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43102808640 = 263453115347
BaseRepresentation
bin101000001001001000…
…001010101001000000
311010020220112112210000
4220021020022221000
51201233304334030
631445014440000
73054061554063
oct501110125100
9133226475700
1043102808640
1117309459101
12842b063000
1340abb51ac8
14212c6d68da
1511c40d7860
hexa0920aa40

43102808640 has 280 divisors, whose sum is σ = 153846044352. Its totient is φ = 11454981120.

The previous prime is 43102808621. The next prime is 43102808641. The reversal of 43102808640 is 4680820134.

43102808640 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 2 + 8 + 0 + 8 + 640 = 666.

It is a super-2 number, since 2×431028086402 (a number of 22 digits) contains 22 as substring.

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 = 43102808595 and 43102808604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43102808641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8058447 + ... + 8063793.

Almost surely, 243102808640 is an apocalyptic number.

43102808640 is a gapful number since it is divisible by the number (40) 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 43102808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76923022176).

43102808640 is an abundant number, since it is smaller than the sum of its proper divisors (110743235712).

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

43102808640 is a wasteful number, since it uses less digits than its factorization.

43102808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 43102808640 in words is "forty-three billion, one hundred two million, eight hundred eight thousand, six hundred forty".