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3434401132040 = 235318126991521
BaseRepresentation
bin110001111110100010010…
…000100110111000001000
3110011022210022122012222102
4301332202100212320020
5422232123142211130
611145424143212532
7503061442645514
oct61764220467010
913138708565872
103434401132040
1111045809a480a
12475739ba7148
131bbb2a2a1678
14bc323c35144
155e50b325645
hex31fa2426e08

3434401132040 has 32 divisors (see below), whose sum is σ = 7729832070360. Its totient is φ = 1373328537600.

The previous prime is 3434401132013. The next prime is 3434401132079. The reversal of 3434401132040 is 402311044343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1689058931044 + 1745342200996 = 1299638^2 + 1321114^2 .

It is a super-2 number, since 2×34344011320402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3434401131994 and 3434401132012.

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, 13368521 + ... + 13623000.

Almost surely, 23434401132040 is an apocalyptic number.

It is an amenable number.

3434401132040 is an abundant number, since it is smaller than the sum of its proper divisors (4295430938320).

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

3434401132040 is a wasteful number, since it uses less digits than its factorization.

3434401132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26994713 (or 26994709 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3434401132040 its reverse (402311044343), we get a palindrome (3836712176383).

The spelling of 3434401132040 in words is "three trillion, four hundred thirty-four billion, four hundred one million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3181 6362 12724 15905 25448 31810 63620 127240 26991521 53983042 107966084 134957605 215932168 269915210 539830420 1079660840 85860028301 171720056602 343440113204 429300141505 686880226408 858600283010 1717200566020 3434401132040