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145204662440 = 235107283119881
BaseRepresentation
bin1000011100111011011…
…1110101000010101000
3111212210120012010101202
42013032313311002220
54334334343144230
6150412303503332
713330210160165
oct2071667650250
9455716163352
10145204662440
1156643279062
12241848b7b48
1310900c4b106
14705696706c
153b9cb03a45
hex21cedf50a8

145204662440 has 64 divisors (see below), whose sum is σ = 330931863360. Its totient is φ = 57335247360.

The previous prime is 145204662437. The next prime is 145204662479. The reversal of 145204662440 is 44266402541.

145204662440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145204662394 and 145204662403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151300 + ... + 1271180.

It is an arithmetic number, because the mean of its divisors is an integer number (5170810365).

Almost surely, 2145204662440 is an apocalyptic number.

145204662440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145204662440 is an abundant number, since it is smaller than the sum of its proper divisors (185727200920).

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

145204662440 is a wasteful number, since it uses less digits than its factorization.

145204662440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120282 (or 120278 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 145204662440 in words is "one hundred forty-five billion, two hundred four million, six hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 283 428 535 566 856 1070 1132 1415 2140 2264 2830 4280 5660 11320 30281 60562 119881 121124 151405 239762 242248 302810 479524 599405 605620 959048 1198810 1211240 2397620 4795240 12827267 25654534 33926323 51309068 64136335 67852646 102618136 128272670 135705292 169631615 256545340 271410584 339263230 513090680 678526460 1357052920 3630116561 7260233122 14520466244 18150582805 29040932488 36301165610 72602331220 145204662440