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114089399040 = 2835177389269
BaseRepresentation
bin110101001000001000…
…0100001001100000000
3101220111002022222020210
41222100100201030000
53332123341232130
6124224551434120
711146145614431
oct1522020411400
9356432288223
10114089399040
1144426545141
121a140385940
13a9b27bcb56
145744369488
152e7b12b5b0
hex1a90421300

114089399040 has 576 divisors, whose sum is σ = 396956246400. Its totient is φ = 27820818432.

The previous prime is 114089398961. The next prime is 114089399041. The reversal of 114089399040 is 40993980411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (114089399041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424124026 + ... + 424124294.

It is an arithmetic number, because the mean of its divisors is an integer number (689160150).

Almost surely, 2114089399040 is an apocalyptic number.

114089399040 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 114089399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198478123200).

114089399040 is an abundant number, since it is smaller than the sum of its proper divisors (282866847360).

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

114089399040 is a wasteful number, since it uses less digits than its factorization.

114089399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 114089399040 in words is "one hundred fourteen billion, eighty-nine million, three hundred ninety-nine thousand, forty".