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40817516274 = 2383110617
BaseRepresentation
bin100110000000111010…
…011101111011110010
310220100122100200000000
4212000322131323302
51132043241010044
630430141010430
72643332110113
oct460072357362
9126318320000
1040817516274
1116346473127
127ab1853a16
133b065591c2
141d92db620a
1510dd66dd69
hex980e9def2

40817516274 has 36 divisors (see below), whose sum is σ = 91834775214. Its totient is φ = 13605834384.

The previous prime is 40817516261. The next prime is 40817516279. The reversal of 40817516274 is 47261571804.

40817516274 is a `hidden beast` number, since 4 + 0 + 8 + 17 + 5 + 1 + 627 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34858757025 + 5958759249 = 186705^2 + 77193^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40817516279) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1542187 + ... + 1568430.

Almost surely, 240817516274 is an apocalyptic number.

40817516274 is an abundant number, since it is smaller than the sum of its proper divisors (51017258940).

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

40817516274 is an frugal number, since it uses more digits than its factorization.

40817516274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110643 (or 3110622 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 40817516274 in words is "forty billion, eight hundred seventeen million, five hundred sixteen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 13122 3110617 6221234 9331851 18663702 27995553 55991106 83986659 167973318 251959977 503919954 755879931 1511759862 2267639793 4535279586 6802919379 13605838758 20408758137 40817516274