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110420214444 = 223417118716889
BaseRepresentation
bin110011011010110001…
…1101100001010101100
3101120000101010002020000
41212311203230022230
53302120033330234
6122420520224300
710656213223311
oct1466543541254
9346011102200
10110420214444
1142913372481
121949760b090
13a5495983c7
1454b6d2ad08
152d13e50899
hex19b58ec2ac

110420214444 has 120 divisors (see below), whose sum is σ = 305915868720. Its totient is φ = 34610402304.

The previous prime is 110420214433. The next prime is 110420214467. The reversal of 110420214444 is 444412024011.

It is a happy number.

110420214444 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 2 + 0 + 214 + 444 = 666.

It is a super-3 number, since 3×1104202144443 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6529552 + ... + 6546440.

It is an arithmetic number, because the mean of its divisors is an integer number (2549298906).

Almost surely, 2110420214444 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 110420214444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152957934360).

110420214444 is an abundant number, since it is smaller than the sum of its proper divisors (195495654276).

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

110420214444 is a wasteful number, since it uses less digits than its factorization.

110420214444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18098 counting only the distinct ones).

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

Adding to 110420214444 its reverse (444412024011), we get a palindrome (554832238455).

The spelling of 110420214444 in words is "one hundred ten billion, four hundred twenty million, two hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1187 1377 1836 2374 2754 3561 4748 5508 7122 10683 14244 16889 20179 21366 32049 33778 40358 42732 50667 60537 64098 67556 80716 96147 101334 121074 128196 152001 181611 192294 202668 242148 287113 304002 363222 384588 456003 544833 574226 608004 726444 861339 912006 1089666 1148452 1368009 1634499 1722678 1824012 2179332 2584017 2736018 3268998 3445356 5168034 5472036 6537996 7752051 10336068 15504102 20047243 23256153 31008204 40094486 46512306 60141729 80188972 93024612 120283458 180425187 240566916 340803131 360850374 541275561 681606262 721700748 1022409393 1082551122 1363212524 1623826683 2044818786 2165102244 3067228179 3247653366 4089637572 6134456358 6495306732 9201684537 12268912716 18403369074 27605053611 36806738148 55210107222 110420214444