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42140324000 = 255323458047
BaseRepresentation
bin100111001111110000…
…100101000010100000
311000202211110021001202
4213033300211002200
51142300410332000
631205313220332
73021163562315
oct471760450240
9130684407052
1042140324000
1116965129155
1282008616a8
133c8761b578
14207a952d0c
151169866dd5
hex9cfc250a0

42140324000 has 96 divisors (see below), whose sum is σ = 108040697856. Its totient is φ = 16123219200.

The previous prime is 42140323997. The next prime is 42140324003. The reversal of 42140324000 is 42304124.

It is an interprime number because it is at equal distance from previous prime (42140323997) and next prime (42140324003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42140324003) 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, 137024 + ... + 321023.

It is an arithmetic number, because the mean of its divisors is an integer number (1125423936).

Almost surely, 242140324000 is an apocalyptic number.

42140324000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42140324000 is an abundant number, since it is smaller than the sum of its proper divisors (65900373856).

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

42140324000 is a wasteful number, since it uses less digits than its factorization.

42140324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458095 (or 458077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42140324000 its reverse (42304124), we get a palindrome (42182628124).

The spelling of 42140324000 in words is "forty-two billion, one hundred forty million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 458047 916094 1832188 2290235 3664376 4580470 7328752 9160940 10535081 11451175 14657504 18321880 21070162 22902350 36643760 42140324 45804700 52675405 57255875 73287520 84280648 91609400 105350810 114511750 168561296 183218800 210701620 229023500 263377025 337122592 366437600 421403240 458047000 526754050 842806480 916094000 1053508100 1316885125 1685612960 1832188000 2107016200 2633770250 4214032400 5267540500 8428064800 10535081000 21070162000 42140324000