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110414204244 = 22343148722573
BaseRepresentation
bin110011011010100110…
…0110000110101010100
3101112222221210201210000
41212311030300311110
53302112014013434
6122420143331300
710656111152001
oct1466514606524
9345887721700
10110414204244
114290aa37973
12194955b0b30
13a548272886
1454b62048a8
152d13664b99
hex19b5330d54

110414204244 has 120 divisors (see below), whose sum is σ = 298580699648. Its totient is φ = 35542774080.

The previous prime is 110414204239. The next prime is 110414204261. The reversal of 110414204244 is 442402414011.

It is a happy number.

110414204244 is a `hidden beast` number, since 1 + 1 + 0 + 414 + 2 + 0 + 4 + 244 = 666.

It is a super-2 number, since 2×1104142042442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4880142 + ... + 4902714.

Almost surely, 2110414204244 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 110414204244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149290349824).

110414204244 is an abundant number, since it is smaller than the sum of its proper divisors (188166495404).

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

110414204244 is a wasteful number, since it uses less digits than its factorization.

110414204244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23107 (or 23096 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 110414204244 its reverse (442402414011), we get a palindrome (552816618255).

The spelling of 110414204244 in words is "one hundred ten billion, four hundred fourteen million, two hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 487 558 837 974 1116 1461 1674 1948 2511 2922 3348 4383 5022 5844 8766 10044 13149 15097 17532 22573 26298 30194 39447 45146 45291 52596 60388 67719 78894 90292 90582 135438 135873 157788 181164 203157 270876 271746 406314 407619 543492 609471 699763 812628 815238 1218942 1222857 1399526 1630476 1828413 2099289 2437884 2445714 2799052 3656826 4198578 4891428 6297867 7313652 8397156 10993051 12595734 18893601 21986102 25191468 32979153 37787202 43972204 56680803 65958306 75574404 98937459 113361606 131916612 197874918 226723212 296812377 340784581 395749836 593624754 681569162 890437131 1022353743 1187249508 1363138324 1780874262 2044707486 3067061229 3561748524 4089414972 6134122458 9201183687 12268244916 18402367374 27603551061 36804734748 55207102122 110414204244