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1034435245404 = 22311293119744249
BaseRepresentation
bin11110000110110010010…
…01010011010101011100
310122220001120102010202110
433003121021103111130
5113422010410323104
62111114001154020
7134510161336341
oct17033111232534
93586046363673
101034435245404
113697798014a0
1214859232b910
13767154b42b2
14380d19427c8
151bd9493be89
hexf0d925355c

1034435245404 has 192 divisors, whose sum is σ = 2826109440000. Its totient is φ = 291399628800.

The previous prime is 1034435245387. The next prime is 1034435245447. The reversal of 1034435245404 is 4045425344301.

1034435245404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23355472 + ... + 23399720.

It is an arithmetic number, because the mean of its divisors is an integer number (14719320000).

Almost surely, 21034435245404 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 1034435245404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413054720000).

1034435245404 is an abundant number, since it is smaller than the sum of its proper divisors (1791674194596).

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

1034435245404 is a wasteful number, since it uses less digits than its factorization.

1034435245404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44524 (or 44522 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 1034435245404 in words is "one trillion, thirty-four billion, four hundred thirty-five million, two hundred forty-five thousand, four hundred four".