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144001425631360 = 2751143475691813
BaseRepresentation
bin100000101111011111110001…
…110100100110100010000000
3200212212101211221111211002211
4200233133301310212202000
5122333304404430200420
61230133201445151504
742221521365666643
oct4057376164464200
9625771757454084
10144001425631360
1141979730728850
12141985360bb594
13624737899028b
14277b9c5ad1a5a
15119ac1a700e5a
hex82f7f1d26880

144001425631360 has 128 divisors (see below), whose sum is σ = 384282875021760. Its totient is φ = 51146383626240.

The previous prime is 144001425631351. The next prime is 144001425631363. The reversal of 144001425631360 is 63136524100441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (144001425631363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237543187 + ... + 238148626.

Almost surely, 2144001425631360 is an apocalyptic number.

144001425631360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144001425631360 is an abundant number, since it is smaller than the sum of its proper divisors (240281449390400).

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

144001425631360 is a wasteful number, since it uses less digits than its factorization.

144001425631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475691886 (or 475691874 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 144001425631360 in words is "one hundred forty-four trillion, one billion, four hundred twenty-five million, six hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 320 344 352 430 440 473 640 688 704 860 880 946 1376 1408 1720 1760 1892 2365 2752 3440 3520 3784 4730 5504 6880 7040 7568 9460 13760 15136 18920 27520 30272 37840 60544 75680 151360 302720 475691813 951383626 1902767252 2378459065 3805534504 4756918130 5232609943 7611069008 9513836260 10465219886 15222138016 19027672520 20454747959 20930439772 26163049715 30444276032 38055345040 40909495918 41860879544 52326099430 60888552064 76110690080 81818991836 83721759088 102273739795 104652198860 152221380160 163637983672 167443518176 204547479590 209304397720 225002227549 304442760320 327275967344 334887036352 409094959180 418608795440 450004455098 654551934688 669774072704 818189918360 837217590880 900008910196 1125011137745 1309103869376 1636379836720 1674435181760 1800017820392 2250022275490 2618207738752 3272759673440 3348870363520 3600035640784 4500044550980 6545519346880 7200071281568 9000089101960 13091038693760 14400142563136 18000178203920 28800285126272 36000356407840 72000712815680 144001425631360