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22121023241440 = 2552039538112601
BaseRepresentation
bin1010000011110011100111…
…01110110111110011100000
32220022202020010220000111101
411001321303232313303200
510344412323422211230
6115014131403124144
74442122402062364
oct501716356676340
986282203800441
1022121023241440
117059522a20422
122593251b13654
13c46007a19276
1456693dcd12a4
15285642a8baca
hex141e73bb7ce0

22121023241440 has 96 divisors (see below), whose sum is σ = 52300415119680. Its totient is φ = 8841724416000.

The previous prime is 22121023241381. The next prime is 22121023241459. The reversal of 22121023241440 is 4414232012122.

It is a junction number, because it is equal to n+sod(n) for n = 22121023241399 and 22121023241408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755491140 + ... + 1755503740.

It is an arithmetic number, because the mean of its divisors is an integer number (544795990830).

Almost surely, 222121023241440 is an apocalyptic number.

22121023241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121023241440 is an abundant number, since it is smaller than the sum of its proper divisors (30179391878240).

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

22121023241440 is a wasteful number, since it uses less digits than its factorization.

22121023241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20036 (or 20028 counting only the distinct ones).

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

Adding to 22121023241440 its reverse (4414232012122), we get a palindrome (26535255253562).

The spelling of 22121023241440 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-three million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2039 4078 5381 8156 10195 10762 12601 16312 20390 21524 25202 26905 32624 40780 43048 50404 53810 63005 65248 81560 86096 100808 107620 126010 163120 172192 201616 215240 252020 326240 403232 430480 504040 860960 1008080 2016160 10971859 21943718 25693439 43887436 51386878 54859295 67805981 87774872 102773756 109718590 128467195 135611962 175549744 205547512 219437180 256934390 271223924 339029905 351099488 411095024 438874360 513868780 542447848 678059810 822190048 877748720 1027737560 1084895696 1356119620 1755497440 2055475120 2169791392 2712239240 4110950240 5424478480 10848956960 138256395259 276512790518 553025581036 691281976295 1106051162072 1382563952590 2212102324144 2765127905180 4424204648288 5530255810360 11060511620720 22121023241440