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149924062440 = 23325735704873
BaseRepresentation
bin1000101110100000101…
…0111010010011101000
3112022222110120111010100
42023220022322103220
54424021024444230
6152512452545400
713555154334645
oct2135012722350
9468873514110
10149924062440
1158645252139
1225081322260
13111a39121a9
147383664dcc
153d770ce660
hex22e82ba4e8

149924062440 has 96 divisors (see below), whose sum is σ = 493927990920. Its totient is φ = 39432075264.

The previous prime is 149924062433. The next prime is 149924062471. The reversal of 149924062440 is 44260429941.

149924062440 is a `hidden beast` number, since 14 + 9 + 9 + 2 + 4 + 0 + 624 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144946195524 + 4977866916 = 380718^2 + 70554^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2826157 + ... + 2878716.

Almost surely, 2149924062440 is an apocalyptic number.

149924062440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149924062440 is an abundant number, since it is smaller than the sum of its proper divisors (344003928480).

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

149924062440 is a wasteful number, since it uses less digits than its factorization.

149924062440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704963 (or 5704956 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 149924062440 in words is "one hundred forty-nine billion, nine hundred twenty-four million, sixty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 5704873 11409746 17114619 22819492 28524365 34229238 45638984 51343857 57048730 68458476 85573095 102687714 114097460 136916952 171146190 205375428 228194920 256719285 342292380 410750856 416455729 513438570 684584760 832911458 1026877140 1249367187 1665822916 2053754280 2082278645 2498734374 3331645832 3748101561 4164557290 4997468748 6246835935 7496203122 8329114580 9994937496 12493671870 14992406244 16658229160 18740507805 24987343740 29984812488 37481015610 49974687480 74962031220 149924062440