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145371835344 = 243171671066777
BaseRepresentation
bin1000011101100011010…
…1100010101111010000
3111220020012202101111210
42013120311202233100
54340210142212334
6150441034540120
713334310132561
oct2073065425720
9456205671453
10145371835344
115671967a58a
1224210897640
13109297806a8
147070c42168
153bac6265e9
hex21d8d62bd0

145371835344 has 80 divisors (see below), whose sum is σ = 400016147328. Its totient is φ = 45333712896.

The previous prime is 145371835321. The next prime is 145371835393. The reversal of 145371835344 is 443538173541.

It is a super-2 number, since 2×1453718353442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 145371835293 and 145371835302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397117 + ... + 669660.

Almost surely, 2145371835344 is an apocalyptic number.

It is an amenable number.

145371835344 is an abundant number, since it is smaller than the sum of its proper divisors (254644311984).

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

145371835344 is a wasteful number, since it uses less digits than its factorization.

145371835344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066972 (or 1066966 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 145371835344 in words is "one hundred forty-five billion, three hundred seventy-one million, eight hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 167 204 272 334 408 501 668 816 1002 1336 2004 2672 2839 4008 5678 8016 8517 11356 17034 22712 34068 45424 68136 136272 1066777 2133554 3200331 4267108 6400662 8534216 12801324 17068432 18135209 25602648 36270418 51205296 54405627 72540836 108811254 145081672 178151759 217622508 290163344 356303518 435245016 534455277 712607036 870490032 1068910554 1425214072 2137821108 2850428144 3028579903 4275642216 6057159806 8551284432 9085739709 12114319612 18171479418 24228639224 36342958836 48457278448 72685917672 145371835344