Search a number
-
+
40354302204 = 2232311091572113
BaseRepresentation
bin100101100101010011…
…011100100011111100
310212011100201221202100
4211211103130203330
51130121200132304
630312152425100
72626005623556
oct454523344374
9125140657670
1040354302204
1116128a51587
1279a26a8190
133a615b3a38
141d4b6784d6
1510b2b70439
hex9654dc8fc

40354302204 has 144 divisors (see below), whose sum is σ = 106990723840. Its totient is φ = 12809871360.

The previous prime is 40354302199. The next prime is 40354302269. The reversal of 40354302204 is 40220345304.

40354302204 is a `hidden beast` number, since 4 + 0 + 3 + 5 + 430 + 220 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19097052 + ... + 19099164.

Almost surely, 240354302204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40354302204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53495361920).

40354302204 is an abundant number, since it is smaller than the sum of its proper divisors (66636421636).

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

40354302204 is a wasteful number, since it uses less digits than its factorization.

40354302204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 40354302204 its reverse (40220345304), we get a palindrome (80574647508).

The spelling of 40354302204 in words is "forty billion, three hundred fifty-four million, three hundred two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 109 124 157 186 218 279 314 327 372 436 471 558 628 654 942 981 1116 1308 1413 1884 1962 2113 2826 3379 3924 4226 4867 5652 6339 6758 8452 9734 10137 12678 13516 14601 17113 19017 19468 20274 25356 29202 30411 34226 38034 40548 43803 51339 58404 60822 65503 68452 76068 87606 102678 121644 131006 154017 175212 196509 205356 230317 262012 308034 331741 393018 460634 530503 589527 616068 663482 690951 786036 921268 995223 1061006 1179054 1326964 1381902 1591509 1990446 2072853 2122012 2358108 2763804 2985669 3183018 3980892 4145706 4774527 5971338 6366036 7139827 8291412 9549054 10283971 11942676 14279654 19098108 20567942 21419481 28559308 30851913 36159769 41135884 42838962 61703826 64258443 72319538 85677924 92555739 108479307 123407652 128516886 144639076 185111478 216958614 257033772 325437921 370222956 433917228 650875842 1120952839 1301751684 2241905678 3362858517 4483811356 6725717034 10088575551 13451434068 20177151102 40354302204