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1401063840 = 253251131743
BaseRepresentation
bin101001110000010…
…1000100110100000
310121122100102021100
41103200220212200
510332133020330
6351005354400
746501563141
oct12340504640
93548312240
101401063840
11659956000
12331268a00
13194361a77
14d410bac8
1583005060
hex538289a0

1401063840 has 576 divisors, whose sum is σ = 5697724032. Its totient is φ = 312238080.

The previous prime is 1401063809. The next prime is 1401063841. The reversal of 1401063840 is 483601041.

1401063840 is a `hidden beast` number, since 14 + 0 + 10 + 638 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401063841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32582859 + ... + 32582901.

It is an arithmetic number, because the mean of its divisors is an integer number (9891882).

Almost surely, 21401063840 is an apocalyptic number.

1401063840 is a gapful number since it is divisible by the number (10) 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 1401063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848862016).

1401063840 is an abundant number, since it is smaller than the sum of its proper divisors (4296660192).

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

1401063840 is a wasteful number, since it uses less digits than its factorization.

1401063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1401063840 is about 37430.7873280806. The cubic root of 1401063840 is about 1118.9722289202.

Adding to 1401063840 its reverse (483601041), we get a palindrome (1884664881).

The spelling of 1401063840 in words is "one billion, four hundred one million, sixty-three thousand, eight hundred forty".