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40412003214 = 231123200313291
BaseRepresentation
bin100101101000101111…
…100011101110001110
310212022101022110122210
4211220233203232032
51130230433100324
630322013251250
72630306234232
oct455057435616
9125271273583
1040412003214
1116158582170
1279b9a93b26
133a7053744b
141d551b85c2
1510b7c6bd29
hex968be3b8e

40412003214 has 64 divisors (see below), whose sum is σ = 92058052608. Its totient is φ = 11706895200.

The previous prime is 40412003201. The next prime is 40412003249. The reversal of 40412003214 is 41230021404.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3033909 + ... + 3047199.

It is an arithmetic number, because the mean of its divisors is an integer number (1438407072).

Almost surely, 240412003214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40412003214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46029026304).

40412003214 is an abundant number, since it is smaller than the sum of its proper divisors (51646049394).

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

40412003214 is a wasteful number, since it uses less digits than its factorization.

40412003214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15333.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40412003214 its reverse (41230021404), we get a palindrome (81642024618).

The spelling of 40412003214 in words is "forty billion, four hundred twelve million, three thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 2003 4006 6009 12018 13291 22033 26582 39873 44066 46069 66099 79746 92138 132198 138207 146201 276414 292402 305693 438603 506759 611386 877206 917079 1013518 1520277 1834158 3040554 3362623 6725246 10087869 20175738 26621873 53243746 79865619 159731238 292840603 585681206 612303079 878521809 1224606158 1757043618 1836909237 3673818474 6735333869 13470667738 20206001607 40412003214