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10430150432 = 251395326309
BaseRepresentation
bin10011011011010111…
…10111011100100000
3222220220011112120212
421231223313130200
5132330104303212
64442550153252
7516316546562
oct115553673440
928826145525
1010430150432
114472603439
122031052828
13ca2b57360
1470d335332
15410a29e22
hex26daf7720

10430150432 has 48 divisors (see below), whose sum is σ = 22137970680. Its totient is φ = 4808681472.

The previous prime is 10430150431. The next prime is 10430150503. The reversal of 10430150432 is 23405103401.

It can be written as a sum of positive squares in 4 ways, for example, as 4251561616 + 6178588816 = 65204^2 + 78604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10430150398 and 10430150407.

It is not an unprimeable number, because it can be changed into a prime (10430150431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383294 + ... + 409602.

Almost surely, 210430150432 is an apocalyptic number.

It is an amenable number.

10430150432 is an abundant number, since it is smaller than the sum of its proper divisors (11707820248).

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

10430150432 is a wasteful number, since it uses less digits than its factorization.

10430150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27285 (or 27277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 10430150432 its reverse (23405103401), we get a palindrome (33835253833).

The spelling of 10430150432 in words is "ten billion, four hundred thirty million, one hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 953 1906 3812 7624 12389 15248 24778 26309 30496 49556 52618 99112 105236 198224 210472 342017 396448 420944 684034 841888 1368068 2736136 5472272 10944544 25072477 50144954 100289908 200579816 325942201 401159632 651884402 802319264 1303768804 2607537608 5215075216 10430150432