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41315346816 = 2731031044583
BaseRepresentation
bin100110011110100101…
…100010100110000000
310221122100010002010020
4212132211202212000
51134103212044231
630551403133440
72661555440112
oct463645424600
9127570102106
1041315346816
1116581488627
128010514280
133b857319a3
141ddd1653b2
15111c209396
hex99e962980

41315346816 has 64 divisors (see below), whose sum is σ = 110809470720. Its totient is φ = 13638062592.

The previous prime is 41315346781. The next prime is 41315346833. The reversal of 41315346816 is 61864351314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×413153468162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482740 + ... + 561843.

It is an arithmetic number, because the mean of its divisors is an integer number (1731397980).

Almost surely, 241315346816 is an apocalyptic number.

It is an amenable number.

41315346816 is an abundant number, since it is smaller than the sum of its proper divisors (69494123904).

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

41315346816 is a wasteful number, since it uses less digits than its factorization.

41315346816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044703 (or 1044691 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 41315346816 in words is "forty-one billion, three hundred fifteen million, three hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 3296 4944 6592 9888 13184 19776 39552 1044583 2089166 3133749 4178332 6267498 8356664 12534996 16713328 25069992 33426656 50139984 66853312 100279968 107592049 133706624 200559936 215184098 322776147 401119872 430368196 645552294 860736392 1291104588 1721472784 2582209176 3442945568 5164418352 6885891136 10328836704 13771782272 20657673408 41315346816