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401338990107 = 341123162712037
BaseRepresentation
bin1011101011100011010…
…10101111111000011011
31102100221000010010010000
411311301222233320123
523033420240140412
6504212251224043
740665361062156
oct5656152577033
91370830103100
10401338990107
111452304404a0
1265947748023
132baccb78293
14155d3d52c9d
15a68e23b4dc
hex5d71aafe1b

401338990107 has 80 divisors (see below), whose sum is σ = 682946364672. Its totient is φ = 232497967680.

The previous prime is 401338990057. The next prime is 401338990237. The reversal of 401338990107 is 701099833104.

It is not a de Polignac number, because 401338990107 - 26 = 401338990043 is a prime.

It is a super-2 number, since 2×4013389901072 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401338970107) 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, 33336093 + ... + 33348129.

Almost surely, 2401338990107 is an apocalyptic number.

401338990107 is a deficient number, since it is larger than the sum of its proper divisors (281607374565).

401338990107 is a wasteful number, since it uses less digits than its factorization.

401338990107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13710 (or 13701 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 401338990107 in words is "four hundred one billion, three hundred thirty-eight million, nine hundred ninety thousand, one hundred seven".

Divisors: 1 3 9 11 23 27 33 69 81 99 207 253 297 621 759 891 1627 1863 2277 4881 6831 12037 14643 17897 20493 36111 37421 43929 53691 108333 112263 131787 132407 161073 276851 324999 336789 397221 411631 483219 830553 974997 1010367 1191663 1234893 1449657 2491659 3031101 3045361 3574989 3704679 7474977 9136083 10724967 11114037 19584199 22424931 27408249 33342111 58752597 82224747 176257791 215426189 246674241 450436577 528773373 646278567 1351309731 1586320119 1938835701 4053929193 4954802347 5816507103 12161787579 14864407041 17449521309 36485362737 44593221123 133779663369 401338990107