Base | Representation |
---|---|
bin | 100101011001010000… |
… | …100111110011000000 |
3 | 10211122021111212221020 |
4 | 211121100213303000 |
5 | 1124212433011300 |
6 | 30240133425440 |
7 | 2621003240130 |
oct | 453120476300 |
9 | 124567455836 |
10 | 40152235200 |
11 | 16034987660 |
12 | 7946a9b280 |
13 | 3a2b78496c |
14 | 1d2c8b8ac0 |
15 | 10a00588a0 |
hex | 959427cc0 |
40152235200 has 336 divisors, whose sum is σ = 164239797504. Its totient is φ = 8343244800.
The previous prime is 40152235163. The next prime is 40152235217. The reversal of 40152235200 is 253225104.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×401522352002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315282 + ... + 423918.
Almost surely, 240152235200 is an apocalyptic number.
40152235200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40152235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82119898752).
40152235200 is an abundant number, since it is smaller than the sum of its proper divisors (124087562304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40152235200 is a wasteful number, since it uses less digits than its factorization.
40152235200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 108680 (or 108665 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 24.
The spelling of 40152235200 in words is "forty billion, one hundred fifty-two million, two hundred thirty-five thousand, two hundred".
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