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20444145132024 = 2332172982513703
BaseRepresentation
bin1001010011000000001100…
…00000100010000111111000
32200101102220121212221022100
410221200012000202013320
510134424102123211044
6111251524405423400
74210016655243465
oct451400600420770
980342817787270
1020444145132024
116572349a49519
122362266a0ab60
13b53b4a6ac273
1450970532066c
15256bec108869
hex1298060221f8

20444145132024 has 72 divisors (see below), whose sum is σ = 58818182889960. Its totient is φ = 6413849446656.

The previous prime is 20444145131989. The next prime is 20444145132149. The reversal of 20444145132024 is 42023154144402.

20444145132024 is a `hidden beast` number, since 2 + 0 + 4 + 441 + 4 + 5 + 1 + 3 + 202 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20444145132024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 491236044 + ... + 491277659.

It is an arithmetic number, because the mean of its divisors is an integer number (816919206805).

Almost surely, 220444145132024 is an apocalyptic number.

20444145132024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20444145132024 is an abundant number, since it is smaller than the sum of its proper divisors (38374037757936).

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

20444145132024 is a wasteful number, since it uses less digits than its factorization.

20444145132024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982513749 (or 982513725 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 20444145132024 its reverse (42023154144402), we get a palindrome (62467299276426).

The spelling of 20444145132024 in words is "twenty trillion, four hundred forty-four billion, one hundred forty-five million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 982513703 1965027406 2947541109 3930054812 5895082218 7860109624 8842623327 11790164436 16702732951 17685246654 23580328872 33405465902 35370493308 50108198853 66810931804 70740986616 100216397706 133621863608 150324596559 200432795412 283946460167 300649193118 400865590824 567892920334 601298386236 851839380501 1135785840668 1202596772472 1703678761002 2271571681336 2555518141503 3407357522004 5111036283006 6814715044008 10222072566012 20444145132024