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40349797682472 = 2332560413856701
BaseRepresentation
bin10010010110010101010110…
…10110111000110100101000
312021212101212202222102012200
421023022223112320310220
520242042341201314342
6221452235142340200
711333114413222665
oct1113125326706450
9167771782872180
1040349797682472
1111947286969253
12463808972a660
131968c7b279c75
149d6d25124a6c
1549e8ce10994c
hex24b2ab5b8d28

40349797682472 has 24 divisors (see below), whose sum is σ = 109280702056890. Its totient is φ = 13449932560800.

The previous prime is 40349797682471. The next prime is 40349797682473. The reversal of 40349797682472 is 27428679794304.

40349797682472 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 9 + 7 + 9 + 76 + 82 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (40349797682471) and next prime (40349797682473).

It can be written as a sum of positive squares in only one way, i.e., 38678274502596 + 1671523179876 = 6219186^2 + 1292874^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 560413856701 = 40349797682472 / (4 + 0 + 3 + 4 + 9 + 7 + 9 + 7 + 6 + 8 + 2 + 4 + 7 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 40349797682472.

It is not an unprimeable number, because it can be changed into a prime (40349797682471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280206928279 + ... + 280206928422.

Almost surely, 240349797682472 is an apocalyptic number.

It is an amenable number.

40349797682472 is an abundant number, since it is smaller than the sum of its proper divisors (68930904374418).

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

40349797682472 is a wasteful number, since it uses less digits than its factorization.

40349797682472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560413856713 (or 560413856706 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 40349797682472 in words is "forty trillion, three hundred forty-nine billion, seven hundred ninety-seven million, six hundred eighty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 560413856701 1120827713402 1681241570103 2241655426804 3362483140206 4483310853608 5043724710309 6724966280412 10087449420618 13449932560824 20174898841236 40349797682472