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5040444132 = 22333113910831
BaseRepresentation
bin1001011000110111…
…10001001011100100
3111000021111002111000
410230123301023210
540310323203012
62152054113300
7235623032253
oct45433611344
914007432430
105040444132
112157221309
12b8804b830
1362434c629
1435b5cc79a
151e7794ddc
hex12c6f12e4

5040444132 has 96 divisors (see below), whose sum is σ = 13587660800. Its totient is φ = 1614103200.

The previous prime is 5040444113. The next prime is 5040444221. The reversal of 5040444132 is 2314440405.

It is a happy number.

5040444132 is a `hidden beast` number, since 50 + 40 + 444 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5040444096 and 5040444105.

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, 459957 + ... + 470787.

Almost surely, 25040444132 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 5040444132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793830400).

5040444132 is an abundant number, since it is smaller than the sum of its proper divisors (8547216668).

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

5040444132 is a wasteful number, since it uses less digits than its factorization.

5040444132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014 (or 11006 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5040444132 is about 70996.0853286996. The cubic root of 5040444132 is about 1714.5741370783.

Adding to 5040444132 its reverse (2314440405), we get a palindrome (7354884537).

The spelling of 5040444132 in words is "five billion, forty million, four hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 139 186 278 279 372 417 556 558 834 837 1116 1251 1668 1674 2502 3348 3753 4309 5004 7506 8618 10831 12927 15012 17236 21662 25854 32493 38781 43324 51708 64986 77562 97479 116343 129972 155124 194958 232686 292437 335761 389916 465372 584874 671522 1007283 1169748 1343044 1505509 2014566 3011018 3021849 4029132 4516527 6022036 6043698 9033054 9065547 12087396 13549581 18066108 18131094 27099162 36262188 40648743 46670779 54198324 81297486 93341558 140012337 162594972 186683116 280024674 420037011 560049348 840074022 1260111033 1680148044 2520222066 5040444132