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1432115322430 = 2513172412688863
BaseRepresentation
bin10100110101110000101…
…110011001111000111110
312001220112120122012201011
4110311300232121320332
5141430433010304210
63013523225305434
7205316103250462
oct24656056317076
95056476565634
101432115322430
115023a1845381
121b167863527a
13a50812c3140
144d45996c4a2
15273bc82ad8a
hex14d70b99e3e

1432115322430 has 64 divisors (see below), whose sum is σ = 2951598279168. Its totient is φ = 495611043840.

The previous prime is 1432115322427. The next prime is 1432115322461. The reversal of 1432115322430 is 342235112341.

It is a super-2 number, since 2×14321153224302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1432115322392 and 1432115322401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811822 + ... + 1877041.

It is an arithmetic number, because the mean of its divisors is an integer number (46118723112).

Almost surely, 21432115322430 is an apocalyptic number.

1432115322430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1432115322430 is an abundant number, since it is smaller than the sum of its proper divisors (1519482956738).

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

1432115322430 is a wasteful number, since it uses less digits than its factorization.

1432115322430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689141.

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 1432115322430 in words is "one trillion, four hundred thirty-two billion, one hundred fifteen million, three hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 241 442 482 1105 1205 2210 2410 3133 4097 6266 8194 15665 20485 31330 40970 53261 106522 266305 532610 2688863 5377726 13444315 26888630 34955219 45710671 69910438 91421342 174776095 228553355 349552190 457106710 594238723 648015983 1188477446 1296031966 2971193615 3240079915 5942387230 6480159830 8424207779 11016271711 16848415558 22032543422 42121038895 55081358555 84242077790 110162717110 143211532243 286423064486 716057661215 1432115322430