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42031331134344 = 23323671975380527
BaseRepresentation
bin10011000111010001011101…
…00011111100101110001000
312111211011012201211101200200
421203220232203330232020
521002120131232244334
6225220532120132200
711565443365562556
oct1143505643745610
9174734181741620
1042031331134344
1112435429741912
124869b53907060
131a5b6cac10286
14a544820babd6
154cd4e8613799
hex263a2e8fcb88

42031331134344 has 96 divisors (see below), whose sum is σ = 114152228037120. Its totient is φ = 13971387264768.

The previous prime is 42031331134327. The next prime is 42031331134367. The reversal of 42031331134344 is 44343113313024.

42031331134344 is a `hidden beast` number, since 4 + 20 + 313 + 311 + 3 + 4 + 3 + 4 + 4 = 666.

42031331134344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42031331134299 and 42031331134308.

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 23 ways as a sum of consecutive naturals, for example, 521913009 + ... + 521993535.

It is an arithmetic number, because the mean of its divisors is an integer number (1189085708720).

Almost surely, 242031331134344 is an apocalyptic number.

It is an amenable number.

42031331134344 is an abundant number, since it is smaller than the sum of its proper divisors (72120896902776).

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

42031331134344 is a wasteful number, since it uses less digits than its factorization.

42031331134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100659 (or 100652 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 42031331134344 its reverse (44343113313024), we get a palindrome (86374444447368).

The spelling of 42031331134344 in words is "forty-two trillion, thirty-one billion, three hundred thirty-one million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 367 734 1101 1468 2202 2936 3303 4404 6606 8808 13212 19753 26424 39506 59259 79012 80527 118518 158024 161054 177777 237036 241581 322108 355554 474072 483162 644216 711108 724743 966324 1422216 1449486 1932648 2898972 5797944 7249351 14498702 21748053 28997404 29553409 43496106 57994808 59106818 65244159 86992212 88660227 118213636 130488318 173984424 177320454 236427272 260976636 265980681 354640908 521953272 531961362 709281816 1063922724 1590649831 2127845448 3181299662 4771949493 6362599324 9543898986 12725198648 14315848479 19087797972 28631696958 38175595944 57263393916 114526787832 583768487977 1167536975954 1751305463931 2335073951908 3502610927862 4670147903816 5253916391793 7005221855724 10507832783586 14010443711448 21015665567172 42031331134344