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16303019040 = 2534571117312
BaseRepresentation
bin11110010111011110…
…00101010000100000
31120002012000011210000
433023233011100200
5231342033102130
611253422140000
71115001242520
oct171357052040
946065004700
1016303019040
116a066a1560
1231aba21600
1316ca7a0239
14b092cd680
156563ee260
hex3cbbc5420

16303019040 has 1440 divisors, whose sum is σ = 78482017152. Its totient is φ = 3085516800.

The previous prime is 16303018997. The next prime is 16303019153. The reversal of 16303019040 is 4091030361.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16303018995 and 16303019013.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 525903825 + ... + 525903855.

Almost surely, 216303019040 is an apocalyptic number.

16303019040 is a gapful number since it is divisible by the number (10) 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 16303019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39241008576).

16303019040 is an abundant number, since it is smaller than the sum of its proper divisors (62178998112).

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

16303019040 is a wasteful number, since it uses less digits than its factorization.

16303019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 16303019040 in words is "sixteen billion, three hundred three million, nineteen thousand, forty".