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42022040040 = 23325532202413
BaseRepresentation
bin100111001000101101…
…010111000111101000
311000110120212210222100
4213020231113013220
51142030120240130
631145450053400
73015226306161
oct471055270750
9130416783870
1042022040040
1116904389712
12818911a260
133c68c75766
142068d62768
15115e29ec60
hex9c8b571e8

42022040040 has 96 divisors (see below), whose sum is σ = 139148516520. Its totient is φ = 10994440704.

The previous prime is 42022039921. The next prime is 42022040057. The reversal of 42022040040 is 4004022024.

42022040040 is a `hidden beast` number, since 4 + 2 + 0 + 220 + 400 + 40 = 666.

42022040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40935810276 + 1086229764 = 202326^2 + 32958^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42022039995 and 42022040022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082127 + ... + 1120286.

Almost surely, 242022040040 is an apocalyptic number.

42022040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42022040040 is an abundant number, since it is smaller than the sum of its proper divisors (97126476480).

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

42022040040 is a wasteful number, since it uses less digits than its factorization.

42022040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202483 (or 2202476 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42022040040 its reverse (4004022024), we get a palindrome (46026062064).

The spelling of 42022040040 in words is "forty-two billion, twenty-two million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 2202413 4404826 6607239 8809652 11012065 13214478 17619304 19821717 22024130 26428956 33036195 39643434 44048260 52857912 66072390 79286868 88096520 99108585 116727889 132144780 158573736 198217170 233455778 264289560 350183667 396434340 466911556 583639445 700367334 792868680 933823112 1050551001 1167278890 1400734668 1750918335 2101102002 2334557780 2801469336 3501836670 4202204004 4669115560 5252755005 7003673340 8404408008 10505510010 14007346680 21011020020 42022040040