| Base | Representation |
|---|---|
| bin | 10011011000010011000010… |
| … | …01100110010100000000000 |
| 3 | 12120220002002221220100220000 |
| 4 | 21230021201030302200000 |
| 5 | 21041211133320102230 |
| 6 | 230345353424520000 |
| 7 | 11655632356213560 |
| oct | 1154114114624000 |
| 9 | 176802087810800 |
| 10 | 42616296253440 |
| 11 | 126405192598a8 |
| 12 | 49433a7480000 |
| 13 | 1aa1912a2ac40 |
| 14 | a748d565ada0 |
| 15 | 4dd83357bb60 |
| hex | 26c261332800 |
42616296253440 has 3840 divisors, whose sum is σ = 197354215618560. Its totient is φ = 8556317245440.
The previous prime is 42616296253417. The next prime is 42616296253463. The reversal of 42616296253440 is 4435269261624.
42616296253440 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 6 + 2 + 9 + 62 + 534 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (42616296253417) and next prime (42616296253463).
It is a tau number, because it is divible by the number of its divisors (3840).
It is a super-2 number, since 2×426162962534402 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 145448109934 + ... + 145448110226.
It is an arithmetic number, because the mean of its divisors is an integer number (51394326984).
Almost surely, 242616296253440 is an apocalyptic number.
42616296253440 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 42616296253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98677107809280).
42616296253440 is an abundant number, since it is smaller than the sum of its proper divisors (154737919365120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42616296253440 is a wasteful number, since it uses less digits than its factorization.
42616296253440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 440 (or 411 counting only the distinct ones).
The product of its (nonzero) digits is 14929920, while the sum is 54.
The spelling of 42616296253440 in words is "forty-two trillion, six hundred sixteen billion, two hundred ninety-six million, two hundred fifty-three thousand, four hundred forty".
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