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1540428224364 = 2232313328741467
BaseRepresentation
bin10110011010101000101…
…011010101011101101100
312110021010002110201121200
4112122220223111131230
5200214244111134424
63135355110525500
7216202150602621
oct26325053253554
95407102421550
101540428224364
11544323634767
1220a666366890
13b2353110163
14547b2a68348
152a10b76c8c9
hex166a8ad576c

1540428224364 has 72 divisors (see below), whose sum is σ = 4019686315008. Its totient is φ = 496885419360.

The previous prime is 1540428224339. The next prime is 1540428224369. The reversal of 1540428224364 is 4634228240451.

1540428224364 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 4 + 282 + 2 + 4 + 364 = 666.

It is a super-2 number, since 2×15404282243642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1540428224369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37127559 + ... + 37169025.

Almost surely, 21540428224364 is an apocalyptic number.

It is an amenable number.

1540428224364 is an abundant number, since it is smaller than the sum of its proper divisors (2479258090644).

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

1540428224364 is a wasteful number, since it uses less digits than its factorization.

1540428224364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74795 (or 74790 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 1540428224364 in words is "one trillion, five hundred forty billion, four hundred twenty-eight million, two hundred twenty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 33287 41467 66574 82934 99861 124401 133148 165868 199722 248802 299583 373203 399444 497604 599166 746406 1031897 1198332 1285477 1492812 2063794 2570954 3095691 3856431 4127588 5141908 6191382 7712862 9287073 11569293 12382764 15425724 18574146 23138586 37148292 46277172 1380312029 2760624058 4140936087 5521248116 8281872174 12422808261 16563744348 24845616522 42789672899 49691233044 85579345798 128369018697 171158691596 256738037394 385107056091 513476074788 770214112182 1540428224364