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6940140480 = 263357213297
BaseRepresentation
bin1100111011010101…
…00010001111000000
3122220200002122222000
412131222202033000
5103203133443410
63104355144000
7333661135500
oct63552421700
918820078860
106940140480
112a4158a299
1214182a5000
13867aa7c00
1449ba17a00
152a9442dc0
hex19daa23c0

6940140480 has 1008 divisors, whose sum is σ = 31157814240. Its totient is φ = 1449197568.

The previous prime is 6940140463. The next prime is 6940140511. The reversal of 6940140480 is 840410496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71547792 + ... + 71547888.

It is an arithmetic number, because the mean of its divisors is an integer number (30910530).

Almost surely, 26940140480 is an apocalyptic number.

6940140480 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 6940140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15578907120).

6940140480 is an abundant number, since it is smaller than the sum of its proper divisors (24217673760).

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

6940140480 is a wasteful number, since it uses less digits than its factorization.

6940140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6940140480 is about 83307.5055442185. The cubic root of 6940140480 is about 1907.4628447158.

The spelling of 6940140480 in words is "six billion, nine hundred forty million, one hundred forty thousand, four hundred eighty".