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312434153020 = 225117417191473
BaseRepresentation
bin1001000101111101000…
…01101101011000111100
31002212110001222110002001
410202332201231120330
520104331120344040
6355310312112044
731400260324333
oct4427641553074
91085401873061
10312434153020
11110558a30520
1250675695624
1323601c020c2
141119c694d1a
1581d90dc59a
hex48be86d63c

312434153020 has 48 divisors (see below), whose sum is σ = 715858482528. Its totient is φ = 113596508160.

The previous prime is 312434152997. The next prime is 312434153071. The reversal of 312434153020 is 20351434213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312434153020.

It is a congruent number.

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, 1536004 + ... + 1727476.

It is an arithmetic number, because the mean of its divisors is an integer number (14913718386).

Almost surely, 2312434153020 is an apocalyptic number.

It is an amenable number.

312434153020 is an abundant number, since it is smaller than the sum of its proper divisors (403424329508).

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

312434153020 is a wasteful number, since it uses less digits than its factorization.

312434153020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198910 (or 198908 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 312434153020 its reverse (20351434213), we get a palindrome (332785587233).

The spelling of 312434153020 in words is "three hundred twelve billion, four hundred thirty-four million, one hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 7417 14834 29668 37085 74170 81587 148340 163174 191473 326348 382946 407935 765892 815870 957365 1631740 1914730 2106203 3829460 4212406 8424812 10531015 21062030 42124060 1420155241 2840310482 5680620964 7100776205 14201552410 15621707651 28403104820 31243415302 62486830604 78108538255 156217076510 312434153020