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15140115424 = 257232671907
BaseRepresentation
bin11100001100110101…
…11101001111100000
31110002010210112220201
432012122331033200
5222001332143144
610542201114544
71044120600130
oct160632751740
943063715821
1015140115424
11646a222895
122b26488a54
131573896aa5
14a38a98ac0
155d92901d4
hex3866bd3e0

15140115424 has 144 divisors (see below), whose sum is σ = 36161209728. Its totient is φ = 6110666496.

The previous prime is 15140115421. The next prime is 15140115443. The reversal of 15140115424 is 42451104151.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 15140115392 and 15140115401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15140115421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7938279 + ... + 7940185.

It is an arithmetic number, because the mean of its divisors is an integer number (251119512).

Almost surely, 215140115424 is an apocalyptic number.

15140115424 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 15140115424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18080604864).

15140115424 is an abundant number, since it is smaller than the sum of its proper divisors (21021094304).

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

15140115424 is a wasteful number, since it uses less digits than its factorization.

15140115424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 15140115424 its reverse (42451104151), we get a palindrome (57591219575).

The spelling of 15140115424 in words is "fifteen billion, one hundred forty million, one hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 67 92 112 134 161 184 224 268 322 368 469 529 536 644 736 938 1058 1072 1288 1541 1876 1907 2116 2144 2576 3082 3703 3752 3814 4232 5152 6164 7406 7504 7628 8464 10787 12328 13349 14812 15008 15256 16928 21574 24656 26698 29624 30512 35443 43148 43861 49312 53396 59248 61024 70886 86296 87722 106792 118496 127769 141772 172592 175444 213584 248101 255538 283544 307027 345184 350888 427168 496202 511076 567088 614054 701776 894383 992404 1008803 1022152 1134176 1228108 1403552 1788766 1984808 2017606 2044304 2456216 2938687 3577532 3969616 4035212 4088608 4912432 5877374 7061621 7155064 7939232 8070424 9824864 11754748 14123242 14310128 16140848 20570809 23509496 28246484 28620256 32281696 41141618 47018992 56492968 67589801 82283236 94037984 112985936 135179602 164566472 225971872 270359204 329132944 473128607 540718408 658265888 946257214 1081436816 1892514428 2162873632 3785028856 7570057712 15140115424