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40406550156 = 223271439111427
BaseRepresentation
bin100101101000011010…
…110000011010001100
310212022000001102110200
4211220122300122030
51130223034101111
630321300333500
72630212003140
oct455032603214
9125260042420
1040406550156
1116155498205
1279b80a4290
133a6c37839b
141d54599220
1510b7541256
hex9686b068c

40406550156 has 72 divisors (see below), whose sum is σ = 116812200960. Its totient is φ = 11536602336.

The previous prime is 40406550137. The next prime is 40406550157. The reversal of 40406550156 is 65105560404.

40406550156 is a `hidden beast` number, since 4 + 0 + 40 + 65 + 501 + 56 = 666.

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 40406550156.

It is not an unprimeable number, because it can be changed into a prime (40406550157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306915 + ... + 418341.

It is an arithmetic number, because the mean of its divisors is an integer number (1622391680).

Almost surely, 240406550156 is an apocalyptic number.

It is an amenable number.

40406550156 is an abundant number, since it is smaller than the sum of its proper divisors (76405650804).

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

40406550156 is a wasteful number, since it uses less digits than its factorization.

40406550156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112883 (or 112878 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 40406550156 in words is "forty billion, four hundred six million, five hundred fifty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1439 2878 4317 5756 8634 10073 12951 17268 20146 25902 30219 40292 51804 60438 90657 111427 120876 181314 222854 334281 362628 445708 668562 779989 1002843 1337124 1559978 2005686 2339967 3119956 4011372 4679934 7019901 9359868 14039802 28079604 160343453 320686906 481030359 641373812 962060718 1122404171 1443091077 1924121436 2244808342 2886182154 3367212513 4489616684 5772364308 6734425026 10101637539 13468850052 20203275078 40406550156