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144446017144 = 231113126264001
BaseRepresentation
bin1000011010000110100…
…1110100111001111000
3111210211200122221200211
42012201221310321320
54331311140022034
6150205123240504
713302335613262
oct2064151647170
9453750587624
10144446017144
1156294013680
1223bb2819134
131080ca17580
146dc3cc4b32
153b561e9d64
hex21a1a74e78

144446017144 has 32 divisors (see below), whose sum is σ = 318185285040. Its totient is φ = 60606720000.

The previous prime is 144446017127. The next prime is 144446017151. The reversal of 144446017144 is 441710644441.

It is a junction number, because it is equal to n+sod(n) for n = 144446017097 and 144446017106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63130857 + ... + 63133144.

Almost surely, 2144446017144 is an apocalyptic number.

It is an amenable number.

144446017144 is an abundant number, since it is smaller than the sum of its proper divisors (173739267896).

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

144446017144 is a wasteful number, since it uses less digits than its factorization.

144446017144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126264031 (or 126264027 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 144446017144 in words is "one hundred forty-four billion, four hundred forty-six million, seventeen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 126264001 252528002 505056004 1010112008 1388904011 1641432013 2777808022 3282864026 5555616044 6565728052 11111232088 13131456104 18055752143 36111504286 72223008572 144446017144