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14232441312 = 253437148403
BaseRepresentation
bin11010100000101000…
…11101000111100000
31100201212211221010000
431100110131013200
5213122001110222
610312134340000
71012456516665
oct152024350740
940655757100
1014232441312
1160439298a1
1229124ba600
13145a81440b
14990301a6c
155847499ac
hex35051d1e0

14232441312 has 120 divisors (see below), whose sum is σ = 42988780296. Its totient is φ = 4615895808.

The previous prime is 14232441269. The next prime is 14232441323. The reversal of 14232441312 is 21314423241.

14232441312 is a `hidden beast` number, since 1 + 4 + 232 + 4 + 413 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21703 + ... + 170105.

Almost surely, 214232441312 is an apocalyptic number.

14232441312 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 14232441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494390148).

14232441312 is an abundant number, since it is smaller than the sum of its proper divisors (28756338984).

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

14232441312 is a wasteful number, since it uses less digits than its factorization.

14232441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148462 (or 148445 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 14232441312 its reverse (21314423241), we get a palindrome (35546864553).

The spelling of 14232441312 in words is "fourteen billion, two hundred thirty-two million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7992 10656 11988 15984 23976 31968 47952 95904 148403 296806 445209 593612 890418 1187224 1335627 1780836 2374448 2671254 3561672 4006881 4748896 5342508 5490911 7123344 8013762 10685016 10981822 12020643 14246688 16027524 16472733 21370032 21963644 24041286 32055048 32945466 42740064 43927288 48082572 49418199 64110096 65890932 87854576 96165144 98836398 128220192 131781864 148254597 175709152 192330288 197672796 263563728 296509194 384660576 395345592 444763791 527127456 593018388 790691184 889527582 1186036776 1581382368 1779055164 2372073552 3558110328 4744147104 7116220656 14232441312