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146260201601412 = 2234877750768567
BaseRepresentation
bin100001010000010111011011…
…010111000111100110000100
3201011212100010220222222220000
4201100113123113013212010
5123132311343102221122
61235023001541241300
742543644066646213
oct4120273327074604
9634770126888800
10146260201601412
114266a66a898a98
12144a2259703230
13637c37c514a02
14281906272d07a
1511d986bbc00ac
hex8505db5c7984

146260201601412 has 120 divisors (see below), whose sum is σ = 382845610682304. Its totient is φ = 48690612312768.

The previous prime is 146260201601347. The next prime is 146260201601443. The reversal of 146260201601412 is 214106102062641.

146260201601412 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 6 + 0 + 2 + 0 + 1 + 601 + 41 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2133064753 + ... + 2133133319.

Almost surely, 2146260201601412 is an apocalyptic number.

146260201601412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146260201601412 is an abundant number, since it is smaller than the sum of its proper divisors (236585409080892).

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

146260201601412 is a wasteful number, since it uses less digits than its factorization.

146260201601412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76967 (or 76956 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 146260201601412 in words is "one hundred forty-six trillion, two hundred sixty billion, two hundred one million, six hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 877 1754 2631 3508 5262 7507 7893 10524 15014 15786 22521 23679 30028 31572 45042 47358 67563 68567 71037 90084 94716 135126 137134 142074 202689 205701 270252 274268 284148 405378 411402 608067 617103 810756 822804 1216134 1234206 1851309 2432268 2468412 3702618 5553927 6583639 7405236 11107854 13167278 19750917 22215708 26334556 39501834 59252751 60133259 79003668 118505502 120266518 177758253 180399777 237011004 240533036 355516506 360799554 514732469 533274759 541199331 711033012 721599108 1029464938 1066549518 1082398662 1544197407 1623597993 2058929876 2133099036 2164797324 3088394814 3247195986 4632592221 4870793979 6176789628 6494391972 9265184442 9741587958 13897776663 18530368884 19483175916 27795553326 41693329989 55591106652 83386659978 166773319956 451420375313 902840750626 1354261125939 1805681501252 2708522251878 4062783377817 5417044503756 8125566755634 12188350133451 16251133511268 24376700266902 36565050400353 48753400533804 73130100800706 146260201601412