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431425484524134 = 233371012137907633
BaseRepresentation
bin110001000011000010001001…
…0110000001000101001100110
32002120112212120210120122002000
41202012010102300020221212
5423021433343014233014
64125322044222430130
7156605314456013022
oct14206042260105146
92076485523518060
10431425484524134
1111551357a858131
1240479195a32346
13156963302c4339
147877167a71382
1534d2578547509
hex1886112c08a66

431425484524134 has 64 divisors (see below), whose sum is σ = 994383598726080. Its totient is φ = 138536414553600.

The previous prime is 431425484524061. The next prime is 431425484524157.

431425484524134 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 2 + 5 + 4 + 84 + 524 + 1 + 34 = 666.

431425484524134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4314254845241342 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068752019 + ... + 1069155614.

It is an arithmetic number, because the mean of its divisors is an integer number (15537243730095).

Almost surely, 2431425484524134 is an apocalyptic number.

431425484524134 is an abundant number, since it is smaller than the sum of its proper divisors (562958114201946).

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

431425484524134 is a wasteful number, since it uses less digits than its factorization.

431425484524134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137907782 (or 2137907776 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 54.

The spelling of 431425484524134 in words is "four hundred thirty-one trillion, four hundred twenty-five billion, four hundred eighty-four million, five hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 101 111 202 222 303 333 606 666 909 999 1818 1998 2727 3737 5454 7474 11211 22422 33633 67266 100899 201798 2137907633 4275815266 6413722899 12827445798 19241168697 38482337394 57723506091 79102582421 115447012182 158205164842 215928670933 237307747263 431857341866 474615494526 647786012799 711923241789 1295572025598 1423846483578 1943358038397 2135769725367 3886716076794 4271539450734 5830074115191 7989360824521 11660148230382 15978721649042 23968082473563 47936164947126 71904247420689 143808494841378 215712742262067 431425484524134