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22044124044144 = 2433199725552361
BaseRepresentation
bin1010000001100100011000…
…01011101101101101110000
32220001101201220111001011000
411000302030023231231300
510342132331223403034
6114514533014322000
74433430641511036
oct500621413555560
986041656431130
1022044124044144
117029951374304
122580370659300
13c3b9a1130967
14562d26cbc556
15283641924599
hex140c8c2edb70

22044124044144 has 80 divisors (see below), whose sum is σ = 63306487902240. Its totient is φ = 7344361520640.

The previous prime is 22044124044109. The next prime is 22044124044179. The reversal of 22044124044144 is 44144042144022.

22044124044144 is a `hidden beast` number, since 2 + 20 + 4 + 412 + 40 + 44 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (22044124044109) and next prime (22044124044179).

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 = 22044124044099 and 22044124044108.

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, 11913477 + ... + 13638884.

It is an arithmetic number, because the mean of its divisors is an integer number (791331098778).

Almost surely, 222044124044144 is an apocalyptic number.

22044124044144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22044124044144 is an abundant number, since it is smaller than the sum of its proper divisors (41262363858096).

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

22044124044144 is a wasteful number, since it uses less digits than its factorization.

22044124044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25554375 (or 25554363 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 22044124044144 its reverse (44144042144022), we get a palindrome (66188166188166).

The spelling of 22044124044144 in words is "twenty-two trillion, forty-four billion, one hundred twenty-four million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1997 3994 5991 7988 11982 15976 17973 23964 31952 35946 47928 53919 71892 95856 107838 143784 215676 287568 431352 862704 25552361 51104722 76657083 102209444 153314166 204418888 229971249 306628332 408837776 459942498 613256664 689913747 919884996 1226513328 1379827494 1839769992 2759654988 3679539984 5519309976 11038619952 51028064917 102056129834 153084194751 204112259668 306168389502 408224519336 459252584253 612336779004 816449038672 918505168506 1224673558008 1377757752759 1837010337012 2449347116016 2755515505518 3674020674024 5511031011036 7348041348048 11022062022072 22044124044144