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14217150368 = 251924492741
BaseRepresentation
bin11010011110110100…
…00111111110100000
31100200211002001212202
431033122013332200
5213104042302433
610310430512332
71012212532661
oct151732077640
940624061782
1014217150368
116036235553
1229093656a8
1314575bc515
1498c281368
15583228ee8
hex34f687fa0

14217150368 has 72 divisors (see below), whose sum is σ = 29617301700. Its totient is φ = 6716989440.

The previous prime is 14217150331. The next prime is 14217150373. The reversal of 14217150368 is 86305171241.

It can be written as a sum of positive squares in 2 ways, for example, as 14182904464 + 34245904 = 119092^2 + 5852^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

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 11 ways as a sum of consecutive naturals, for example, 5185478 + ... + 5188218.

Almost surely, 214217150368 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 14217150368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14808650850).

14217150368 is an abundant number, since it is smaller than the sum of its proper divisors (15400151332).

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

14217150368 is a wasteful number, since it uses less digits than its factorization.

14217150368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 14217150368 in words is "fourteen billion, two hundred seventeen million, one hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 449 608 722 898 1444 1796 2741 2888 3592 5482 5776 7184 8531 10964 11552 14368 17062 21928 34124 43856 52079 68248 87712 104158 136496 162089 208316 272992 324178 416632 648356 833264 989501 1230709 1296712 1666528 1979002 2461418 2593424 3958004 4922836 5186848 7916008 9845672 15832016 19691344 23383471 31664032 39382688 46766942 93533884 187067768 374135536 444285949 748271072 888571898 1777143796 3554287592 7108575184 14217150368