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14012420112 = 24323114921067
BaseRepresentation
bin11010000110011010…
…01001000000010000
31100011112211200202200
431003031021000100
5212144134420422
610234234443200
71004145414525
oct150315110020
940145750680
1014012420112
115a40711699
122870893500
13142406a162
1496cdcb14c
155702882ac
hex343349010

14012420112 has 120 divisors (see below), whose sum is σ = 40753939200. Its totient is φ = 4489585920.

The previous prime is 14012420077. The next prime is 14012420113. The reversal of 14012420112 is 21102421041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14012420113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654603 + ... + 675669.

It is an arithmetic number, because the mean of its divisors is an integer number (339616160).

Almost surely, 214012420112 is an apocalyptic number.

14012420112 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 14012420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376969600).

14012420112 is an abundant number, since it is smaller than the sum of its proper divisors (26741519088).

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

14012420112 is a wasteful number, since it uses less digits than its factorization.

14012420112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21261 (or 21252 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14012420112 its reverse (21102421041), we get a palindrome (35114841153).

The spelling of 14012420112 in words is "fourteen billion, twelve million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 149 186 248 279 298 372 447 496 558 596 744 894 1116 1192 1341 1488 1788 2232 2384 2682 3576 4464 4619 5364 7152 9238 10728 13857 18476 21067 21456 27714 36952 41571 42134 55428 63201 73904 83142 84268 110856 126402 166284 168536 189603 221712 252804 332568 337072 379206 505608 653077 665136 758412 1011216 1306154 1516824 1959231 2612308 3033648 3138983 3918462 5224616 5877693 6277966 7836924 9416949 10449232 11755386 12555932 15673848 18833898 23510772 25111864 28250847 31347696 37667796 47021544 50223728 56501694 75335592 94043088 97308473 113003388 150671184 194616946 226006776 291925419 389233892 452013552 583850838 778467784 875776257 1167701676 1556935568 1751552514 2335403352 3503105028 4670806704 7006210056 14012420112