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40856941161 = 343726072
BaseRepresentation
bin100110000011010000…
…110111001001101001
310220110101112122210000
4212003100313021221
51132133334104121
630434110013213
72644321161351
oct460320671151
9126411478700
1040856941161
1116366750683
127b02aa7209
133b1178103a
141d98319b61
1510e1d5a526
hex983437269

40856941161 has 45 divisors (see below), whose sum is σ = 62830847079. Its totient is φ = 26458139376.

The previous prime is 40856941141. The next prime is 40856941243. The reversal of 40856941161 is 16114965804.

The square root of 40856941161 is 202131.

It is a perfect power (a square), and thus also a powerful number.

40856941161 is a `hidden beast` number, since 40 + 8 + 569 + 41 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36559352025 + 4297589136 = 191205^2 + 65556^2 .

It is not a de Polignac number, because 40856941161 - 27 = 40856941033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40856941141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 67309320 + ... + 67309926.

Almost surely, 240856941161 is an apocalyptic number.

40856941161 is the 202131-st square number.

40856941161 is the 101066-th centered octagonal number.

It is an amenable number.

40856941161 is a deficient number, since it is larger than the sum of its proper divisors (21973905918).

40856941161 is an frugal number, since it uses more digits than its factorization.

40856941161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 40856941161 in words is "forty billion, eight hundred fifty-six million, nine hundred forty-one thousand, one hundred sixty-one".

Divisors: 1 3 9 27 37 81 111 333 607 999 1369 1821 2997 4107 5463 12321 16389 22459 36963 49167 67377 110889 202131 368449 606393 830983 1105347 1819179 2492949 3316041 7478847 9948123 13632613 22436541 29844369 40897839 67309623 122693517 368080551 504406681 1104241653 1513220043 4539660129 13618980387 40856941161