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40161460905 = 345612336977
BaseRepresentation
bin100101011001110011…
…110100001010101001
310211122220212121020000
4211121303310022221
51124222313222110
630241103253213
72621144533206
oct453163641251
9124586777200
1040161460905
111603a109005
127949baa209
133a30664c67
141d2dbdacad
1510a0c7c1c0
hex959cf42a9

40161460905 has 80 divisors (see below), whose sum is σ = 73497934224. Its totient is φ = 20974878720.

The previous prime is 40161460901. The next prime is 40161460949. The reversal of 40161460905 is 50906416104.

40161460905 is a `hidden beast` number, since 40 + 1 + 6 + 1 + 4 + 609 + 0 + 5 = 666.

40161460905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16431906969 + 23729553936 = 128187^2 + 154044^2 .

It is not a de Polignac number, because 40161460905 - 22 = 40161460901 is a prime.

It is a super-2 number, since 2×401614609052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40161460905.

It is not an unprimeable number, because it can be changed into a prime (40161460901) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5752777 + ... + 5759753.

Almost surely, 240161460905 is an apocalyptic number.

40161460905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40161460905 is a deficient number, since it is larger than the sum of its proper divisors (33336473319).

40161460905 is a wasteful number, since it uses less digits than its factorization.

40161460905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7288 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 40161460905 in words is "forty billion, one hundred sixty-one million, four hundred sixty thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 233 305 405 549 699 915 1165 1647 2097 2745 3495 4941 6291 6977 8235 10485 14213 18873 20931 24705 31455 34885 42639 62793 71065 94365 104655 127917 188379 213195 313965 383751 425597 565137 639585 941895 1151253 1276791 1625641 1918755 2127985 2825685 3830373 4876923 5756265 6383955 8128205 11491119 14630769 19151865 24384615 34473357 43892307 57455595 73153845 99164101 131676921 172366785 219461535 297492303 495820505 658384605 892476909 1487461515 2677430727 4462384545 8032292181 13387153635 40161460905