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330431430133040 = 24511336552149351
BaseRepresentation
bin100101100100001101001000…
…0000001000000010100110000
31121022221221021111112220102112
41023020122100001000110300
5321302242032103224130
63130434034200304452
7126412611605613245
oct11310322001002460
91538857244486375
10330431430133040
1196316200a87035
12310879a9472128
131124b71c916652
145b84d763075cc
15283042e4a3495
hex12c8690040530

330431430133040 has 40 divisors (see below), whose sum is σ = 775051774859808. Its totient is φ = 131002903270400.

The previous prime is 330431430133033. The next prime is 330431430133157. The reversal of 330431430133040 is 40331034134033.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 330431430132988 and 330431430133006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18276065636 + ... + 18276083715.

Almost surely, 2330431430133040 is an apocalyptic number.

It is an amenable number.

330431430133040 is an abundant number, since it is smaller than the sum of its proper divisors (444620344726768).

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

330431430133040 is a wasteful number, since it uses less digits than its factorization.

330431430133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36552149477 (or 36552149471 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 330431430133040 its reverse (40331034134033), we get a palindrome (370762464267073).

The spelling of 330431430133040 in words is "three hundred thirty trillion, four hundred thirty-one billion, four hundred thirty million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 36552149351 73104298702 146208597404 182760746755 292417194808 365521493510 584834389616 731042987020 1462085974040 2924171948080 4130392876663 8260785753326 16521571506652 20651964383315 33043143013304 41303928766630 66086286026608 82607857533260 165215715066520 330431430133040