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42231240204000 = 253533519270017
BaseRepresentation
bin10011001101000101110100…
…00100100001111011100000
312112112021012202000100012120
421212202322010201323200
521013404034443012000
6225452433001224240
711616051333620541
oct1146427204417340
9175467182010176
1042231240204000
1112502194146771
1248a0844a92080
131a74509442bc3
14a6000808c4c8
154d37e8ac56a0
hex2668ba121ee0

42231240204000 has 96 divisors (see below), whose sum is σ = 138349542947616. Its totient is φ = 11261664051200.

The previous prime is 42231240203951. The next prime is 42231240204001. The reversal of 42231240204000 is 40204213224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42231240204001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1759623009 + ... + 1759647008.

It is an arithmetic number, because the mean of its divisors is an integer number (1441141072371).

Almost surely, 242231240204000 is an apocalyptic number.

42231240204000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42231240204000 is an abundant number, since it is smaller than the sum of its proper divisors (96118302743616).

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

42231240204000 is a wasteful number, since it uses less digits than its factorization.

42231240204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519270045 (or 3519270027 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42231240204000 its reverse (40204213224), we get a palindrome (42271444417224).

The spelling of 42231240204000 in words is "forty-two trillion, two hundred thirty-one billion, two hundred forty million, two hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 3519270017 7038540034 10557810051 14077080068 17596350085 21115620102 28154160136 35192700170 42231240204 52789050255 56308320272 70385400340 84462480408 87981750425 105578100510 112616640544 140770800680 168924960816 175963500850 211156201020 263945251275 281541601360 337849921632 351927001700 422312402040 439908752125 527890502550 563083202720 703854003400 844624804080 879817504250 1055781005100 1319726256375 1407708006800 1689249608160 1759635008500 2111562010200 2639452512750 2815416013600 3519270017000 4223124020400 5278905025500 7038540034000 8446248040800 10557810051000 14077080068000 21115620102000 42231240204000