Base | Representation |
---|---|
bin | 1001001110011100010010… |
… | …0011011011001001000000 |
3 | 1022220201200222010100000000 |
4 | 2103213010203123021000 |
5 | 2312143312121001100 |
6 | 33323543013000000 |
7 | 2064600503215242 |
oct | 223470443331100 |
9 | 38821628110000 |
10 | 10143715406400 |
11 | 3260a1a99aa64 |
12 | 1179b05923000 |
13 | 5877186a6734 |
14 | 270d5bd8c092 |
15 | 128cdbe20900 |
hex | 939c48db240 |
10143715406400 has 567 divisors, whose sum is σ = 37476041555641. Its totient is φ = 2702239004160.
The previous prime is 10143715406381. The next prime is 10143715406437. The reversal of 10143715406400 is 460451734101.
The square root of 10143715406400 is 3184920.
It is a perfect power (a square), and thus also a powerful number.
10143715406400 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 7 + 1 + 5 + 4 + 0 + 640 + 0 = 666.
It can be written as a sum of positive squares in only one way, i.e., 3651737546304 + 6491977860096 = 1910952^2 + 2547936^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10319140309 + ... + 10319141291.
Almost surely, 210143715406400 is an apocalyptic number.
10143715406400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
10143715406400 is the 3184920-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10143715406400
10143715406400 is an abundant number, since it is smaller than the sum of its proper divisors (27332326149241).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10143715406400 is an frugal number, since it uses more digits than its factorization.
10143715406400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2012 (or 993 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
Multiplying 10143715406400 by its sum of digits (36), we get a square (365173754630400 = 191095202).
10143715406400 divided by its sum of digits (36) gives a square (281769872400 = 5308202).
The spelling of 10143715406400 in words is "ten trillion, one hundred forty-three billion, seven hundred fifteen million, four hundred six thousand, four hundred".
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