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103069285440 = 26351123479029
BaseRepresentation
bin101111111111101101…
…0000111110001000000
3100212001002001012100020
41133333122013301000
53142041214113230
6115203244253440
710306103320362
oct1377732076100
9325032035306
10103069285440
113a790a19740
1217b85841280
139947672484
144dba940d32
152a33917810
hex17ff687c40

103069285440 has 448 divisors, whose sum is σ = 380484034560. Its totient is φ = 23389020160.

The previous prime is 103069285409. The next prime is 103069285453. The reversal of 103069285440 is 44582960301.

It is a super-2 number, since 2×1030692854402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103069285392 and 103069285401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11410846 + ... + 11419874.

It is an arithmetic number, because the mean of its divisors is an integer number (849294720).

Almost surely, 2103069285440 is an apocalyptic number.

103069285440 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 103069285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190242017280).

103069285440 is an abundant number, since it is smaller than the sum of its proper divisors (277414749120).

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

103069285440 is a wasteful number, since it uses less digits than its factorization.

103069285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 103069285440 in words is "one hundred three billion, sixty-nine million, two hundred eighty-five thousand, four hundred forty".