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42301402410465 = 33511125472270327
BaseRepresentation
bin10011001111001000100000…
…00100000110110111100001
312112202222022110120201112000
421213210100010012313201
521021031233004113330
6225544555044554213
711624114120546412
oct1147442004066741
9175688273521460
1042301402410465
1112529a18957970
1248b23660b2969
131a7b00b3713c3
14a63582449809
154d5553577560
hex267910106de1

42301402410465 has 64 divisors (see below), whose sum is σ = 82045658142720. Its totient is φ = 20508127197120.

The previous prime is 42301402410419. The next prime is 42301402410479. The reversal of 42301402410465 is 56401420410324.

42301402410465 is a `hidden beast` number, since 4 + 2 + 30 + 140 + 24 + 1 + 0 + 465 = 666.

It is not a de Polignac number, because 42301402410465 - 28 = 42301402410209 is a prime.

It is a super-2 number, since 2×423014024104652 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17497132 + ... + 19767458.

It is an arithmetic number, because the mean of its divisors is an integer number (1281963408480).

Almost surely, 242301402410465 is an apocalyptic number.

42301402410465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42301402410465 is a deficient number, since it is larger than the sum of its proper divisors (39744255732255).

42301402410465 is a wasteful number, since it uses less digits than its factorization.

42301402410465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282899 (or 2282893 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 42301402410465 its reverse (56401420410324), we get a palindrome (98702822820789).

The spelling of 42301402410465 in words is "forty-two trillion, three hundred one billion, four hundred two million, four hundred ten thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 12547 37641 62735 112923 138017 188205 338769 414051 564615 690085 1242153 1693845 2070255 2270327 3726459 6210765 6810981 11351635 18632295 20432943 24973597 34054905 61298829 74920791 102164715 124867985 224762373 306494145 374603955 674287119 1123811865 3371435595 28485792869 85457378607 142428964345 256372135821 313343721559 427286893035 769116407463 940031164677 1281860679105 1566718607795 2820093494031 3845582037315 4700155823385 8460280482093 14100467470155 42301402410465