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313034304214000 = 24531812731316637
BaseRepresentation
bin100011100101100111111101…
…0100000010101001111110000
31112001100210020212212202010001
41013023033322200111033300
5312012223223334322000
63025433550223115344
7122635660606324255
oct10713177240251760
91461323225782101
10313034304214000
1190819114a399a6
122b13818b142b54
13105890150bb8c5
145742d267a942c
15262cb1993746a
hex11cb3fa8153f0

313034304214000 has 160 divisors (see below), whose sum is σ = 761379902442432. Its totient is φ = 124475944320000.

The previous prime is 313034304213929. The next prime is 313034304214129. The reversal of 313034304214000 is 412403430313.

It is a super-2 number, since 2×3130343042140002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313034304214000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988463682 + ... + 988780318.

Almost surely, 2313034304214000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313034304214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380689951221216).

313034304214000 is an abundant number, since it is smaller than the sum of its proper divisors (448345598228432).

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

313034304214000 is a wasteful number, since it uses less digits than its factorization.

313034304214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319572 (or 319556 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 313034304214000 its reverse (412403430313), we get a palindrome (313446707644313).

The spelling of 313034304214000 in words is "three hundred thirteen trillion, thirty-four billion, three hundred four million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 181 200 250 362 400 500 724 905 1000 1448 1810 2000 2731 2896 3620 4525 5462 7240 9050 10924 13655 14480 18100 21848 22625 27310 36200 43696 45250 54620 68275 72400 90500 109240 136550 181000 218480 273100 316637 341375 362000 494311 546200 633274 682750 988622 1092400 1266548 1365500 1583185 1977244 2471555 2533096 2731000 3166370 3954488 4943110 5066192 5462000 6332740 7908976 7915925 9886220 12357775 12665480 15831850 19772440 24715550 25330960 31663700 39544880 39579625 49431100 57311297 61788875 63327400 79159250 98862200 114622594 123577750 126654800 158318500 197724400 229245188 247155500 286556485 316637000 458490376 494311000 573112970 633274000 864735647 916980752 988622000 1146225940 1432782425 1729471294 2292451880 2865564850 3458942588 4323678235 4584903760 5731129700 6917885176 7163912125 8647356470 11462259400 13835770352 14327824250 17294712940 21618391175 22924518800 28655648500 34589425880 43236782350 57311297000 69178851760 86473564700 108091955875 114622594000 156517152107 172947129400 216183911750 313034304214 345894258800 432367823500 626068608428 782585760535 864735647000 1252137216856 1565171521070 1729471294000 2504274433712 3130343042140 3912928802675 6260686084280 7825857605350 12521372168560 15651715210700 19564644013375 31303430421400 39129288026750 62606860842800 78258576053500 156517152107000 313034304214000