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144145607958 = 232112331652527
BaseRepresentation
bin1000011000111110111…
…1110110110100010110
3111210001202101120202200
42012033233312310112
54330202233423313
6150115232345330
713262030310612
oct2061757666426
9453052346680
10144145607958
115614a48a820
1223b2a0a5246
1310792705461
146d96046342
153b39b59b73
hex218fbf6d16

144145607958 has 48 divisors (see below), whose sum is σ = 355521194496. Its totient is φ = 41781334320.

The previous prime is 144145607941. The next prime is 144145607959. The reversal of 144145607958 is 859706541441.

144145607958 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 4 + 560 + 79 + 5 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144145607959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15821710 + ... + 15830817.

It is an arithmetic number, because the mean of its divisors is an integer number (7406691552).

Almost surely, 2144145607958 is an apocalyptic number.

144145607958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

144145607958 is an abundant number, since it is smaller than the sum of its proper divisors (211375586538).

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

144145607958 is a wasteful number, since it uses less digits than its factorization.

144145607958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31652569 (or 31652566 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 144145607958 in words is "one hundred forty-four billion, one hundred forty-five million, six hundred seven thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 31652527 63305054 94957581 189915162 284872743 348177797 569745486 696355594 728008121 1044533391 1456016242 2089066782 2184024363 3133600173 4368048726 6267200346 6552073089 8008089331 13104146178 16016178662 24024267993 48048535986 72072803979 144145607958