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9943140240 = 24325113733931
BaseRepresentation
bin10010100001010100…
…00100011110010000
3221122221202212012100
421100222010132100
5130330420441430
64322352000400
7501254204025
oct112052043620
927587685170
109943140240
114242709480
121b15b30100
13c25c9c947
146a47a154c
153d2dca960
hex250a84790

9943140240 has 240 divisors, whose sum is σ = 37413694656. Its totient is φ = 2345241600.

The previous prime is 9943140197. The next prime is 9943140269. The reversal of 9943140240 is 420413499.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9943140195 and 9943140204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276075 + ... + 310005.

Almost surely, 29943140240 is an apocalyptic number.

9943140240 is a gapful number since it is divisible by the number (90) 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 9943140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18706847328).

9943140240 is an abundant number, since it is smaller than the sum of its proper divisors (27470554416).

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

9943140240 is a wasteful number, since it uses less digits than its factorization.

9943140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33998 (or 33989 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9943140240 is about 99715.2959179283. The cubic root of 9943140240 is about 2150.3435715588.

The spelling of 9943140240 in words is "nine billion, nine hundred forty-three million, one hundred forty thousand, two hundred forty".