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3135145104 = 2432713239251
BaseRepresentation
bin1011101011011110…
…1000010010010000
322002111022212120100
42322313220102100
522410044120404
61235033012400
7140456202510
oct27267502220
98074285510
103135145104
111369786a13
12735b54100
133ac6b1b60
1421a545840
1513538bd39
hexbade8490

3135145104 has 120 divisors (see below), whose sum is σ = 10798878272. Its totient is φ = 826848000.

The previous prime is 3135145067. The next prime is 3135145121. The reversal of 3135145104 is 4015415313.

It is a happy number.

3135145104 is a `hidden beast` number, since 3 + 135 + 14 + 510 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106522 + ... + 132729.

Almost surely, 23135145104 is an apocalyptic number.

It is an amenable number.

3135145104 is an abundant number, since it is smaller than the sum of its proper divisors (7663733168).

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

3135145104 is a wasteful number, since it uses less digits than its factorization.

3135145104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239285 (or 239276 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3135145104 is about 55992.3664797265. The cubic root of 3135145104 is about 1463.5892648712.

The spelling of 3135145104 in words is "three billion, one hundred thirty-five million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 239251 478502 717753 957004 1435506 1674757 1914008 2153259 2871012 3110263 3349514 3828016 4306518 5024271 5742024 6220526 6699028 8613036 9330789 10048542 11484048 12441052 13398056 15072813 17226072 18661578 20097084 21771841 24882104 26796112 27992367 30145626 34452144 37323156 40194168 43543682 49764208 55984734 60291252 65315523 74646312 80388336 87087364 111969468 120582504 130631046 149292624 174174728 195946569 223938936 241165008 261262092 348349456 391893138 447877872 522524184 783786276 1045048368 1567572552 3135145104