Search a number
-
+
142365151045404 = 22337710326511853
BaseRepresentation
bin100000010111101011111000…
…010000011010011100011100
3200200001222100011012102222000
4200113223320100122130130
5122130002312131423104
61222441351510122300
741662354105334340
oct4027537020323434
9620058304172860
10142365151045404
11413a87a334a001
1213b733a1050390
136158c8c7660c1
14272271d911620
15116d39e71b639
hex817af841a71c

142365151045404 has 96 divisors (see below), whose sum is σ = 421882072227840. Its totient is φ = 40670029347264.

The previous prime is 142365151045373. The next prime is 142365151045423. The reversal of 142365151045404 is 404540151563241.

142365151045404 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 6 + 51 + 51 + 0 + 4 + 540 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142365151045404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7886059 + ... + 18625794.

It is an arithmetic number, because the mean of its divisors is an integer number (4394604919040).

Almost surely, 2142365151045404 is an apocalyptic number.

142365151045404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142365151045404 is an abundant number, since it is smaller than the sum of its proper divisors (279516921182436).

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

142365151045404 is a wasteful number, since it uses less digits than its factorization.

142365151045404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26518976 (or 26518968 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 142365151045404 in words is "one hundred forty-two trillion, three hundred sixty-five billion, one hundred fifty-one million, forty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 7103 14206 21309 28412 42618 49721 63927 85236 99442 127854 149163 191781 198884 255708 298326 383562 447489 596652 767124 894978 1342467 1789956 2684934 5369868 26511853 53023706 79535559 106047412 159071118 185582971 238606677 318142236 371165942 477213354 556748913 715820031 742331884 954426708 1113497826 1431640062 1670246739 2226995652 2863280124 3340493478 5010740217 6680986956 10021480434 20042960868 188313691859 376627383718 564941075577 753254767436 1129882151154 1318195843013 1694823226731 2259764302308 2636391686026 3389646453462 3954587529039 5084469680193 5272783372052 6779292906924 7909175058078 10168939360386 11863762587117 15818350116156 20337878720772 23727525174234 35591287761351 47455050348468 71182575522702 142365151045404