Search a number
-
+
42331255312401 = 32116532371276173
BaseRepresentation
bin10011010000000000000110…
…11011111001000000010001
312112212211100222002021021200
421220000003123321000101
521022023402324444101
6230010413224141413
711626221653203056
oct1150000333710021
9175784328067250
1042331255312401
1112540648060a50
1248b80b7907869
131a80a88112413
14a64bb512302d
154d61ee2e6986
hex2680036f9011

42331255312401 has 48 divisors (see below), whose sum is σ = 66834364289472. Its totient is φ = 25605121276800.

The previous prime is 42331255312399. The next prime is 42331255312477. The reversal of 42331255312401 is 10421355213324.

42331255312401 is a `hidden beast` number, since 4 + 2 + 331 + 2 + 5 + 5 + 312 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 42331255312401 - 21 = 42331255312399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42331255312481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153139951 + ... + 153416123.

It is an arithmetic number, because the mean of its divisors is an integer number (1392382589364).

Almost surely, 242331255312401 is an apocalyptic number.

It is an amenable number.

42331255312401 is a deficient number, since it is larger than the sum of its proper divisors (24503108977071).

42331255312401 is a wasteful number, since it uses less digits than its factorization.

42331255312401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279214 (or 279211 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42331255312401 in words is "forty-two trillion, three hundred thirty-one billion, two hundred fifty-five million, three hundred twelve thousand, four hundred one".

Divisors: 1 3 9 11 33 99 653 1959 2371 5877 7113 7183 21339 21549 26081 64647 78243 234729 276173 828519 1548263 2485557 3037903 4644789 9113709 13934367 17030893 27341127 51092679 153278037 180340969 541022907 654806183 1623068721 1964418549 1983750659 5893255647 5951251977 7202868013 17853755931 21608604039 64825812117 427588437499 1282765312497 3848295937491 4703472812489 14110418437467 42331255312401