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1400313200 = 2452111324481
BaseRepresentation
bin101001101110111…
…0001010101110000
310121120221021120212
41103131301111300
510331440010300
6350541323252
746462315526
oct12335612560
93546837525
101400313200
11659493040
12330b66528
1319415b1c0
14d3d94316
1582e07935
hex53771570

1400313200 has 120 divisors (see below), whose sum is σ = 3952569936. Its totient is φ = 470016000.

The previous prime is 1400313181. The next prime is 1400313217. The reversal of 1400313200 is 23130041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44960 + ... + 69440.

Almost surely, 21400313200 is an apocalyptic number.

1400313200 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 1400313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976284968).

1400313200 is an abundant number, since it is smaller than the sum of its proper divisors (2552256736).

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

1400313200 is a wasteful number, since it uses less digits than its factorization.

1400313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24523 (or 24512 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1400313200 is about 37420.7589447355. The cubic root of 1400313200 is about 1118.7723580938.

Adding to 1400313200 its reverse (23130041), we get a palindrome (1423443241).

The spelling of 1400313200 in words is "one billion, four hundred million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 24481 28600 48962 57200 97924 122405 195848 244810 269291 318253 391696 489620 538582 612025 636506 979240 1077164 1224050 1273012 1346455 1591265 1958480 2154328 2448100 2546024 2692910 3182530 3500783 4308656 4896200 5092048 5385820 6365060 6732275 7001566 7956325 9792400 10771640 12730120 13464550 14003132 15912650 17503915 21543280 25460240 26929100 28006264 31825300 35007830 53858200 56012528 63650600 70015660 87519575 107716400 127301200 140031320 175039150 280062640 350078300 700156600 1400313200