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243400142736 = 2432411132
BaseRepresentation
bin1110001010101111000…
…1110110111110010000
3212021020222022100222100
43202223301312332100
512441440414031421
6303452205440400
723404453035252
oct3425361667620
9767228270870
10243400142736
1194253042863
123b20a270100
1319c4c9474ca
14bad0095cd2
1564e86e0c26
hex38abc76f90

243400142736 has 45 divisors (see below), whose sum is σ = 681198912849. Its totient is φ = 81131407488.

The previous prime is 243400142669. The next prime is 243400142743. The reversal of 243400142736 is 637241004342.

The square root of 243400142736 is 493356.

It is a perfect power (a square), and thus also a powerful number.

243400142736 is a `hidden beast` number, since 2 + 43 + 400 + 142 + 73 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191896563600 + 51503579136 = 438060^2 + 226944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 243400142736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5899716 + ... + 5940828.

Almost surely, 2243400142736 is an apocalyptic number.

243400142736 is the 493356-th square number.

It is an amenable number.

243400142736 is an abundant number, since it is smaller than the sum of its proper divisors (437798770113).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243400142736 is an frugal number, since it uses more digits than its factorization.

243400142736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82240 (or 41118 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 243400142736 by its sum of digits (36), we get a square (8762405138496 = 29601362).

243400142736 divided by its sum of digits (36) gives a square (6761115076 = 822262).

The spelling of 243400142736 in words is "two hundred forty-three billion, four hundred million, one hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 41113 82226 123339 164452 246678 328904 370017 493356 657808 740034 986712 1480068 1973424 2960136 5920272 1690278769 3380557538 5070836307 6761115076 10141672614 13522230152 15212508921 20283345228 27044460304 30425017842 40566690456 60850035684 81133380912 121700071368 243400142736