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10434341440 = 265265912263
BaseRepresentation
bin10011011011110111…
…10110101001000000
3222221012001110120101
421231323312221000
5132332142411230
64443220052144
7516400303345
oct115573665100
928835043511
1010434341440
114474a06186
122032534054
13ca3993b43
1470db067cc
154110a6aca
hex26def6a40

10434341440 has 56 divisors (see below), whose sum is σ = 24858146880. Its totient is φ = 4171826688.

The previous prime is 10434341417. The next prime is 10434341441. The reversal of 10434341440 is 4414343401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10434341399 and 10434341408.

It is not an unprimeable number, because it can be changed into a prime (10434341441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 844749 + ... + 857011.

It is an arithmetic number, because the mean of its divisors is an integer number (443895480).

Almost surely, 210434341440 is an apocalyptic number.

10434341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434341440 is an abundant number, since it is smaller than the sum of its proper divisors (14423805440).

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

10434341440 is a wasteful number, since it uses less digits than its factorization.

10434341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14939 (or 14929 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10434341440 its reverse (4414343401), we get a palindrome (14848684841).

The spelling of 10434341440 in words is "ten billion, four hundred thirty-four million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2659 5318 10636 12263 13295 21272 24526 26590 42544 49052 53180 61315 85088 98104 106360 122630 170176 196208 212720 245260 392416 425440 490520 784832 850880 981040 1962080 3924160 32607317 65214634 130429268 163036585 260858536 326073170 521717072 652146340 1043434144 1304292680 2086868288 2608585360 5217170720 10434341440