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10232424444 = 22311374314861
BaseRepresentation
bin10011000011110011…
…00110011111111100
3222102010010000112010
421201321212133330
5131424000040234
64411204211220
7511366113144
oct114171463774
928363100463
1010232424444
114380a33a30
121b96999b10
13c70bb8128
146d0d85924
153ed4be6e9
hex261e667fc

10232424444 has 96 divisors (see below), whose sum is σ = 26817702912. Its totient is φ = 3009312000.

The previous prime is 10232424427. The next prime is 10232424463. The reversal of 10232424444 is 44442423201.

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, 2102574 + ... + 2107434.

It is an arithmetic number, because the mean of its divisors is an integer number (279351072).

Almost surely, 210232424444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232424444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408851456).

10232424444 is an abundant number, since it is smaller than the sum of its proper divisors (16585278468).

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

10232424444 is a wasteful number, since it uses less digits than its factorization.

10232424444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 10232424444 its reverse (44442423201), we get a palindrome (54674847645).

The spelling of 10232424444 in words is "ten billion, two hundred thirty-two million, four hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 431 444 814 862 1221 1293 1628 1724 2442 2586 4741 4861 4884 5172 9482 9722 14223 14583 15947 18964 19444 28446 29166 31894 47841 53471 56892 58332 63788 95682 106942 160413 175417 179857 191364 213884 320826 350834 359714 526251 539571 641652 701668 719428 1052502 1079142 1978427 2095091 2105004 2158284 3956854 4190182 5935281 6285273 7913708 8380364 11870562 12570546 23046001 23741124 25141092 46092002 69138003 77518367 92184004 138276006 155036734 232555101 276552012 310073468 465110202 852702037 930220404 1705404074 2558106111 3410808148 5116212222 10232424444