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204140212000 = 255382362011
BaseRepresentation
bin1011111000011110110…
…1000110111100100000
3201111220212211020122121
42332013231012330200
511321034343241000
6233440345114024
720514533112634
oct2760755067440
9644825736577
10204140212000
117963691180a
1233692188914
1316333cc356a
149c47cd2dc4
15549bb93b1a
hex2f87b46f20

204140212000 has 96 divisors (see below), whose sum is σ = 502190043264. Its totient is φ = 81555552000.

The previous prime is 204140211973. The next prime is 204140212009. The reversal of 204140212000 is 212041402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (204140212009) 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, 3260995 + ... + 3323005.

It is an arithmetic number, because the mean of its divisors is an integer number (5231146284).

Almost surely, 2204140212000 is an apocalyptic number.

204140212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204140212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251095021632).

204140212000 is an abundant number, since it is smaller than the sum of its proper divisors (298049831264).

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

204140212000 is an equidigital number, since it uses as much as digits as its factorization.

204140212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62859 (or 62841 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 204140212000 its reverse (212041402), we get a palindrome (204352253402).

The spelling of 204140212000 in words is "two hundred four billion, one hundred forty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 823 1000 1646 2000 3292 4000 4115 6584 8230 13168 16460 20575 26336 32920 41150 62011 65840 82300 102875 124022 131680 164600 205750 248044 310055 329200 411500 496088 620110 658400 823000 992176 1240220 1550275 1646000 1984352 2480440 3100550 3292000 4960880 6201100 7751375 9921760 12402200 15502750 24804400 31005500 49608800 51035053 62011000 102070106 124022000 204140212 248044000 255175265 408280424 510350530 816560848 1020701060 1275876325 1633121696 2041402120 2551752650 4082804240 5103505300 6379381625 8165608480 10207010600 12758763250 20414021200 25517526500 40828042400 51035053000 102070106000 204140212000