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22044441042 = 232131714393851
BaseRepresentation
bin10100100001111100…
…110111100111010010
32002220022111122010100
4110201330313213102
5330121334103132
614043240513230
71410165441261
oct244174674722
962808448110
1022044441042
11939256a918
12433277b816
132104112070
1410d1a2c5d8
158904ab37c
hex521f379d2

22044441042 has 96 divisors (see below), whose sum is σ = 54514736640. Its totient is φ = 6377817600.

The previous prime is 22044440993. The next prime is 22044441043. The reversal of 22044441042 is 24014444022.

22044441042 is a `hidden beast` number, since 2 + 204 + 4 + 4 + 410 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22044440997 and 22044441015.

It is not an unprimeable number, because it can be changed into a prime (22044441043) 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 47 ways as a sum of consecutive naturals, for example, 5722417 + ... + 5726267.

It is an arithmetic number, because the mean of its divisors is an integer number (567861840).

Almost surely, 222044441042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22044441042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27257368320).

22044441042 is an abundant number, since it is smaller than the sum of its proper divisors (32470295598).

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

22044441042 is a wasteful number, since it uses less digits than its factorization.

22044441042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 22044441042 its reverse (24014444022), we get a palindrome (46058885064).

The spelling of 22044441042 in words is "twenty-two billion, forty-four million, four hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1439 1989 2878 3851 3978 4317 7702 8634 11553 12951 18707 23106 24463 25902 34659 37414 48926 50063 56121 65467 69318 73389 100126 112242 130934 146778 150189 168363 196401 220167 300378 318019 336726 392802 440334 450567 589203 636038 851071 901134 954057 1178406 1702142 1908114 2553213 2862171 5106426 5541589 5724342 7659639 11083178 15319278 16624767 33249534 49874301 72040657 94207013 99748602 144081314 188414026 216121971 282621039 432243942 565242078 648365913 847863117 1224691169 1296731826 1695726234 2449382338 3674073507 7348147014 11022220521 22044441042