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4040022144 = 27331213371
BaseRepresentation
bin1111000011001101…
…1101100010000000
3101102120000101111210
43300303131202000
531233221202034
61504515410120
7202054423134
oct36063354200
911376011453
104040022144
11179353a484
12948bb3940
134c4cc5362
142a47b13c4
15189a2d8e9
hexf0cdd880

4040022144 has 64 divisors (see below), whose sum is σ = 10737931680. Its totient is φ = 1345843200.

The previous prime is 4040022139. The next prime is 4040022157. The reversal of 4040022144 is 4412200404.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4040022144.

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, 1196779 + ... + 1200149.

Almost surely, 24040022144 is an apocalyptic number.

It is an amenable number.

4040022144 is an abundant number, since it is smaller than the sum of its proper divisors (6697909536).

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

4040022144 is a wasteful number, since it uses less digits than its factorization.

4040022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4040022144 is about 63561.1685229276. The cubic root of 4040022144 is about 1592.6777582694.

Adding to 4040022144 its reverse (4412200404), we get a palindrome (8452222548).

The spelling of 4040022144 in words is "four billion, forty million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3121 3371 6242 6742 9363 10113 12484 13484 18726 20226 24968 26968 37452 40452 49936 53936 74904 80904 99872 107872 149808 161808 199744 215744 299616 323616 399488 431488 599232 647232 1198464 1294464 10520891 21041782 31562673 42083564 63125346 84167128 126250692 168334256 252501384 336668512 505002768 673337024 1010005536 1346674048 2020011072 4040022144