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110514031344 = 24333755712413
BaseRepresentation
bin110011011101100100…
…1100100101011110000
3101120020220122110211000
41212323021210223300
53302313043000334
6122434111122000
710661432524053
oct1467311445360
9346226573730
10110514031344
1142961320502
1219502b13300
13a562b55772
1454c558ca9a
152d1c2d3299
hex19bb264af0

110514031344 has 160 divisors (see below), whose sum is σ = 326400805440. Its totient is φ = 35775157248.

The previous prime is 110514031337. The next prime is 110514031349. The reversal of 110514031344 is 443130415011.

110514031344 is a `hidden beast` number, since 1 + 10 + 514 + 0 + 3 + 134 + 4 = 666.

110514031344 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1105140313442 (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 not an unprimeable number, because it can be changed into a prime (110514031349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8896882 + ... + 8909294.

It is an arithmetic number, because the mean of its divisors is an integer number (2040005034).

Almost surely, 2110514031344 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 110514031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163200402720).

110514031344 is an abundant number, since it is smaller than the sum of its proper divisors (215886774096).

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

110514031344 is a wasteful number, since it uses less digits than its factorization.

110514031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 110514031344 its reverse (443130415011), we get a palindrome (553644446355).

The spelling of 110514031344 in words is "one hundred ten billion, five hundred fourteen million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 557 592 666 888 999 1114 1332 1671 1776 1998 2228 2664 3342 3996 4456 5013 5328 6684 7992 8912 10026 12413 13368 15039 15984 20052 20609 24826 26736 30078 37239 40104 41218 49652 60156 61827 74478 80208 82436 99304 111717 120312 123654 148956 164872 185481 198608 223434 240624 247308 297912 329744 335151 370962 446868 459281 494616 556443 595824 670302 741924 893736 918562 989232 1112886 1340604 1377843 1483848 1787472 1837124 2225772 2681208 2755686 2967696 3674248 4133529 4451544 5362416 5511372 6914041 7348496 8267058 8903088 11022744 12400587 13828082 16534116 20742123 22045488 24801174 27656164 33068232 41484246 49602348 55312328 62226369 66136464 82968492 99204696 110624656 124452738 165936984 186679107 198409392 248905476 255819517 331873968 373358214 497810952 511639034 746716428 767458551 995621904 1023278068 1493432856 1534917102 2046556136 2302375653 2986865712 3069834204 4093112272 4604751306 6139668408 6907126959 9209502612 12279336816 13814253918 18419005224 27628507836 36838010448 55257015672 110514031344