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1104024044424 = 2337127148134939
BaseRepresentation
bin10000000100001100111…
…101100000001110001000
310220112200100000101221010
4100010030331200032020
5121042020123410144
62203103122443520
7142522513353330
oct20041475401610
93815610011833
101104024044424
11396239878144
12159b735035a0
1380155697c52
143b613aba0c0
151dab8dc55b9
hex1010cf60388

1104024044424 has 128 divisors (see below), whose sum is σ = 3181429555200. Its totient is φ = 312731435520.

The previous prime is 1104024044423. The next prime is 1104024044441. The reversal of 1104024044424 is 4244404204011.

It is a junction number, because it is equal to n+sod(n) for n = 1104024044391 and 1104024044400.

It is not an unprimeable number, because it can be changed into a prime (1104024044423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31581147 + ... + 31616085.

It is an arithmetic number, because the mean of its divisors is an integer number (24854918400).

Almost surely, 21104024044424 is an apocalyptic number.

1104024044424 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 1104024044424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590714777600).

1104024044424 is an abundant number, since it is smaller than the sum of its proper divisors (2077405510776).

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

1104024044424 is a wasteful number, since it uses less digits than its factorization.

1104024044424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36563 (or 36559 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 1104024044424 its reverse (4244404204011), we get a palindrome (5348428248435).

The spelling of 1104024044424 in words is "one trillion, one hundred four billion, twenty-four million, forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1481 1524 1778 2667 2962 3048 3556 4443 5334 5924 7112 8886 10367 10668 11848 17772 20734 21336 31101 34939 35544 41468 62202 69878 82936 104817 124404 139756 188087 209634 244573 248808 279512 376174 419268 489146 564261 733719 752348 838536 978292 1128522 1316609 1467438 1504696 1956584 2257044 2633218 2934876 3949827 4437253 4514088 5266436 5869752 7899654 8874506 10532872 13311759 15799308 17749012 26623518 31060771 31598616 35498024 51744659 53247036 62121542 93182313 103489318 106494072 124243084 155233977 186364626 206978636 248486168 310467954 362212613 372729252 413957272 620935908 724425226 745458504 1086637839 1241871816 1448850452 2173275678 2897700904 4346551356 6571571693 8693102712 13143143386 19714715079 26286286772 39429430158 46001001851 52572573544 78858860316 92002003702 138003005553 157717720632 184004007404 276006011106 368008014808 552012022212 1104024044424