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14412863152 = 24232431992
BaseRepresentation
bin11010110110001001…
…01101011010110000
31101012110100022100101
431123010231122300
5214004143110102
610342101402144
71020110213122
oct153304553260
941173308311
1014412863152
11612675a456
122962a09354
1314890052bc
149aa269212
155954d7e87
hex35b12d6b0

14412863152 has 90 divisors (see below), whose sum is σ = 30021575892. Its totient is φ = 6698970432.

The previous prime is 14412863147. The next prime is 14412863219. The reversal of 14412863152 is 25136821441.

14412863152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72426349 + ... + 72426547.

Almost surely, 214412863152 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 14412863152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010787946).

14412863152 is an abundant number, since it is smaller than the sum of its proper divisors (15608712740).

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

14412863152 is an equidigital number, since it uses as much as digits as its factorization.

14412863152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 267 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The spelling of 14412863152 in words is "fourteen billion, four hundred twelve million, eight hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 199 344 368 398 529 688 796 989 1058 1592 1978 2116 3184 3956 4232 4577 7912 8464 8557 9154 15824 17114 18308 22747 34228 36616 39601 45494 68456 73232 79202 90988 105271 136912 158404 181976 196811 210542 316808 363952 393622 421084 633616 787244 842168 910823 1574488 1684336 1702843 1821646 3148976 3405686 3643292 4526653 6811372 7286584 9053306 13622744 14573168 18106612 20948929 27245488 36213224 39165389 41897858 72426448 78330778 83795716 156661556 167591432 313323112 335182864 626646224 900803947 1801607894 3603215788 7206431576 14412863152