Search a number
-
+
14407612992 = 263379105541
BaseRepresentation
bin11010110101100001…
…01011101001000000
31101012002110120111000
431122300223221000
5214001322103432
610341353052000
71020014455413
oct153260535100
941162416430
1014407612992
1161237a3983
1229610b7000
131487bb76b6
149a969db7a
15594cec57c
hex35ac2ba40

14407612992 has 112 divisors (see below), whose sum is σ = 42892268800. Its totient is φ = 4741701120.

The previous prime is 14407612987. The next prime is 14407612993. The reversal of 14407612992 is 29921670441.

It is not an unprimeable number, because it can be changed into a prime (14407612993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83742 + ... + 189282.

Almost surely, 214407612992 is an apocalyptic number.

14407612992 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 14407612992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21446134400).

14407612992 is an abundant number, since it is smaller than the sum of its proper divisors (28484655808).

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

14407612992 is a wasteful number, since it uses less digits than its factorization.

14407612992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105641 (or 105625 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14407612992 in words is "fourteen billion, four hundred seven million, six hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 5056 5688 7584 8532 11376 15168 17064 22752 34128 45504 68256 105541 136512 211082 316623 422164 633246 844328 949869 1266492 1688656 1899738 2532984 2849607 3377312 3799476 5065968 5699214 6754624 7598952 8337739 10131936 11398428 15197904 16675478 20263872 22796856 25013217 30395808 33350956 45593712 50026434 60791616 66701912 75039651 91187424 100052868 133403824 150079302 182374848 200105736 225118953 266807648 300158604 400211472 450237906 533615296 600317208 800422944 900475812 1200634416 1600845888 1800951624 2401268832 3601903248 4802537664 7203806496 14407612992