Search a number
-
+
640060439040 = 293251113918169
BaseRepresentation
bin10010101000001101001…
…00110011101000000000
32021012002220122012202200
421110012210303220000
540441320433022130
61210012324313200
764146202651641
oct11240644635000
92235086565680
10640060439040
112274a2482360
12a406ab42800
13484853b17c9
1422d9c8a56c8
15119b1ce2760
hex9506933a00

640060439040 has 480 divisors, whose sum is σ = 2435759726400. Its totient is φ = 154041384960.

The previous prime is 640060439033. The next prime is 640060439087. The reversal of 640060439040 is 40934060046.

640060439040 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 604 + 3 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6400604390402 (a number of 24 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 = 640060438986 and 640060439004.

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, 35219076 + ... + 35237244.

It is an arithmetic number, because the mean of its divisors is an integer number (5074499430).

Almost surely, 2640060439040 is an apocalyptic number.

640060439040 is a gapful number since it is divisible by the number (60) 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 640060439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217879863200).

640060439040 is an abundant number, since it is smaller than the sum of its proper divisors (1795699287360).

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

640060439040 is a wasteful number, since it uses less digits than its factorization.

640060439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18348 (or 18329 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 640060439040 its reverse (40934060046), we get a palindrome (680994499086).

The spelling of 640060439040 in words is "six hundred forty billion, sixty million, four hundred thirty-nine thousand, forty".