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204414323440 = 24523478323227
BaseRepresentation
bin1011111001100000001…
…0110000101011110000
3201112121222121112212011
42332120002300223300
511322120031322230
6233523500212304
720524402036435
oct2763002605360
9645558545764
10204414323440
1179767613798
1233749b3a094
1316378a28892
149c72487b8c
1554b5c8be2a
hex2f980b0af0

204414323440 has 80 divisors (see below), whose sum is σ = 496051964928. Its totient is φ = 78190979328.

The previous prime is 204414323437. The next prime is 204414323447. The reversal of 204414323440 is 44323414402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204414323447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8789107 + ... + 8812333.

Almost surely, 2204414323440 is an apocalyptic number.

204414323440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204414323440 is an abundant number, since it is smaller than the sum of its proper divisors (291637641488).

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

204414323440 is a wasteful number, since it uses less digits than its factorization.

204414323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28046 (or 28040 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 204414323440 its reverse (44323414402), we get a palindrome (248737737842).

The spelling of 204414323440 in words is "two hundred four billion, four hundred fourteen million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 4783 9566 19132 23227 23915 38264 46454 47830 76528 92908 95660 110009 116135 185816 191320 220018 232270 371632 382640 440036 464540 534221 550045 880072 929080 1068442 1100090 1760144 1858160 2136884 2200180 2671105 4273768 4400360 5342210 8547536 8800720 10684420 21368840 42737680 111094741 222189482 444378964 555473705 888757928 1110947410 1777515856 2221894820 2555179043 4443789640 5110358086 8887579280 10220716172 12775895215 20441432344 25551790430 40882864688 51103580860 102207161720 204414323440