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40343132736 = 263283692
BaseRepresentation
bin100101100100101000…
…110101101001000000
310212010120201111010100
4211210220311221000
51130110320221421
630311113202400
72625511653534
oct454450655100
9125116644110
1040343132736
1116122712815
12799aa00400
133a5c1a2a9a
141d49dabbc4
1510b1bb5c26
hex964a35a40

40343132736 has 63 divisors (see below), whose sum is σ = 115650124681. Its totient is φ = 13446104064.

The previous prime is 40343132729. The next prime is 40343132741. The reversal of 40343132736 is 63723134304.

The square root of 40343132736 is 200856.

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

40343132736 is a `hidden beast` number, since 40 + 34 + 313 + 273 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29191772736 + 11151360000 = 170856^2 + 105600^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40343132736.

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, 4816360 + ... + 4824728.

Almost surely, 240343132736 is an apocalyptic number.

40343132736 is the 200856-th square number.

It is an amenable number.

40343132736 is an abundant number, since it is smaller than the sum of its proper divisors (75306991945).

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

40343132736 is an frugal number, since it uses more digits than its factorization.

40343132736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16756 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

Multiplying 40343132736 by its sum of digits (36), we get a square (1452352778496 = 12051362).

40343132736 divided by its sum of digits (36) gives a square (1120642576 = 334762).

The spelling of 40343132736 in words is "forty billion, three hundred forty-three million, one hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 8369 16738 25107 33476 50214 66952 75321 100428 133904 150642 200856 267808 301284 401712 535616 602568 803424 1205136 1606848 2410272 4820544 70040161 140080322 210120483 280160644 420240966 560321288 630361449 840481932 1120642576 1260722898 1680963864 2241285152 2521445796 3361927728 4482570304 5042891592 6723855456 10085783184 13447710912 20171566368 40343132736