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1400240142 = 23376415779
BaseRepresentation
bin101001101110101…
…1111100000001110
310121120210120101000
41103131133200032
510331430141032
6350540001130
746461562530
oct12335374016
93546716330
101400240142
11659443164
12330b301a6
13194133b82
14d3d75850
1582de0e7c
hex5375f80e

1400240142 has 64 divisors (see below), whose sum is σ = 3562329600. Its totient is φ = 399375360.

The previous prime is 1400240119. The next prime is 1400240143. The reversal of 1400240142 is 2410420041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400240143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239409 + ... + 245187.

It is an arithmetic number, because the mean of its divisors is an integer number (55661400).

Almost surely, 21400240142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400240142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781164800).

1400240142 is an abundant number, since it is smaller than the sum of its proper divisors (2162089458).

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

1400240142 is a wasteful number, since it uses less digits than its factorization.

1400240142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1400240142 is about 37419.7827625976. The cubic root of 1400240142 is about 1118.7529013293.

Adding to 1400240142 its reverse (2410420041), we get a palindrome (3810660183).

The spelling of 1400240142 in words is "one billion, four hundred million, two hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 641 1282 1923 3846 4487 5769 5779 8974 11538 11558 13461 17307 17337 26922 34614 34674 40383 40453 52011 80766 80906 104022 121149 121359 156033 242298 242718 312066 364077 728154 1092231 2184462 3704339 7408678 11113017 22226034 25930373 33339051 51860746 66678102 77791119 100017153 155582238 200034306 233373357 466746714 700120071 1400240142