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155213331412000 = 2553127669303937
BaseRepresentation
bin100011010010101001101011…
…011110111011010000100000
3202100120020201221021111121011
4203102221223132323100200
5130321003400320141000
61310040004201110304
744456536021456111
oct4322515336732040
9670506657244534
10155213331412000
11455016711a7094
12154a9472788394
13687b728b996c4
142a4851863c208
1512e26c568d2ba
hex8d2a6b7bb420

155213331412000 has 96 divisors (see below), whose sum is σ = 381363397112880. Its totient is φ = 62084641996800.

The previous prime is 155213331411977. The next prime is 155213331412037. The reversal of 155213331412000 is 214133312551.

It can be written as a sum of positive squares in 8 ways, for example, as 16832081646864 + 138381249765136 = 4102692^2 + 11763556^2 .

It is a super-2 number, since 2×1552133314120002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510524032 + ... + 510827968.

Almost surely, 2155213331412000 is an apocalyptic number.

155213331412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155213331412000 is an abundant number, since it is smaller than the sum of its proper divisors (226150065700880).

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

155213331412000 is a wasteful number, since it uses less digits than its factorization.

155213331412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431631 (or 431613 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 155213331412000 its reverse (214133312551), we get a palindrome (155427464724551).

The spelling of 155213331412000 in words is "one hundred fifty-five trillion, two hundred thirteen billion, three hundred thirty-one million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 127669 255338 303937 510676 607874 638345 1021352 1215748 1276690 1519685 2042704 2431496 2553380 3039370 3191725 4085408 4862992 5106760 6078740 6383450 7598425 9725984 10213520 12157480 12766900 15196850 15958625 20427040 24314960 25533800 30393700 31917250 37992125 48629920 51067600 60787400 63834500 75984250 102135200 121574800 127669000 151968500 243149600 255338000 303937000 510676000 607874000 1215748000 38803332853 77606665706 155213331412 194016664265 310426662824 388033328530 620853325648 776066657060 970083321325 1241706651296 1552133314120 1940166642650 3104266628240 3880333285300 4850416606625 6208533256480 7760666570600 9700833213250 15521333141200 19401666426500 31042666282400 38803332853000 77606665706000 155213331412000