Search a number
-
+
22142125554504 = 23318144329273931
BaseRepresentation
bin1010000100011010111011…
…00001110011101101001000
32220101202200210121120222220
411002031131201303231020
510400234033120221004
6115031541351014040
74443500340555114
oct502153541635510
986352623546886
1022142125554504
1170674716a457a
12259736106a320
13c47cbb8a4647
14567982758744
15285e7a498dd9
hex14235d873b48

22142125554504 has 128 divisors (see below), whose sum is σ = 55820045998080. Its totient is φ = 7318998086400.

The previous prime is 22142125554469. The next prime is 22142125554547. The reversal of 22142125554504 is 40545552124122.

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, 5632693419 + ... + 5632697349.

It is an arithmetic number, because the mean of its divisors is an integer number (436094109360).

Almost surely, 222142125554504 is an apocalyptic number.

22142125554504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22142125554504 is an abundant number, since it is smaller than the sum of its proper divisors (33677920443576).

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

22142125554504 is a wasteful number, since it uses less digits than its factorization.

22142125554504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 42.

Adding to 22142125554504 its reverse (40545552124122), we get a palindrome (62687677678626).

The spelling of 22142125554504 in words is "twenty-two trillion, one hundred forty-two billion, one hundred twenty-five million, five hundred fifty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 181 362 443 543 724 886 1086 1329 1448 1772 2172 2658 2927 3544 3931 4344 5316 5854 7862 8781 10632 11708 11793 15724 17562 23416 23586 31448 35124 47172 70248 80183 94344 160366 240549 320732 481098 529787 641464 711511 962196 1059574 1296661 1423022 1589361 1741433 1924392 2119148 2134533 2593322 2846044 3178722 3482866 3889983 4238296 4269066 5186644 5224299 5692088 6357444 6965732 7779966 8538132 10373288 10448598 11506037 12714888 13931464 15559932 17076264 20897196 23012074 31119864 34518111 41794392 46024148 69036222 92048296 138072444 234695641 276144888 315199373 469391282 630398746 704086923 938782564 945598119 1260797492 1408173846 1877565128 1891196238 2082592697 2521594984 2816347692 3782392476 4165185394 5097174391 5632695384 6247778091 7564784952 8330370788 10194348782 12495556182 15291523173 16660741576 20388697564 24991112364 30583046346 40777395128 49982224728 61166092692 122332185384 922588564771 1845177129542 2767765694313 3690354259084 5535531388626 7380708518168 11071062777252 22142125554504