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204023311440 = 2435134710713003
BaseRepresentation
bin1011111000000010111…
…1001010110001010000
3201111121201212002020020
42332000233022301100
511320314431431230
6233421011343440
720511613350654
oct2760057126120
9644551762206
10204023311440
1179586927683
123365abb1b80
1316315a13330
149c36582a64
1554917a1810
hex2f80bcac50

204023311440 has 320 divisors, whose sum is σ = 702171058176. Its totient is φ = 48689473536.

The previous prime is 204023311423. The next prime is 204023311483. The reversal of 204023311440 is 44113320402.

204023311440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2040233114402 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 204023311440.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15683979 + ... + 15696981.

Almost surely, 2204023311440 is an apocalyptic number.

204023311440 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 204023311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351085529088).

204023311440 is an abundant number, since it is smaller than the sum of its proper divisors (498147746736).

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

204023311440 is a wasteful number, since it uses less digits than its factorization.

204023311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13180 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 204023311440 its reverse (44113320402), we get a palindrome (248136631842).

The spelling of 204023311440 in words is "two hundred four billion, twenty-three million, three hundred eleven thousand, four hundred forty".