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110440504044 = 223213673599811
BaseRepresentation
bin110011011011011000…
…1000101101011101100
3101120001210021220022200
41212312301011223230
53302140232112134
6122422523141500
710656550536543
oct1466661055354
9346053256280
10110440504044
1142923870342
12194a2374890
13a5508505a0
1454b98cd15a
152d15b0c499
hex19b6c45aec

110440504044 has 144 divisors (see below), whose sum is σ = 306011946240. Its totient is φ = 33377857920.

The previous prime is 110440504003. The next prime is 110440504051. The reversal of 110440504044 is 440405044011.

110440504044 is a `hidden beast` number, since 110 + 4 + 4 + 0 + 504 + 0 + 44 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 110440503999 and 110440504017.

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, 11251899 + ... + 11261709.

It is an arithmetic number, because the mean of its divisors is an integer number (2125082960).

Almost surely, 2110440504044 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 110440504044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153005973120).

110440504044 is an abundant number, since it is smaller than the sum of its proper divisors (195571442196).

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

110440504044 is a wasteful number, since it uses less digits than its factorization.

110440504044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 110440504044 its reverse (440405044011), we get a palindrome (550845548055).

The spelling of 110440504044 in words is "one hundred ten billion, four hundred forty million, five hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 359 402 468 603 718 804 871 1077 1206 1436 1742 2154 2412 2613 3231 3484 4308 4667 5226 6462 7839 9334 9811 10452 12924 14001 15678 18668 19622 24053 28002 29433 31356 39244 42003 48106 56004 58866 72159 84006 88299 96212 117732 127543 144318 168012 176598 216477 255086 288636 312689 353196 382629 432954 510172 625378 657337 765258 865908 938067 1147887 1250756 1314674 1530516 1876134 1972011 2295774 2629348 2814201 3522149 3752268 3944022 4591548 5628402 5916033 7044298 7888044 8545381 10566447 11256804 11832066 14088596 17090762 21132894 23664132 25636143 31699341 34181524 42265788 45787937 51272286 63398682 76908429 91575874 102544572 126797364 137363811 153816858 183151748 235983983 274727622 307633716 412091433 471967966 549455244 707951949 824182866 943935932 1415903898 1648365732 2123855847 2831807796 3067791779 4247711694 6135583558 8495423388 9203375337 12271167116 18406750674 27610126011 36813501348 55220252022 110440504044