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10400000430 = 2358319492143
BaseRepresentation
bin10011010111110001…
…10110100110101110
3222211210102202120010
421223320312212232
5132244400003210
64435552034050
7515502354651
oct115370664656
928753382503
1010400000430
114457590286
122022b32926
13c9982c011
14709327898
1540d071920
hex26be369ae

10400000430 has 64 divisors (see below), whose sum is σ = 25285478400. Its totient is φ = 2737236096.

The previous prime is 10400000423. The next prime is 10400000447. The reversal of 10400000430 is 3400000401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4851939 + ... + 4854081.

It is an arithmetic number, because the mean of its divisors is an integer number (395085600).

Almost surely, 210400000430 is an apocalyptic number.

10400000430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400000430 is an abundant number, since it is smaller than the sum of its proper divisors (14885477970).

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

10400000430 is a wasteful number, since it uses less digits than its factorization.

10400000430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10400000430 its reverse (3400000401), we get a palindrome (13800000831).

The spelling of 10400000430 in words is "ten billion, four hundred million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 830 1245 1949 2143 2490 3898 4286 5847 6429 9745 10715 11694 12858 19490 21430 29235 32145 58470 64290 161767 177869 323534 355738 485301 533607 808835 889345 970602 1067214 1617670 1778690 2426505 2668035 4176707 4853010 5336070 8353414 12530121 20883535 25060242 41767070 62650605 125301210 346666681 693333362 1040000043 1733333405 2080000086 3466666810 5200000215 10400000430