Search a number
-
+
13714537392 = 2432314174933
BaseRepresentation
bin11001100010111001…
…10011101110110000
31022101210022200111100
430301130303232300
5211041410144032
610144514044400
7663600434013
oct146134635660
938353280440
1013714537392
1158a8553a26
1227a8b79700
1313a7430caa
1494160937a
1555404697c
hex331733bb0

13714537392 has 120 divisors (see below), whose sum is σ = 40586652288. Its totient is φ = 4316083200.

The previous prime is 13714537391. The next prime is 13714537393. The reversal of 13714537392 is 29373541731.

13714537392 is a `hidden beast` number, since 13 + 7 + 14 + 537 + 3 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (13714537391) and next prime (13714537393).

It is not an unprimeable number, because it can be changed into a prime (13714537391) 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, 145558 + ... + 220490.

Almost surely, 213714537392 is an apocalyptic number.

13714537392 is a gapful number since it is divisible by the number (12) 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 13714537392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293326144).

13714537392 is an abundant number, since it is smaller than the sum of its proper divisors (26872114896).

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

13714537392 is a wasteful number, since it uses less digits than its factorization.

13714537392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75019 (or 75010 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The spelling of 13714537392 in words is "thirteen billion, seven hundred fourteen million, five hundred thirty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 41 48 62 72 82 93 123 124 144 164 186 246 248 279 328 369 372 492 496 558 656 738 744 984 1116 1271 1476 1488 1968 2232 2542 2952 3813 4464 5084 5904 7626 10168 11439 15252 20336 22878 30504 45756 61008 74933 91512 149866 183024 224799 299732 449598 599464 674397 899196 1198928 1348794 1798392 2322923 2697588 3072253 3596784 4645846 5395176 6144506 6968769 9216759 9291692 10790352 12289012 13937538 18433518 18583384 20906307 24578024 27650277 27875076 36867036 37166768 41812614 49156048 55300554 55750152 73734072 83625228 95239843 110601108 111500304 147468144 167250456 190479686 221202216 285719529 334500912 380959372 442404432 571439058 761918744 857158587 1142878116 1523837488 1714317174 2285756232 3428634348 4571512464 6857268696 13714537392