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1399942656 = 29337172337
BaseRepresentation
bin101001101110001…
…0110111000000000
310121120020110022000
41103130112320000
510331341131111
6350525344000
746456213320
oct12334267000
93546213260
101399942656
1165925a702
12330a08000
1319405b648
14d3cd9280
1582d82c56
hex53716e00

1399942656 has 640 divisors, whose sum is σ = 5373941760. Its totient is φ = 350355456.

The previous prime is 1399942651. The next prime is 1399942783. The reversal of 1399942656 is 6562499931.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399942651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37836270 + ... + 37836306.

It is an arithmetic number, because the mean of its divisors is an integer number (8396784).

Almost surely, 21399942656 is an apocalyptic number.

1399942656 is a gapful number since it is divisible by the number (16) 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 1399942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686970880).

1399942656 is an abundant number, since it is smaller than the sum of its proper divisors (3973999104).

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

1399942656 is a wasteful number, since it uses less digits than its factorization.

1399942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 1399942656 is about 37415.8075684596. The cubic root of 1399942656 is about 1118.6736680398.

The spelling of 1399942656 in words is "one billion, three hundred ninety-nine million, nine hundred forty-two thousand, six hundred fifty-six".