| Base | Representation |
|---|---|
| bin | 1100101101010010110101… |
| … | …1101111010100000000000 |
| 3 | 1211110201221000100202222000 |
| 4 | 3023110231131322200000 |
| 5 | 3312410223101233100 |
| 6 | 45414440532144000 |
| 7 | 2641315256401602 |
| oct | 313245535724000 |
| 9 | 54421830322860 |
| 10 | 13972291430400 |
| 11 | 44a768528a196 |
| 12 | 1697b10168000 |
| 13 | 7a4773523534 |
| 14 | 3643964a1172 |
| 15 | 1936b8551900 |
| hex | cb52d77a800 |
13972291430400 has 864 divisors, whose sum is σ = 53071215724800. Its totient is φ = 3599437824000.
The previous prime is 13972291430399. The next prime is 13972291430401. The reversal of 13972291430400 is 403419227931.
13972291430400 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 229 + 14 + 3 + 0 + 400 = 666.
It is an interprime number because it is at equal distance from previous prime (13972291430399) and next prime (13972291430401).
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (13972291430401) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24469862115 + ... + 24469862685.
It is an arithmetic number, because the mean of its divisors is an integer number (61425018200).
Almost surely, 213972291430400 is an apocalyptic number.
13972291430400 is a gapful number since it is divisible by the number (10) 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 13972291430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535607862400).
13972291430400 is an abundant number, since it is smaller than the sum of its proper divisors (39098924294400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13972291430400 is an frugal number, since it uses more digits than its factorization.
13972291430400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1214 (or 612 counting only the distinct ones).
The product of its (nonzero) digits is 326592, while the sum is 45.
The spelling of 13972291430400 in words is "thirteen trillion, nine hundred seventy-two billion, two hundred ninety-one million, four hundred thirty thousand, four hundred".
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