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102444344445200 = 24522311135254831
BaseRepresentation
bin10111010010110000101110…
…110000101000100100010000
3111102201120202111121222011212
4113102300232300220210100
5101411422004134221300
61001514140535155252
730402234233126162
oct2722605660504420
9442646674558155
10102444344445200
112a7074477a237a
12b5a6497815b28
1345215ca17c324
141b42493008932
15bc9c2c290935
hex5d2c2ec28910

102444344445200 has 60 divisors (see below), whose sum is σ = 256823517445248. Its totient is φ = 39196097001600.

The previous prime is 102444344445173. The next prime is 102444344445203. The reversal of 102444344445200 is 2544443444201.

It is not an unprimeable number, because it can be changed into a prime (102444344445203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5567618216 + ... + 5567636615.

Almost surely, 2102444344445200 is an apocalyptic number.

102444344445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102444344445200 is an abundant number, since it is smaller than the sum of its proper divisors (154379173000048).

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

102444344445200 is a wasteful number, since it uses less digits than its factorization.

102444344445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135254872 (or 11135254861 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 41.

Adding to 102444344445200 its reverse (2544443444201), we get a palindrome (104988787889401).

The spelling of 102444344445200 in words is "one hundred two trillion, four hundred forty-four billion, three hundred forty-four million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 11135254831 22270509662 44541019324 55676274155 89082038648 111352548310 178164077296 222705096620 256110861113 278381370775 445410193240 512221722226 556762741550 890820386480 1024443444452 1113525483100 1280554305565 2048886888904 2227050966200 2561108611130 4097773777808 4454101932400 5122217222260 6402771527825 10244434444520 12805543055650 20488868889040 25611086111300 51222172222600 102444344445200