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144041914958304 = 25311673320258923
BaseRepresentation
bin100000110000000101011111…
…001011001000000111100000
3200220000021100201022201222110
4200300011133023020013200
5122334440320212131204
61230203535304035320
742224453634412626
oct4060053713100740
9626007321281873
10144041914958304
1141994918913420
12141a4355a62b40
13624b12c22b8bc
14277d947277516
15119bcda143889
hex83015f2c81e0

144041914958304 has 96 divisors (see below), whose sum is σ = 412544948909184. Its totient is φ = 43642580129280.

The previous prime is 144041914958267. The next prime is 144041914958329. The reversal of 144041914958304 is 403859419140441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 3019414 + ... + 17239509.

It is an arithmetic number, because the mean of its divisors is an integer number (4297343217804).

Almost surely, 2144041914958304 is an apocalyptic number.

It is an amenable number.

144041914958304 is an abundant number, since it is smaller than the sum of its proper divisors (268503033950880).

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

144041914958304 is a wasteful number, since it uses less digits than its factorization.

144041914958304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20265680 (or 20265672 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 144041914958304 in words is "one hundred forty-four trillion, forty-one billion, nine hundred fourteen million, nine hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 6733 13466 20199 26932 40398 53864 74063 80796 107728 148126 161592 215456 222189 296252 323184 444378 592504 646368 888756 1185008 1777512 2370016 3555024 7110048 20258923 40517846 60776769 81035692 121553538 162071384 222848153 243107076 324142768 445696306 486214152 648285536 668544459 891392612 972428304 1337088918 1782785224 1944856608 2674177836 3565570448 5348355672 7131140896 10696711344 21393422688 136403328559 272806657118 409209985677 545613314236 818419971354 1091226628472 1500436614149 1636839942708 2182453256944 3000873228298 3273679885416 4364906513888 4501309842447 6001746456596 6547359770832 9002619684894 12003492913192 13094719541664 18005239369788 24006985826384 36010478739576 48013971652768 72020957479152 144041914958304