Search a number
-
+
14457830992 = 2411535632753
BaseRepresentation
bin11010111011100000…
…01111111001010000
31101022120221220121221
431131300033321100
5214102201042432
610350345254424
71021164351523
oct153560177120
941276856557
1014457830992
11614a083460
122975a94414
13149541b0a7
149b2212bba
1559941bb97
hex35dc0fe50

14457830992 has 80 divisors (see below), whose sum is σ = 31201806528. Its totient is φ = 6433955840.

The previous prime is 14457830977. The next prime is 14457831019. The reversal of 14457830992 is 29903875441.

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, 5250288 + ... + 5253040.

Almost surely, 214457830992 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 14457830992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600903264).

14457830992 is an abundant number, since it is smaller than the sum of its proper divisors (16743975536).

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

14457830992 is a wasteful number, since it uses less digits than its factorization.

14457830992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 14457830992 in words is "fourteen billion, four hundred fifty-seven million, eight hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 563 583 848 1126 1166 2252 2332 2753 4504 4664 5506 6193 9008 9328 11012 12386 22024 24772 29839 30283 44048 49544 59678 60566 99088 119356 121132 145909 238712 242264 291818 328229 477424 484528 583636 656458 1167272 1312916 1549939 1604999 2334544 2625832 3099878 3209998 5251664 6199756 6419996 12399512 12839992 17049329 24799024 25679984 34098658 68197316 82146767 136394632 164293534 272789264 328587068 657174136 903614437 1314348272 1807228874 3614457748 7228915496 14457830992