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10341432444 = 2237596193371
BaseRepresentation
bin10011010000110010…
…11011110001111100
3222200201020012101110
421220121123301330
5132134401314234
64430100442020
7514161503550
oct115031336174
928621205343
1010341432444
114427518292
1220073a9310
13c8a663ac5
1470163d860
15407d531e9
hex26865bc7c

10341432444 has 96 divisors (see below), whose sum is σ = 28098201600. Its totient is φ = 2899062720.

The previous prime is 10341432433. The next prime is 10341432481. The reversal of 10341432444 is 44423414301.

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, 3066079 + ... + 3069449.

It is an arithmetic number, because the mean of its divisors is an integer number (292689600).

Almost surely, 210341432444 is an apocalyptic number.

10341432444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10341432444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049100800).

10341432444 is an abundant number, since it is smaller than the sum of its proper divisors (17756769156).

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

10341432444 is a wasteful number, since it uses less digits than its factorization.

10341432444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10341432444 its reverse (44423414301), we get a palindrome (54764846745).

The spelling of 10341432444 in words is "ten billion, three hundred forty-one million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 619 708 826 1238 1239 1652 1857 2476 2478 3371 3714 4333 4956 6742 7428 8666 10113 12999 13484 17332 20226 23597 25998 36521 40452 47194 51996 70791 73042 94388 109563 141582 146084 198889 219126 255647 283164 397778 438252 511294 596667 766941 795556 1022588 1193334 1392223 1533882 2086649 2386668 2784446 3067764 4173298 4176669 5568892 6259947 8346596 8353338 12519894 14606543 16706676 25039788 29213086 43819629 58426172 87639258 123112291 175278516 246224582 369336873 492449164 738673746 861786037 1477347492 1723572074 2585358111 3447144148 5170716222 10341432444