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412130051419104 = 25325692514951007
BaseRepresentation
bin101110110110101001000000…
…1010100001110101111100000
32000001020020200220000211022100
41131231102001110032233200
5413004314321130402404
64020305533142210400
7152544261604530204
oct13555220124165740
92001206626024270
10412130051419104
1110a3544118aa557
123a281694423a00
13148c690a676465
1473ab2b5478b04
15329a6ad66cd39
hex176d48150ebe0

412130051419104 has 72 divisors (see below), whose sum is σ = 1174054579064640. Its totient is φ = 137135248455168.

The previous prime is 412130051419063. The next prime is 412130051419109. The reversal of 412130051419104 is 401914150031214.

412130051419104 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 30 + 0 + 514 + 1 + 9 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412130051419109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1257311632 + ... + 1257639375.

It is an arithmetic number, because the mean of its divisors is an integer number (16306313598120).

Almost surely, 2412130051419104 is an apocalyptic number.

It is an amenable number.

412130051419104 is an abundant number, since it is smaller than the sum of its proper divisors (761924527645536).

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

412130051419104 is a wasteful number, since it uses less digits than its factorization.

412130051419104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514951592 (or 2514951581 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 412130051419104 in words is "four hundred twelve trillion, one hundred thirty billion, fifty-one million, four hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 18208 20484 27312 40968 54624 81936 163872 2514951007 5029902014 7544853021 10059804028 15089706042 20119608056 22634559063 30179412084 40239216112 45269118126 60358824168 80478432224 90538236252 120717648336 181076472504 241435296672 362152945008 724305890016 1431007122983 2862014245966 4293021368949 5724028491932 8586042737898 11448056983864 12879064106847 17172085475796 22896113967728 25758128213694 34344170951592 45792227935456 51516256427388 68688341903184 103032512854776 137376683806368 206065025709552 412130051419104