Search a number
-
+
10144213324 = 22771103107463
BaseRepresentation
bin10010111001010010…
…00110100101001100
3222011222010102121121
421130221012211030
5131233404311244
64354333410324
7506245250650
oct113451064514
928158112547
1010144213324
114336164683
121b713399a4
13c588414bb
146c3382a60
153e5897c84
hex25ca4694c

10144213324 has 96 divisors (see below), whose sum is σ = 21013364736. Its totient is φ = 4195920960.

The previous prime is 10144213307. The next prime is 10144213337. The reversal of 10144213324 is 42331244101.

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, 21909517 + ... + 21909979.

It is an arithmetic number, because the mean of its divisors is an integer number (218889216).

Almost surely, 210144213324 is an apocalyptic number.

10144213324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10144213324 is an abundant number, since it is smaller than the sum of its proper divisors (10869151412).

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

10144213324 is a wasteful number, since it uses less digits than its factorization.

10144213324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10144213324 its reverse (42331244101), we get a palindrome (52475457425).

The spelling of 10144213324 in words is "ten billion, one hundred forty-four million, two hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 71 103 107 142 206 214 284 412 428 463 497 721 749 926 994 1442 1498 1852 1988 2884 2996 3241 6482 7313 7597 11021 12964 14626 15194 22042 29252 30388 32873 44084 47689 49541 51191 53179 65746 77147 95378 99082 102382 106358 131492 154294 190756 198164 204764 212716 230111 308588 333823 346787 460222 667646 693574 782491 920444 1335292 1387148 1564982 3129964 3385919 3517411 5102723 5477437 6771838 7034822 10205446 10954874 13543676 14069644 20410892 21909748 23701433 24621877 35719061 47402866 49243754 71438122 94805732 98487508 142876244 362293333 724586666 1449173332 2536053331 5072106662 10144213324