| Base | Representation |
|---|---|
| bin | 10010010000100011101101… |
| … | …00111010111101011100000 |
| 3 | 12021011102122012221210211100 |
| 4 | 21020101312213113223200 |
| 5 | 20230314423121040404 |
| 6 | 221221134542114400 |
| 7 | 11312560512355011 |
| oct | 1110216647275340 |
| 9 | 167142565853740 |
| 10 | 40151344315104 |
| 11 | 118800a9139040 |
| 12 | 4605723b7ba00 |
| 13 | 19533424c9839 |
| 14 | 9cb49a605008 |
| 15 | 499666841d39 |
| hex | 2484769d7ae0 |
40151344315104 has 288 divisors, whose sum is σ = 126620683757568. Its totient is φ = 11965885056000.
The previous prime is 40151344315087. The next prime is 40151344315109.
40151344315104 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 134 + 4 + 3 + 1 + 510 + 4 = 666.
40151344315104 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×401513443151042 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40151344315109) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093059497 + ... + 2093078679.
It is an arithmetic number, because the mean of its divisors is an integer number (439655151936).
Almost surely, 240151344315104 is an apocalyptic number.
40151344315104 is a gapful number since it is divisible by the number (44) 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 40151344315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63310341878784).
40151344315104 is an abundant number, since it is smaller than the sum of its proper divisors (86469339442464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40151344315104 is a wasteful number, since it uses less digits than its factorization.
40151344315104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30102 (or 30091 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The spelling of 40151344315104 in words is "forty trillion, one hundred fifty-one billion, three hundred forty-four million, three hundred fifteen thousand, one hundred four".
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