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40144116216 = 2337512227259
BaseRepresentation
bin100101011000110001…
…101001100111111000
310211121201020101210010
4211120301221213320
51124203343204331
630235243421520
72620544233461
oct453061514770
9124551211703
1040144116216
1116030341756
1279442248a0
133a29ba1329
141d2b7a3d68
15109e4a2e46
hex958c699f8

40144116216 has 32 divisors (see below), whose sum is σ = 100493971200. Its totient is φ = 13363548000.

The previous prime is 40144116193. The next prime is 40144116223. The reversal of 40144116216 is 61261144104.

40144116216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401441162162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095606 + ... + 1131653.

It is an arithmetic number, because the mean of its divisors is an integer number (3140436600).

Almost surely, 240144116216 is an apocalyptic number.

It is an amenable number.

40144116216 is an abundant number, since it is smaller than the sum of its proper divisors (60349854984).

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

40144116216 is a wasteful number, since it uses less digits than its factorization.

40144116216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228019 (or 2228015 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 40144116216 in words is "forty billion, one hundred forty-four million, one hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 751 1502 2253 3004 4506 6008 9012 18024 2227259 4454518 6681777 8909036 13363554 17818072 26727108 53454216 1672671509 3345343018 5018014527 6690686036 10036029054 13381372072 20072058108 40144116216