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40034544435 = 345458321569
BaseRepresentation
bin100101010010001111…
…101010101100110011
310211100002001120120000
4211102033222230303
51123442320410220
630220331121043
72615044004304
oct452217525463
9124302046500
1040034544435
1115a84502866
1279135a3183
133a10288b62
141d1b0007ab
151094a5c390
hex9523eab33

40034544435 has 40 divisors (see below), whose sum is σ = 71784614880. Its totient is φ = 21346108416.

The previous prime is 40034544421. The next prime is 40034544463. The reversal of 40034544435 is 53444543004.

40034544435 is a `hidden beast` number, since 40 + 0 + 34 + 544 + 43 + 5 = 666.

It is not a de Polignac number, because 40034544435 - 24 = 40034544419 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40034544435.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1845331 + ... + 1866899.

It is an arithmetic number, because the mean of its divisors is an integer number (1794615372).

Almost surely, 240034544435 is an apocalyptic number.

40034544435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40034544435 is a deficient number, since it is larger than the sum of its proper divisors (31750070445).

40034544435 is a wasteful number, since it uses less digits than its factorization.

40034544435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26169 (or 26160 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 40034544435 in words is "forty billion, thirty-four million, five hundred forty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 4583 13749 21569 22915 41247 64707 68745 107845 123741 194121 206235 323535 371223 582363 618705 970605 1747089 1856115 2911815 8735445 98850727 296552181 494253635 889656543 1482760905 2668969629 4448282715 8006908887 13344848145 40034544435