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144293644376 = 23723532113759
BaseRepresentation
bin1000011001100010010…
…0100100100001011000
3111210110001221121112222
42012120210210201120
54331003133110001
6150142041323212
713265505511640
oct2063044444130
9453401847488
10144293644376
1156216000772
1223b6b796508
13107b729767b
146dab97d520
153b47b4c61b
hex2198924858

144293644376 has 64 divisors (see below), whose sum is σ = 328731955200. Its totient is φ = 58035339648.

The previous prime is 144293644373. The next prime is 144293644387. The reversal of 144293644376 is 673446392441.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144293644373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988616 + ... + 1125143.

It is an arithmetic number, because the mean of its divisors is an integer number (5136436800).

Almost surely, 2144293644376 is an apocalyptic number.

It is an amenable number.

144293644376 is an abundant number, since it is smaller than the sum of its proper divisors (184438310824).

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

144293644376 is a wasteful number, since it uses less digits than its factorization.

144293644376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113848 (or 2113844 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 53.

The spelling of 144293644376 in words is "one hundred forty-four billion, two hundred ninety-three million, six hundred forty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 23 28 46 53 56 92 106 161 184 212 322 371 424 644 742 1219 1288 1484 2438 2968 4876 8533 9752 17066 34132 68264 2113759 4227518 8455036 14796313 16910072 29592626 48616457 59185252 97232914 112029227 118370504 194465828 224058454 340315199 388931656 448116908 680630398 784204589 896233816 1361260796 1568409178 2576672221 2722521592 3136818356 5153344442 6273636712 10306688884 18036705547 20613377768 36073411094 72146822188 144293644376