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144929471160 = 233546711532243
BaseRepresentation
bin1000011011111001111…
…0000011101010111000
3111212002101100221221010
42012332132003222320
54333303421034120
6150325113313520
713320326115225
oct2067636035270
9455071327833
10144929471160
11565119a9851
12241087058a0
1310888c28436
14702c1b094c
153b838957e0
hex21be783ab8

144929471160 has 128 divisors (see below), whose sum is σ = 436291764480. Its totient is φ = 38514475008.

The previous prime is 144929471107. The next prime is 144929471243. The reversal of 144929471160 is 61174929441.

It is a happy number.

It is a super-2 number, since 2×1449294711602 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 31 ways as a sum of consecutive naturals, for example, 64612999 + ... + 64615241.

It is an arithmetic number, because the mean of its divisors is an integer number (3408529410).

Almost surely, 2144929471160 is an apocalyptic number.

144929471160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144929471160 is an abundant number, since it is smaller than the sum of its proper divisors (291362293320).

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

144929471160 is a wasteful number, since it uses less digits than its factorization.

144929471160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 144929471160 in words is "one hundred forty-four billion, nine hundred twenty-nine million, four hundred seventy-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 467 934 1153 1401 1868 2243 2306 2335 2802 3459 3736 4486 4612 4670 5604 5765 6729 6918 7005 8972 9224 9340 11208 11215 11530 13458 13836 14010 17295 17944 18680 22430 23060 26916 27672 28020 33645 34590 44860 46120 53832 56040 67290 69180 89720 134580 138360 269160 538451 1047481 1076902 1615353 2094962 2153804 2586179 2692255 3142443 3230706 4189924 4307608 5172358 5237405 5384510 6284886 6461412 7758537 8076765 8379848 10344716 10474810 10769020 12569772 12922824 12930895 15517074 15712215 16153530 20689432 20949620 21538040 25139544 25861790 31034148 31424430 32307060 38792685 41899240 51723580 62068296 62848860 64614120 77585370 103447160 125697720 155170740 310341480 1207745593 2415491186 3623236779 4830982372 6038727965 7246473558 9661964744 12077455930 14492947116 18116183895 24154911860 28985894232 36232367790 48309823720 72464735580 144929471160