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14408027472 = 243476479871
BaseRepresentation
bin11010110101100100…
…10000110101010000
31101012010020122001010
431122302100311100
5214001423334342
610341410010520
71020021132666
oct153262206520
941163218033
1014408027472
116123a57323
122961276a40
131488001257
149a976ac36
15594d8029c
hex35ac90d50

14408027472 has 80 divisors (see below), whose sum is σ = 38075277312. Its totient is φ = 4692750720.

The previous prime is 14408027467. The next prime is 14408027497. The reversal of 14408027472 is 27472080441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14408027472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1454697 + ... + 1464567.

Almost surely, 214408027472 is an apocalyptic number.

14408027472 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 14408027472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19037638656).

14408027472 is an abundant number, since it is smaller than the sum of its proper divisors (23667249840).

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

14408027472 is a wasteful number, since it uses less digits than its factorization.

14408027472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10576 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 14408027472 in words is "fourteen billion, four hundred eight million, twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 647 752 1128 1294 1941 2256 2588 3882 5176 7764 9871 10352 15528 19742 29613 30409 31056 39484 59226 60818 78968 91227 118452 121636 157936 182454 236904 243272 364908 463937 473808 486544 729816 927874 1391811 1459632 1855748 2783622 3711496 5567244 6386537 7422992 11134488 12773074 19159611 22268976 25546148 38319222 51092296 76638444 102184592 153276888 300167239 306553776 600334478 900501717 1200668956 1801003434 2401337912 3602006868 4802675824 7204013736 14408027472