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442221545122245 = 325741328871041169
BaseRepresentation
bin110010010001100101011101…
…0000110111110100111000101
32010222202222002211021021102100
41210203022322012332213011
5430430324211022402440
64204305435005102313
7162101311064663550
oct14443127206764705
92128688084237370
10442221545122245
111189a61165909a9
12417215b8857999
1315c9a40b203a95
147b2b8cbc67697
15361d2e59c7230
hex19232ba1be9c5

442221545122245 has 96 divisors (see below), whose sum is σ = 897414308743680. Its totient is φ = 197221540884480.

The previous prime is 442221545122219. The next prime is 442221545122283. The reversal of 442221545122245 is 542221545122244.

442221545122245 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 21 + 54 + 512 + 22 + 45 = 666.

It is not a de Polignac number, because 442221545122245 - 225 = 442221511567813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 442221545122245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424215021 + ... + 425256189.

It is an arithmetic number, because the mean of its divisors is an integer number (9348065716080).

Almost surely, 2442221545122245 is an apocalyptic number.

442221545122245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442221545122245 is an abundant number, since it is smaller than the sum of its proper divisors (455192763621435).

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

442221545122245 is a wasteful number, since it uses less digits than its factorization.

442221545122245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074115 (or 1074112 counting only the distinct ones).

The product of its digits is 2048000, while the sum is 45.

Subtracting 442221545122245 from its reverse (542221545122244), we obtain a palindrome (99999999999999).

The spelling of 442221545122245 in words is "four hundred forty-two trillion, two hundred twenty-one billion, five hundred forty-five million, one hundred twenty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2583 4305 12915 32887 98661 164435 230209 295983 493305 690627 1041169 1151045 1348367 1479915 2071881 3123507 3453135 4045101 5205845 6741835 7288183 9370521 9438569 10359405 12135303 15617535 20225505 21864549 28315707 36440915 42687929 46852605 47192845 60676515 65593647 84947121 109322745 128063787 141578535 213439645 298815503 327968235 384191361 424735605 640318935 896446509 1494077515 1920956805 2689339527 4482232545 13446697635 34240924903 102722774709 171204624515 239686474321 308168324127 513613873545 719059422963 1198432371605 1403877921023 1540841620635 2157178268889 3595297114815 4211633763069 7019389605115 9827145447161 10785891344445 12634901289207 21058168815345 29481436341483 49135727235805 63174506446035 88444309024449 147407181707415 442221545122245