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40434013224 = 23321171719057
BaseRepresentation
bin100101101010000011…
…100001010000101000
310212100220201200201100
4211222003201100220
51130302101410344
630324121121400
72630664304323
oct455203412050
9125326650640
1040434013224
1116169a45660
127a05329260
133a74c72717
141d580a77ba
1510b9b68569
hex96a0e1428

40434013224 has 96 divisors (see below), whose sum is σ = 121146891840. Its totient is φ = 12080140800.

The previous prime is 40434013219. The next prime is 40434013237. The reversal of 40434013224 is 42231043404.

It is a happy number.

40434013224 is a `hidden beast` number, since 4 + 0 + 434 + 0 + 1 + 3 + 224 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303297 + ... + 415760.

It is an arithmetic number, because the mean of its divisors is an integer number (1261946790).

Almost surely, 240434013224 is an apocalyptic number.

40434013224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40434013224 is an abundant number, since it is smaller than the sum of its proper divisors (80712878616).

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

40434013224 is a wasteful number, since it uses less digits than its factorization.

40434013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719151 (or 719144 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40434013224 its reverse (42231043404), we get a palindrome (82665056628).

The spelling of 40434013224 in words is "forty billion, four hundred thirty-four million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 781 792 852 1278 1562 1704 2343 2556 3124 4686 5112 6248 7029 9372 14058 18744 28116 56232 719057 1438114 2157171 2876228 4314342 5752456 6471513 7909627 8628684 12943026 15819254 17257368 23728881 25886052 31638508 47457762 51053047 51772104 63277016 71186643 94915524 102106094 142373286 153159141 189831048 204212188 284746572 306318282 408424376 459477423 561583517 569493144 612636564 918954846 1123167034 1225273128 1684750551 1837909692 2246334068 3369501102 3675819384 4492668136 5054251653 6739002204 10108503306 13478004408 20217006612 40434013224