323434030000114424
6222523321032024024
711415103402400431
oct1122472517610220
9170608837246677
1040861601566864
1112024342908801
1246bb303832014
1319a5303a35300
14a139d7cb5488
154acd8616eee4
hex2529d53f1090

40861601566864 has 45 divisors (see below), whose sum is σ = 85728458361483. Its totient is φ = 18859047307776.

The previous prime is 40861601566831. The next prime is 40861601566939. The reversal of 40861601566864 is 46866510616804.

It is a happy number.

The square root of 40861601566864 is 6392308.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27490936512400 + 13370665054464 = 5243180^2 + 3656592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 332338552 + ... + 332461480.

Almost surely, 240861601566864 is an apocalyptic number.

40861601566864 is the 6392308-th square number.

It is an amenable number.

40861601566864 is an abundant number, since it is smaller than the sum of its proper divisors (44866856794619).

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

40861601566864 is an frugal number, since it uses more digits than its factorization.

40861601566864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245892 (or 122944 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 40861601566864 in words is "forty trillion, eight hundred sixty-one billion, six hundred one million, five hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 122929 245858 491716 983432 1598077 1966864 3196154 6392308 12784616 20775001 25569232 41550002 83100004 166200008 332400016 15111539041 30223078082 60446156164 120892312328 196450007533 241784624656 392900015066 785800030132 1571600060264 2553850097929 3143200120528 5107700195858 10215400391716 20430800783432 40861601566864