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242110312444 = 2271113131461581
BaseRepresentation
bin1110000101111011100…
…1100010111111111100
3212010221002021012110001
43201132321202333330
512431320214444234
6303120212124044
723330501462140
oct3413671427774
9763832235401
10242110312444
1193750a61210
123ab0a306624
1319aa5660410
14ba0aa61220
15647035dd14
hex385ee62ffc

242110312444 has 96 divisors (see below), whose sum is σ = 573218376192. Its totient is φ = 86407776000.

The previous prime is 242110312417. The next prime is 242110312463. The reversal of 242110312444 is 444213011242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293734 + ... + 755314.

It is an arithmetic number, because the mean of its divisors is an integer number (5971024752).

Almost surely, 2242110312444 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 242110312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286609188096).

242110312444 is an abundant number, since it is smaller than the sum of its proper divisors (331108063748).

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

242110312444 is a wasteful number, since it uses less digits than its factorization.

242110312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461747 (or 461745 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 242110312444 its reverse (444213011242), we get a palindrome (686323323686).

The spelling of 242110312444 in words is "two hundred forty-two billion, one hundred ten million, three hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 131 143 154 182 262 286 308 364 524 572 917 1001 1441 1703 1834 2002 2882 3406 3668 4004 5764 6812 10087 11921 18733 20174 23842 37466 40348 47684 74932 131131 262262 461581 524524 923162 1846324 3231067 5077391 6000553 6462134 10154782 12001106 12924268 20309564 24002212 35541737 42003871 60467111 66006083 71083474 84007742 120934222 132012166 142166948 168015484 241868444 264024332 423269777 462042581 665138221 786072443 846539554 924085162 1330276442 1572144886 1693079108 1848170324 2660552884 3144289772 4655967547 5502507101 8646796873 9311935094 11005014202 17293593746 18623870188 22010028404 34587187492 60527578111 121055156222 242110312444