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111434351424 = 26311131402767
BaseRepresentation
bin110011111001000000…
…0010100001101000000
3101122122001101120121220
41213302000110031000
53311204143221144
6123105304515040
711023306234014
oct1476200241500
9348561346556
10111434351424
1143293871610
121971b17ba80
13a67b715166
1455718b8544
152d72ec5919
hex19f2014340

111434351424 has 112 divisors (see below), whose sum is σ = 324096132096. Its totient is φ = 33510131200.

The previous prime is 111434351417. The next prime is 111434351429. The reversal of 111434351424 is 424153434111.

It is a super-2 number, since 2×1114343514242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111434351429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75289 + ... + 478055.

Almost surely, 2111434351424 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 111434351424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162048066048).

111434351424 is an abundant number, since it is smaller than the sum of its proper divisors (212661780672).

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

111434351424 is a wasteful number, since it uses less digits than its factorization.

111434351424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402924 (or 402914 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

Adding to 111434351424 its reverse (424153434111), we get a palindrome (535587785535).

The spelling of 111434351424 in words is "one hundred eleven billion, four hundred thirty-four million, three hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 131 132 176 192 262 264 352 393 524 528 704 786 1048 1056 1441 1572 2096 2112 2882 3144 4192 4323 5764 6288 8384 8646 11528 12576 17292 23056 25152 34584 46112 69168 92224 138336 276672 402767 805534 1208301 1611068 2416602 3222136 4430437 4833204 6444272 8860874 9666408 12888544 13291311 17721748 19332816 25777088 26582622 35443496 38665632 52762477 53165244 70886992 77331264 105524954 106330488 141773984 158287431 211049908 212660976 283547968 316574862 422099816 425321952 580387247 633149724 844199632 850643904 1160774494 1266299448 1688399264 1741161741 2321548988 2532598896 3376798528 3482323482 4643097976 5065197792 6964646964 9286195952 10130395584 13929293928 18572391904 27858587856 37144783808 55717175712 111434351424