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144246211100 = 225225133717053
BaseRepresentation
bin1000011001010110111…
…1101000001000011100
3111210022202200202022222
42012111233220020130
54330404012223400
6150133224524512
713264361364335
oct2062557501034
9453282622288
10144246211100
11561a1253412
1223b57920738
13107aa4ca644
146da555328c
153b438cd185
hex2195be821c

144246211100 has 72 divisors (see below), whose sum is σ = 315212356368. Its totient is φ = 57294720000.

The previous prime is 144246211099. The next prime is 144246211121. The reversal of 144246211100 is 1112642441.

It is a self number, because there is not a number n which added to its sum of digits gives 144246211100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8450174 + ... + 8467226.

It is an arithmetic number, because the mean of its divisors is an integer number (4377949394).

Almost surely, 2144246211100 is an apocalyptic number.

144246211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144246211100 is an abundant number, since it is smaller than the sum of its proper divisors (170966145268).

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

144246211100 is a wasteful number, since it uses less digits than its factorization.

144246211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17655 (or 17648 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 144246211100 its reverse (1112642441), we get a palindrome (145358853541).

The spelling of 144246211100 in words is "one hundred forty-four billion, two hundred forty-six million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 251 337 502 674 1004 1255 1348 1685 2510 3370 5020 6275 6740 8425 12550 16850 17053 25100 33700 34106 68212 84587 85265 169174 170530 338348 341060 422935 426325 845870 852650 1691740 1705300 2114675 4229350 4280303 5746861 8458700 8560606 11493722 17121212 21401515 22987444 28734305 42803030 57468610 85606060 107007575 114937220 143671525 214015150 287343050 428030300 574686100 1442462111 2884924222 5769848444 7212310555 14424621110 28849242220 36061552775 72123105550 144246211100