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14391113632 = 2571731121909
BaseRepresentation
bin11010110011100011…
…01111011110100000
31101010221102022121121
431121301233132200
5213433111114012
610340003302024
71016424306340
oct153161573640
941127368547
1014391113632
116115454745
12295767a914
13148465b76c
149a7406d20
1559363da07
hex359c6f7a0

14391113632 has 96 divisors (see below), whose sum is σ = 35390960640. Its totient is φ = 5617520640.

The previous prime is 14391113617. The next prime is 14391113677. The reversal of 14391113632 is 23631119341.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57094 + ... + 179002.

It is an arithmetic number, because the mean of its divisors is an integer number (368655840).

Almost surely, 214391113632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14391113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695480320).

14391113632 is an abundant number, since it is smaller than the sum of its proper divisors (20999847008).

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

14391113632 is a wasteful number, since it uses less digits than its factorization.

14391113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121974 (or 121966 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The spelling of 14391113632 in words is "fourteen billion, three hundred ninety-one million, one hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 68 112 119 124 136 217 224 238 248 272 434 476 496 527 544 868 952 992 1054 1736 1904 2108 3472 3689 3808 4216 6944 7378 8432 14756 16864 29512 59024 118048 121909 243818 487636 853363 975272 1706726 1950544 2072453 3413452 3779179 3901088 4144906 6826904 7558358 8289812 13653808 14507171 15116716 16579624 26454253 27307616 29014342 30233432 33159248 52908506 58028684 60466864 64246043 66318496 105817012 116057368 120933728 128492086 211634024 232114736 256984172 423268048 449722301 464229472 513968344 846536096 899444602 1027936688 1798889204 2055873376 3597778408 7195556816 14391113632