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1110404120004 = 22321743257916361
BaseRepresentation
bin10000001010001001001…
…111100011110111000100
310221011010222020211021200
4100022021033203313010
5121143101423320004
62210040153542500
7143136564200634
oct20121117436704
93834128224250
101110404120004
11398a131a5383
1215b254114a30
138093141a3ba
143ba5b1846c4
151dd3e088239
hex102893e3dc4

1110404120004 has 144 divisors (see below), whose sum is σ = 3042444525120. Its totient is φ = 340107909120.

The previous prime is 1110404119973. The next prime is 1110404120027. The reversal of 1110404120004 is 4000214040111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67860784 + ... + 67877144.

It is an arithmetic number, because the mean of its divisors is an integer number (21128086980).

Almost surely, 21110404120004 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 1110404120004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521222262560).

1110404120004 is an abundant number, since it is smaller than the sum of its proper divisors (1932040405116).

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

1110404120004 is a wasteful number, since it uses less digits than its factorization.

1110404120004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19010 (or 19005 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1110404120004 its reverse (4000214040111), we get a palindrome (5110618160115).

The spelling of 1110404120004 in words is "one trillion, one hundred ten billion, four hundred four million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1462 1548 2193 2579 2924 4386 5158 6579 7737 8772 10316 13158 15474 16361 23211 26316 30948 32722 43843 46422 49083 65444 87686 92844 98166 110897 131529 147249 175372 196332 221794 263058 278137 294498 332691 394587 443588 526116 556274 588996 665382 703523 789174 834411 998073 1112548 1330764 1407046 1578348 1668822 1885249 1996146 2110569 2503233 2814092 3337644 3770498 3992292 4221138 5006466 5655747 6331707 7540996 8442276 10012932 11311494 11959891 12663414 16967241 22622988 23919782 25326828 33934482 35879673 42195019 47839564 67868964 71759346 84390038 107639019 126585057 143518692 168780076 215278038 253170114 379755171 430556076 506340228 717315323 759510342 1434630646 1519020684 1814385817 2151945969 2869261292 3628771634 4303891938 5443157451 6455837907 7257543268 8607783876 10886314902 12911675814 16329472353 21772629804 25823351628 30844558889 32658944706 61689117778 65317889412 92533676667 123378235556 185067353334 277601030001 370134706668 555202060002 1110404120004