Search a number
-
+
1422242304444 = 22321367318232477
BaseRepresentation
bin10100101100100100001…
…111110101000110111100
312000222001111210221011100
4110230210033311012330
5141300223012220234
63005211420253100
7204516330056463
oct24544417650674
95028044727140
101422242304444
114a9195780885
121ab7820a1190
13a4169a05870
144cba06219da
1526ee0ba2399
hex14b243f51bc

1422242304444 has 144 divisors (see below), whose sum is σ = 3881105609472. Its totient is φ = 436546768896.

The previous prime is 1422242304443. The next prime is 1422242304449. The reversal of 1422242304444 is 4444032422241.

1422242304444 is a `hidden beast` number, since 1 + 4 + 222 + 423 + 0 + 4 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1422242304399 and 1422242304408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422242304443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574178134 + ... + 574180610.

It is an arithmetic number, because the mean of its divisors is an integer number (26952122288).

Almost surely, 21422242304444 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 1422242304444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940552804736).

1422242304444 is an abundant number, since it is smaller than the sum of its proper divisors (2458863305028).

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

1422242304444 is a wasteful number, since it uses less digits than its factorization.

1422242304444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 1422242304444 its reverse (4444032422241), we get a palindrome (5866274726685).

The spelling of 1422242304444 in words is "one trillion, four hundred twenty-two billion, two hundred forty-two million, three hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 673 1346 1823 2019 2477 2692 3646 4038 4954 5469 6057 7292 7431 8076 8749 9908 10938 12114 14862 16407 17498 21876 22293 23699 24228 26247 29724 32201 32814 34996 44586 47398 52494 64402 65628 71097 78741 89172 94796 96603 104988 128804 142194 157482 193206 213291 284388 289809 314964 386412 426582 579618 853164 1159236 1226879 1667021 2453758 3334042 3680637 4515571 4907516 5001063 6668084 7361274 9031142 10002126 11041911 13546713 14722548 15003189 15949427 18062284 20004252 21671273 22083822 27093426 30006378 31898854 40640139 43342546 44167644 47848281 54186852 58702423 60012756 63797708 65013819 81280278 86685092 95696562 117404846 130027638 143544843 162560556 176107269 191393124 195041457 234809692 260055276 287089686 352214538 390082914 528321807 574179372 704429076 780165828 1056643614 2113287228 3038979283 6077958566 9116937849 12155917132 18233875698 27350813547 36467751396 39506730679 54701627094 79013461358 109403254188 118520192037 158026922716 237040384074 355560576111 474080768148 711121152222 1422242304444