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1456130010636 = 2232717477231907
BaseRepresentation
bin10101001100001000000…
…111001010111000001100
312011012112012111202211200
4111030020013022320030
5142324123240320021
63032534211345500
7210126154604640
oct25141007127014
95135465452750
101456130010636
115115a5480034
121b625abb2290
13a740a662c12
145069710cc20
1527d25c6e126
hex153081cae0c

1456130010636 has 144 divisors (see below), whose sum is σ = 4548812276736. Its totient is φ = 383233162752.

The previous prime is 1456130010623. The next prime is 1456130010689. The reversal of 1456130010636 is 6360100316541.

1456130010636 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 1 + 3 + 0 + 0 + 10 + 636 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1456130010636.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3414606 + ... + 3817301.

It is an arithmetic number, because the mean of its divisors is an integer number (31588974144).

Almost surely, 21456130010636 is an apocalyptic number.

It is an amenable number.

1456130010636 is an abundant number, since it is smaller than the sum of its proper divisors (3092682266100).

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

1456130010636 is a wasteful number, since it uses less digits than its factorization.

1456130010636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7231988 (or 7231983 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1456130010636 in words is "one trillion, four hundred fifty-six billion, one hundred thirty million, ten thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 47 51 63 68 84 94 102 119 126 141 153 188 204 238 252 282 306 329 357 423 476 564 612 658 714 799 846 987 1071 1316 1428 1598 1692 1974 2142 2397 2961 3196 3948 4284 4794 5593 5922 7191 9588 11186 11844 14382 16779 22372 28764 33558 50337 67116 100674 201348 7231907 14463814 21695721 28927628 43391442 50623349 65087163 86782884 101246698 122942419 130174326 151870047 202493396 245884838 260348652 303740094 339899629 368827257 455610141 491769676 607480188 679799258 737654514 860596933 911220282 1019698887 1106481771 1359598516 1475309028 1721193866 1822440564 2039397774 2212963542 2379297403 2581790799 3059096661 3442387732 4078795548 4425927084 4758594806 5163581598 5778293693 6118193322 7137892209 7745372397 9517189612 10327163196 11556587386 12236386644 14275784418 15490744794 17334881079 21413676627 23113174772 28551568836 30981489588 34669762158 40448055851 42827353254 52004643237 69339524316 80896111702 85654706508 104009286474 121344167553 161792223404 208018572948 242688335106 364032502659 485376670212 728065005318 1456130010636