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1014244140 = 2235731317223
BaseRepresentation
bin111100011101000…
…010001100101100
32121200110221101210
4330131002030230
54034121303030
6244350434420
734063635000
oct7435021454
92550427353
101014244140
114805726a8
12243802a10
13132186780
14989b8700
155e096bb0
hex3c74232c

1014244140 has 384 divisors, whose sum is σ = 3793305600. Its totient is φ = 200503296.

The previous prime is 1014244129. The next prime is 1014244163. The reversal of 1014244140 is 414424101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4548069 + ... + 4548291.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 21014244140 is an apocalyptic number.

1014244140 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 1014244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896652800).

1014244140 is an abundant number, since it is smaller than the sum of its proper divisors (2779061460).

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

1014244140 is a wasteful number, since it uses less digits than its factorization.

1014244140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1014244140 is about 31847.1998769123. The cubic root of 1014244140 is about 1004.7256794424.

Adding to 1014244140 its reverse (414424101), we get a palindrome (1428668241).

It can be divided in two parts, 101 and 4244140, that added together give a triangular number (4244241 = T2913).

The spelling of 1014244140 in words is "one billion, fourteen million, two hundred forty-four thousand, one hundred forty".