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42544201140 = 22325733765239
BaseRepresentation
bin100111100111110101…
…001111110110110100
311001210222102100100100
4213213311033312310
51144112303414030
631313341514100
73034166512560
oct474765176664
9131728370310
1042544201140
1117052102011
1282b3b72930
1340201b981c
1420b84466a0
151190044360
hex9e7d4fdb4

42544201140 has 72 divisors (see below), whose sum is σ = 147486568320. Its totient is φ = 9724388544.

The previous prime is 42544201123. The next prime is 42544201153. The reversal of 42544201140 is 4110244524.

42544201140 is a `hidden beast` number, since 4 + 2 + 544 + 2 + 0 + 114 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16881360 + ... + 16883879.

It is an arithmetic number, because the mean of its divisors is an integer number (2048424560).

Almost surely, 242544201140 is an apocalyptic number.

It is an amenable number.

42544201140 is an abundant number, since it is smaller than the sum of its proper divisors (104942367180).

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

42544201140 is a wasteful number, since it uses less digits than its factorization.

42544201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33765261 (or 33765256 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 42544201140 its reverse (4110244524), we get a palindrome (46654445664).

The spelling of 42544201140 in words is "forty-two billion, five hundred forty-four million, two hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 33765239 67530478 101295717 135060956 168826195 202591434 236356673 303887151 337652390 405182868 472713346 506478585 607774302 675304780 709070019 945426692 1012957170 1181783365 1215548604 1418140038 1519435755 2025914340 2127210057 2363566730 2836280076 3038871510 3545350095 4254420114 4727133460 6077743020 7090700190 8508840228 10636050285 14181400380 21272100570 42544201140