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40211749944 = 2333316005339
BaseRepresentation
bin100101011100110011…
…101001110000111000
310211210102111112211000
4211130303221300320
51124323201444234
630250101205000
72622325143402
oct453463516070
9124712445730
1040211749944
11160655369a3
127962a00760
133a3abc1aa2
141d3676bb72
1510a53b2899
hex95cce9c38

40211749944 has 64 divisors (see below), whose sum is σ = 115302528000. Its totient is φ = 12971530080.

The previous prime is 40211749937. The next prime is 40211749957. The reversal of 40211749944 is 44994711204.

40211749944 is a `hidden beast` number, since 4 + 0 + 2 + 117 + 499 + 44 = 666.

40211749944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40211749944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2995974 + ... + 3009365.

It is an arithmetic number, because the mean of its divisors is an integer number (1801602000).

Almost surely, 240211749944 is an apocalyptic number.

It is an amenable number.

40211749944 is an abundant number, since it is smaller than the sum of its proper divisors (75090778056).

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

40211749944 is a wasteful number, since it uses less digits than its factorization.

40211749944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005385 (or 6005375 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40211749944 in words is "forty billion, two hundred eleven million, seven hundred forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 6005339 12010678 18016017 24021356 36032034 48042712 54048051 72064068 108096102 144128136 162144153 186165509 216192204 324288306 372331018 432384408 558496527 648576612 744662036 1116993054 1297153224 1489324072 1675489581 2233986108 3350979162 4467972216 5026468743 6701958324 10052937486 13403916648 20105874972 40211749944