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1411142112 = 253237151877
BaseRepresentation
bin101010000011100…
…0101000111100000
310122100022110001200
41110013011013200
510342223021422
6352005401200
746653336642
oct12407050740
93570273050
101411142112
11664609a56
12334709200
13196480143
14d55b2892
1583d462ac
hex541c51e0

1411142112 has 144 divisors (see below), whose sum is σ = 4153417632. Its totient is φ = 454118400.

The previous prime is 1411142101. The next prime is 1411142113. The reversal of 1411142112 is 2112411141.

1411142112 is a `hidden beast` number, since 1 + 411 + 142 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411142113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1608618 + ... + 1609494.

It is an arithmetic number, because the mean of its divisors is an integer number (28843178).

Almost surely, 21411142112 is an apocalyptic number.

1411142112 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 1411142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076708816).

1411142112 is an abundant number, since it is smaller than the sum of its proper divisors (2742275520).

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

1411142112 is a wasteful number, since it uses less digits than its factorization.

1411142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1070 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1411142112 is about 37565.1715289575. The cubic root of 1411142112 is about 1121.6488553902.

Adding to 1411142112 its reverse (2112411141), we get a palindrome (3523553253).

The spelling of 1411142112 in words is "one billion, four hundred eleven million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 151 222 288 296 302 333 444 453 592 604 666 877 888 906 1184 1208 1332 1359 1754 1776 1812 2416 2631 2664 2718 3508 3552 3624 4832 5262 5328 5436 5587 7016 7248 7893 10524 10656 10872 11174 14032 14496 15786 16761 21048 21744 22348 28064 31572 32449 33522 42096 43488 44696 50283 63144 64898 67044 84192 89392 97347 100566 126288 129796 132427 134088 178784 194694 201132 252576 259592 264854 268176 292041 389388 397281 402264 519184 529708 536352 584082 778776 794562 804528 1038368 1059416 1168164 1191843 1557552 1589124 1609056 2118832 2336328 2383686 3115104 3178248 4237664 4672656 4767372 4899799 6356496 9345312 9534744 9799598 12712992 14699397 19069488 19599196 29398794 38138976 39198392 44098191 58797588 78396784 88196382 117595176 156793568 176392764 235190352 352785528 470380704 705571056 1411142112