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1400134400 = 2852731253
BaseRepresentation
bin101001101110100…
…0101101100000000
310121120121012022122
41103131011230000
510331413300100
6350533423412
746460642330
oct12335055400
93546535278
101400134400
11659380775
12330a9ab68
131940c79c2
14d3d490c0
1582dbe985
hex53745b00

1400134400 has 108 divisors (see below), whose sum is σ = 3960756912. Its totient is φ = 480030720.

The previous prime is 1400134397. The next prime is 1400134423. The reversal of 1400134400 is 44310041.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 29174 + ... + 60426.

Almost surely, 21400134400 is an apocalyptic number.

1400134400 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 1400134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980378456).

1400134400 is an abundant number, since it is smaller than the sum of its proper divisors (2560622512).

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

1400134400 is an equidigital number, since it uses as much as digits as its factorization.

1400134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31286 (or 31267 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1400134400 is about 37418.3698201832. The cubic root of 1400134400 is about 1118.7247389821.

Adding to 1400134400 its reverse (44310041), we get a palindrome (1444444441).

The spelling of 1400134400 in words is "one billion, four hundred million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 3200 4480 5600 6400 8960 11200 22400 31253 44800 62506 125012 156265 218771 250024 312530 437542 500048 625060 781325 875084 1000096 1093855 1250120 1562650 1750168 2000192 2187710 2500240 3125300 3500336 4000384 4375420 5000480 5469275 6250600 7000672 8000768 8750840 10000960 10938550 12501200 14001344 17501680 20001920 21877100 25002400 28002688 35003360 40003840 43754200 50004800 56005376 70006720 87508400 100009600 140013440 175016800 200019200 280026880 350033600 700067200 1400134400