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431442004441404 = 223115792875642281
BaseRepresentation
bin110001000011001001110101…
…1011010100111100100111100
32002120121110020002201101021210
41202012103223122213210330
5423022221211114111104
64125333415353524420
7156606441033003105
oct14206235332474474
92076543202641253
10431442004441404
1111551a587923520
1240480426413710
1315697a639b7208
147877c93aa13ac
1534d2be39dc989
hex18864eb6a793c

431442004441404 has 48 divisors (see below), whose sum is σ = 1098218101752576. Its totient is φ = 130739752483200.

The previous prime is 431442004441369. The next prime is 431442004441463. The reversal of 431442004441404 is 404144400244134.

It is a super-2 number, since 2×4314420044414042 (a number of 30 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 15 ways as a sum of consecutive naturals, for example, 73644744 + ... + 79287024.

It is an arithmetic number, because the mean of its divisors is an integer number (22879543786512).

Almost surely, 2431442004441404 is an apocalyptic number.

431442004441404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

431442004441404 is an abundant number, since it is smaller than the sum of its proper divisors (666776097311172).

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

431442004441404 is a wasteful number, since it uses less digits than its factorization.

431442004441404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221586 (or 6221584 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 431442004441404 its reverse (404144400244134), we get a palindrome (835586404685538).

The spelling of 431442004441404 in words is "four hundred thirty-one trillion, four hundred forty-two billion, four million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 579287 1158574 1737861 2317148 3475722 5642281 6372157 6951444 11284562 12744314 16926843 19116471 22569124 25488628 33853686 38232942 62065091 67707372 76465884 124130182 186195273 248260364 372390546 744781092 3268500033647 6537000067294 9805500100941 13074000134588 19611000201882 35953500370117 39222000403764 71907000740234 107860501110351 143814001480468 215721002220702 431442004441404