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15414339690 = 234519030049
BaseRepresentation
bin11100101101100010…
…00010100001101010
31110210020210120220000
432112301002201222
5223032032332230
611025314443430
71053660503601
oct162661024152
943706716800
1015414339690
11659aaa1612
122ba2293576
1315b863b579
14a6327ca38
156033abb60
hex396c4286a

15414339690 has 40 divisors (see below), whose sum is σ = 41447448900. Its totient is φ = 4110490368.

The previous prime is 15414339593. The next prime is 15414339691. The reversal of 15414339690 is 9693341451.

15414339690 is a `hidden beast` number, since 1 + 5 + 41 + 433 + 96 + 90 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14162666049 + 1251673641 = 119007^2 + 35379^2 .

It is a super-2 number, since 2×154143396902 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (15414339691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9514215 + ... + 9515834.

Almost surely, 215414339690 is an apocalyptic number.

15414339690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15414339690 is an abundant number, since it is smaller than the sum of its proper divisors (26033109210).

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

15414339690 is a wasteful number, since it uses less digits than its factorization.

15414339690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19030068 (or 19030059 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 15414339690 in words is "fifteen billion, four hundred fourteen million, three hundred thirty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 19030049 38060098 57090147 95150245 114180294 171270441 190300490 285450735 342540882 513811323 570901470 856352205 1027622646 1541433969 1712704410 2569056615 3082867938 5138113230 7707169845 15414339690