Search a number
-
+
10143715406400 = 2638529832
BaseRepresentation
bin1001001110011100010010…
…0011011011001001000000
31022220201200222010100000000
42103213010203123021000
52312143312121001100
633323543013000000
72064600503215242
oct223470443331100
938821628110000
1010143715406400
113260a1a99aa64
121179b05923000
135877186a6734
14270d5bd8c092
15128cdbe20900
hex939c48db240

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".