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1400133140 = 225719152361
BaseRepresentation
bin101001101110100…
…0101011000010100
310121120121010120222
41103131011120110
510331413230030
6350533413512
746460635550
oct12335053024
93546533528
101400133140
1165937a82a
12330a9a298
131940c7263
14d3d48860
1582dbe3e5
hex53745614

1400133140 has 48 divisors (see below), whose sum is σ = 3377977344. Its totient is φ = 477523200.

The previous prime is 1400133139. The next prime is 1400133151. The reversal of 1400133140 is 413310041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560 + ... + 52920.

It is an arithmetic number, because the mean of its divisors is an integer number (70374528).

Almost surely, 21400133140 is an apocalyptic number.

1400133140 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 1400133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688988672).

1400133140 is an abundant number, since it is smaller than the sum of its proper divisors (1977844204).

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

1400133140 is a wasteful number, since it uses less digits than its factorization.

1400133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52568 (or 52566 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1400133140 is about 37418.3529835294. The cubic root of 1400133140 is about 1118.7244033968.

Adding to 1400133140 its reverse (413310041), we get a palindrome (1813443181).

The spelling of 1400133140 in words is "one billion, four hundred million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3820 5348 6685 13370 26740 52361 104722 209444 261805 366527 523610 733054 1047220 1466108 1832635 3665270 7330540 10000951 20001902 40003804 50004755 70006657 100009510 140013314 200019020 280026628 350033285 700066570 1400133140