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424051140312 = 233271208939709
BaseRepresentation
bin1100010101110110110…
…10101110011011011000
31111112112212000220000100
412022323122232123120
523421424042442222
6522450103335400
742431245135422
oct6127332563330
91445485026010
10424051140312
111539258a5068
126a225a51560
1330cac401b07
141674a511812
15b06d13c4ac
hex62bb6ae6d8

424051140312 has 96 divisors (see below), whose sum is σ = 1165234356000. Its totient is φ = 139289310720.

The previous prime is 424051140301. The next prime is 424051140319. The reversal of 424051140312 is 213041150424.

424051140312 is a `hidden beast` number, since 4 + 240 + 5 + 1 + 1 + 403 + 12 = 666.

It is a super-2 number, since 2×4240511403122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424051140319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10659114 + ... + 10698822.

It is an arithmetic number, because the mean of its divisors is an integer number (12137857875).

Almost surely, 2424051140312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424051140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582617178000).

424051140312 is an abundant number, since it is smaller than the sum of its proper divisors (741183215688).

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

424051140312 is a wasteful number, since it uses less digits than its factorization.

424051140312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41881 (or 41874 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 424051140312 its reverse (213041150424), we get a palindrome (637092290736).

The spelling of 424051140312 in words is "four hundred twenty-four billion, fifty-one million, one hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2089 2556 4178 5112 6267 8356 12534 16712 18801 25068 37602 39709 50136 75204 79418 119127 148319 150408 158836 238254 296638 317672 357381 444957 476508 593276 714762 889914 953016 1186552 1334871 1429524 1779828 2669742 2819339 2859048 3559656 5339484 5638678 8458017 10678968 11277356 16916034 22554712 25374051 33832068 50748102 67664136 82952101 101496204 165904202 202992408 248856303 331808404 497712606 663616808 746568909 995425212 1493137818 1990850424 2986275636 5889599171 5972551272 11779198342 17668797513 23558396684 35337595026 47116793368 53006392539 70675190052 106012785078 141350380104 212025570156 424051140312