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139945344 = 2737114733
BaseRepresentation
bin10000101011101…
…10010110000000
3100202022221220220
420111312112000
5241311222334
621515303040
73316341630
oct1025662600
9322287826
10139945344
1171aa5010
123aa4aa80
1322cbb4c6
141482c6c0
15c445449
hex8576580

139945344 has 128 divisors (see below), whose sum is σ = 463553280. Its totient is φ = 36341760.

The previous prime is 139945327. The next prime is 139945361. The reversal of 139945344 is 443549931.

It is an interprime number because it is at equal distance from previous prime (139945327) and next prime (139945361).

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 139945296 and 139945305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27202 + ... + 31934.

It is an arithmetic number, because the mean of its divisors is an integer number (3621510).

Almost surely, 2139945344 is an apocalyptic number.

139945344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231776640).

139945344 is an abundant number, since it is smaller than the sum of its proper divisors (323607936).

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

139945344 is a wasteful number, since it uses less digits than its factorization.

139945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4756 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 139945344 is about 11829.8497031873. The cubic root of 139945344 is about 519.1818297333.

The spelling of 139945344 in words is "one hundred thirty-nine million, nine hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4733 4928 7392 9466 9856 14199 14784 18932 28398 29568 33131 37864 52063 56796 66262 75728 99393 104126 113592 132524 151456 156189 198786 208252 227184 265048 302912 312378 364441 397572 416504 454368 530096 605824 624756 728882 795144 833008 908736 1060192 1093323 1249512 1457764 1590288 1666016 1817472 2120384 2186646 2499024 2915528 3180576 3332032 4240768 4373292 4998048 5831056 6361152 6664064 8746584 9996096 11662112 12722304 17493168 19992192 23324224 34986336 46648448 69972672 139945344