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11412353424 = 243432149863
BaseRepresentation
bin10101010000011101…
…01011000110010000
31002110100100121210110
422220032223012100
5141333030302144
65124234201320
7552544255263
oct125016530620
932410317713
1011412353424
114926a8104a
122265b83240
1310cb4a2a64
147a396ccda
1546bd930b9
hex2a83ab190

11412353424 has 120 divisors (see below), whose sum is σ = 30421267200. Its totient is φ = 3686436096.

The previous prime is 11412353399. The next prime is 11412353429. The reversal of 11412353424 is 42435321411.

It is a junction number, because it is equal to n+sod(n) for n = 11412353391 and 11412353400.

It is not an unprimeable number, because it can be changed into a prime (11412353429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13223617 + ... + 13224479.

It is an arithmetic number, because the mean of its divisors is an integer number (253510560).

Almost surely, 211412353424 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 11412353424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210633600).

11412353424 is an abundant number, since it is smaller than the sum of its proper divisors (19008913776).

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

11412353424 is a wasteful number, since it uses less digits than its factorization.

11412353424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1060 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 11412353424 its reverse (42435321411), we get a palindrome (53847674835).

The spelling of 11412353424 in words is "eleven billion, four hundred twelve million, three hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 149 172 258 298 344 447 516 596 688 863 894 1032 1192 1726 1788 1849 2064 2384 2589 3452 3576 3698 5178 5547 6407 6904 7152 7396 10356 11094 12814 13808 14792 19221 20712 22188 25628 29584 37109 38442 41424 44376 51256 74218 76884 88752 102512 111327 128587 148436 153768 222654 257174 275501 296872 307536 385761 445308 514348 551002 593744 771522 826503 890616 1028696 1102004 1543044 1595687 1653006 1781232 2057392 2204008 3086088 3191374 3306012 4408016 4787061 5529241 6172176 6382748 6612024 9574122 11058482 12765496 13224048 16587723 19148244 22116964 25530992 33175446 38296488 44233928 66350892 76592976 88467856 132701784 237757363 265403568 475514726 713272089 951029452 1426544178 1902058904 2853088356 3804117808 5706176712 11412353424