| Base | Representation |
|---|---|
| bin | 101101101010100011000010… |
| … | …0011110110100111111110000 |
| 3 | 1221200012110021111020022100000 |
| 4 | 1123111012010132310333300 |
| 5 | 410121442431421204440 |
| 6 | 3542141301003030000 |
| 7 | 150414556055223600 |
| oct | 13325060436647760 |
| 9 | 1850173244208300 |
| 10 | 401671859163120 |
| 11 | 106a92095a2a9a7 |
| 12 | 39072844b0b300 |
| 13 | 14318655b24550 |
| 14 | 7129043824c00 |
| 15 | 3168618166730 |
| hex | 16d51847b4ff0 |
401671859163120 has 5760 divisors, whose sum is σ = 1966162117570560. Its totient is φ = 75066204487680.
The previous prime is 401671859163083. The next prime is 401671859163131. The reversal of 401671859163120 is 21361958176104.
401671859163120 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 7 + 18 + 591 + 6 + 31 + 2 + 0 = 666.
It is a super-2 number, since 2×4016718591631202 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 931953269305 + ... + 931953269735.
It is an arithmetic number, because the mean of its divisors is an integer number (341347589856).
It is a 1-persistent number, because it is pandigital, but 2⋅401671859163120 = 803343718326240 is not.
Almost surely, 2401671859163120 is an apocalyptic number.
401671859163120 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 401671859163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983081058785280).
401671859163120 is an abundant number, since it is smaller than the sum of its proper divisors (1564490258407440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401671859163120 is a wasteful number, since it uses less digits than its factorization.
401671859163120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 755 (or 730 counting only the distinct ones).
The product of its (nonzero) digits is 2177280, while the sum is 54.
The spelling of 401671859163120 in words is "four hundred one trillion, six hundred seventy-one billion, eight hundred fifty-nine million, one hundred sixty-three thousand, one hundred twenty".
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