| Base | Representation |
|---|---|
| bin | 10011000110011001100111… |
| … | …00111001011100000000000 |
| 3 | 12111201021211101002200000000 |
| 4 | 21203030303213023200000 |
| 5 | 21001122231340040240 |
| 6 | 225155053200000000 |
| 7 | 11563332430504110 |
| oct | 1143146347134000 |
| 9 | 174637741080000 |
| 10 | 42001351096320 |
| 11 | 124237447a2590 |
| 12 | 4864187600000 |
| 13 | 1a58930a171c5 |
| 14 | a52c3a58b040 |
| 15 | 4cc84162e430 |
| hex | 2633339cb800 |
42001351096320 has 3456 divisors, whose sum is σ = 197210541265920. Its totient is φ = 8324445634560.
The previous prime is 42001351096301. The next prime is 42001351096339. The reversal of 42001351096320 is 2369015310024.
42001351096320 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 1 + 3 + 5 + 10 + 9 + 632 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (42001351096301) and next prime (42001351096339).
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-2 number, since 2×420013510963202 (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 an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118983997264 + ... + 118983997616.
It is an arithmetic number, because the mean of its divisors is an integer number (57063235320).
Almost surely, 242001351096320 is an apocalyptic number.
42001351096320 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 42001351096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98605270632960).
42001351096320 is an abundant number, since it is smaller than the sum of its proper divisors (155209190169600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42001351096320 is an equidigital number, since it uses as much as digits as its factorization.
42001351096320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 445 (or 404 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The spelling of 42001351096320 in words is "forty-two trillion, one billion, three hundred fifty-one million, ninety-six thousand, three hundred twenty".
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