Search a number
-
+
41296789336320 = 2833572331239417
BaseRepresentation
bin10010110001111001010000…
…11101010111000100000000
312102012221020020211211222000
421120330220131113010000
520403101311032230240
6223455252204144000
711461410636402540
oct1130745035270400
9172187206754860
1041296789336320
1112181962a80101
12476b717238000
131a0736945b6bb
14a2aabd4a1320
154b9356d39430
hex258f28757100

41296789336320 has 1152 divisors, whose sum is σ = 180401501306880. Its totient is φ = 8737573109760.

The previous prime is 41296789336303. The next prime is 41296789336339. The reversal of 41296789336320 is 2363398769214.

41296789336320 is a `hidden beast` number, since 4 + 1 + 296 + 7 + 8 + 9 + 336 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×412967893363202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 172369252 + ... + 172608668.

It is an arithmetic number, because the mean of its divisors is an integer number (156598525440).

Almost surely, 241296789336320 is an apocalyptic number.

41296789336320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41296789336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90200750653440).

41296789336320 is an abundant number, since it is smaller than the sum of its proper divisors (139104711970560).

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

41296789336320 is a wasteful number, since it uses less digits than its factorization.

41296789336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239508 (or 239488 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 41296789336320 in words is "forty-one trillion, two hundred ninety-six billion, seven hundred eighty-nine million, three hundred thirty-six thousand, three hundred twenty".