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431344313253364 = 22723542096213101
BaseRepresentation
bin110001000010011100010110…
…0100100010011110111110100
32002120021010001211111211122011
41202010320230210103313310
5423014121123143101424
64125220501504414004
7156566412122416600
oct14204705444236764
92076233054454564
10431344313253364
11115492106787a85
1240465501917304
131568b7956167c4
147873267524500
1534d03c7315694
hex1884e2c913df4

431344313253364 has 36 divisors (see below), whose sum is σ = 878096400908580. Its totient is φ = 184861296883200.

The previous prime is 431344313253289. The next prime is 431344313253389. The reversal of 431344313253364 is 463352313443134.

It can be written as a sum of positive squares in 2 ways, for example, as 116283872250000 + 315060441003364 = 10783500^2 + 17749942^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 66318414 + ... + 72531514.

It is an arithmetic number, because the mean of its divisors is an integer number (24391566691905).

Almost surely, 2431344313253364 is an apocalyptic number.

It is an amenable number.

431344313253364 is an abundant number, since it is smaller than the sum of its proper divisors (446752087655216).

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

431344313253364 is a wasteful number, since it uses less digits than its factorization.

431344313253364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6567328 (or 6567319 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 49.

Adding to 431344313253364 its reverse (463352313443134), we get a palindrome (894696626696498).

The spelling of 431344313253364 in words is "four hundred thirty-one trillion, three hundred forty-four billion, three hundred thirteen million, two hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 354209 708418 1416836 2479463 4958926 6213101 9917852 12426202 17356241 24852404 34712482 43491707 69424964 86983414 173966828 304441949 608883898 1217767796 2200736292109 4401472584218 8802945168436 15405154044763 30810308089526 61620616179052 107836078313341 215672156626682 431344313253364