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431441426120 = 235194721120247
BaseRepresentation
bin1100100011100111110…
…10011011011011001000
31112020121220011022021112
412101303322123123020
524032043001113440
6530111303025452
743112343420245
oct6216372333310
91466556138245
10431441426120
11156a7848a191
126b748a3b288
13318b95278b3
1416c4bc245cc
15b351d4b965
hex6473e9b6c8

431441426120 has 64 divisors (see below), whose sum is σ = 1022059900800. Its totient is φ = 163457602560.

The previous prime is 431441426081. The next prime is 431441426147. The reversal of 431441426120 is 21624144134.

It is a super-2 number, since 2×4314414261202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3527837 + ... + 3648083.

It is an arithmetic number, because the mean of its divisors is an integer number (15969685950).

Almost surely, 2431441426120 is an apocalyptic number.

431441426120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431441426120 is an abundant number, since it is smaller than the sum of its proper divisors (590618474680).

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

431441426120 is a wasteful number, since it uses less digits than its factorization.

431441426120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124998 (or 124994 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 431441426120 in words is "four hundred thirty-one billion, four hundred forty-one million, four hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 4721 9442 18884 23605 37768 47210 89699 94420 120247 179398 188840 240494 358796 448495 480988 601235 717592 896990 961976 1202470 1793980 2284693 2404940 3587960 4569386 4809880 9138772 11423465 18277544 22846930 45693860 91387720 567686087 1135372174 2270744348 2838430435 4541488696 5676860870 10786035653 11353721740 21572071306 22707443480 43144142612 53930178265 86288285224 107860356530 215720713060 431441426120