| Base | Representation |
|---|---|
| bin | 111100011111111000101… |
| … | …000001010110111000000 |
| 3 | 112201102222200022122221200 |
| 4 | 330133320220022313000 |
| 5 | 1021103331042430130 |
| 6 | 12501515122021200 |
| 7 | 606235235334000 |
| oct | 74377050126700 |
| 9 | 15642880278850 |
| 10 | 4157404655040 |
| 11 | 13631665a973a |
| 12 | 5718964a7800 |
| 13 | 242070462180 |
| 14 | 1053102a4000 |
| 15 | 73224b86760 |
| hex | 3c7f8a0adc0 |
4157404655040 has 1344 divisors, whose sum is σ = 18022263168000. Its totient is φ = 874075152384.
The previous prime is 4157404655029. The next prime is 4157404655057. The reversal of 4157404655040 is 405564047514.
4157404655040 is a `hidden beast` number, since 4 + 1 + 57 + 4 + 0 + 4 + 6 + 550 + 40 = 666.
4157404655040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×41574046550402 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6716323851 + ... + 6716324469.
It is an arithmetic number, because the mean of its divisors is an integer number (13409422000).
Almost surely, 24157404655040 is an apocalyptic number.
4157404655040 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 4157404655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011131584000).
4157404655040 is an abundant number, since it is smaller than the sum of its proper divisors (13864858512960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4157404655040 is a wasteful number, since it uses less digits than its factorization.
4157404655040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1199 (or 1172 counting only the distinct ones).
The product of its (nonzero) digits is 1344000, while the sum is 45.
The spelling of 4157404655040 in words is "four trillion, one hundred fifty-seven billion, four hundred four million, six hundred fifty-five thousand, forty".
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