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144827690448 = 24372371664227
BaseRepresentation
bin1000011011100001100…
…1110010110111010000
3111211211021211222001010
42012320121302313100
54333101342043243
6150311040010520
713314652025400
oct2067031626720
9454737758033
10144827690448
115646a501461
122409a600a40
1310870b1026c
14701c878800
153b7998d433
hex21b8672dd0

144827690448 has 120 divisors (see below), whose sum is σ = 446985013152. Its totient is φ = 40260955392.

The previous prime is 144827690431. The next prime is 144827690489. The reversal of 144827690448 is 844096728441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745090 + ... + 919137.

Almost surely, 2144827690448 is an apocalyptic number.

It is an amenable number.

144827690448 is an abundant number, since it is smaller than the sum of its proper divisors (302157322704).

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

144827690448 is a wasteful number, since it uses less digits than its factorization.

144827690448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664289 (or 1664276 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 144827690448 in words is "one hundred forty-four billion, eight hundred twenty-seven million, six hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 392 444 518 588 592 777 784 888 1036 1176 1554 1776 1813 2072 2352 3108 3626 4144 5439 6216 7252 10878 12432 14504 21756 29008 43512 87024 1664227 3328454 4992681 6656908 9985362 11649589 13313816 19970724 23299178 26627632 34948767 39941448 46598356 61576399 69897534 79882896 81547123 93196712 123152798 139795068 163094246 184729197 186393424 244641369 246305596 279590136 326188492 369458394 431034793 489282738 492611192 559180272 652376984 738916788 862069586 978565476 985222384 1293104379 1304753968 1477833576 1724139172 1957130952 2586208758 2955667152 3017243551 3448278344 3914261904 5172417516 6034487102 6896556688 9051730653 10344835032 12068974204 18103461306 20689670064 24137948408 36206922612 48275896816 72413845224 144827690448