Base | Representation |
---|---|
bin | 10010010000001000111111… |
… | …11111111111110111010011 |
3 | 12021010001121222100201010200 |
4 | 21020010133333333313103 |
5 | 20230101042100021400 |
6 | 221210404111430243 |
7 | 11311542301005150 |
oct | 1110043777776723 |
9 | 167101558321120 |
10 | 40137006251475 |
11 | 11875010728681 |
12 | 46029a2225383 |
13 | 1951b98b53813 |
14 | 9ca8da28b227 |
15 | 4990c7bd1b00 |
hex | 24811ffffdd3 |
40137006251475 has 144 divisors (see below), whose sum is σ = 85738946022912. Its totient is φ = 17549165652480.
The previous prime is 40137006251327. The next prime is 40137006251497. The reversal of 40137006251475 is 57415260073104.
40137006251475 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 7 + 0 + 0 + 62 + 514 + 75 = 666.
It is not a de Polignac number, because 40137006251475 - 218 = 40137005989331 is a prime.
It is a super-3 number, since 3×401370062514753 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a self number, because there is not a number n which added to its sum of digits gives 40137006251475.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 532940772 + ... + 533016078.
Almost surely, 240137006251475 is an apocalyptic number.
40137006251475 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
40137006251475 is an abundant number, since it is smaller than the sum of its proper divisors (45601939771437).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40137006251475 is a wasteful number, since it uses less digits than its factorization.
40137006251475 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90066 (or 90058 counting only the distinct ones).
The product of its (nonzero) digits is 705600, while the sum is 45.
The spelling of 40137006251475 in words is "forty trillion, one hundred thirty-seven billion, six million, two hundred fifty-one thousand, four hundred seventy-five".
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