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1314244143100 = 2252723115170921
BaseRepresentation
bin10011000111111111000…
…011100010011111111100
311122122021221012220011201
4103013333003202133330
5133013033000034400
62443431101025244
7163644123616360
oct23077703423774
94578257186151
101314244143100
11467405613789
12192861855224
1396c18177b95
14478772552a0
15242be6d206a
hex131ff0e27fc

1314244143100 has 144 divisors (see below), whose sum is σ = 3404038127616. Its totient is φ = 430626240000.

The previous prime is 1314244143073. The next prime is 1314244143103. The reversal of 1314244143100 is 13414424131.

It is a super-2 number, since 2×13142441431002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314244143103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18495640 + ... + 18566560.

It is an arithmetic number, because the mean of its divisors is an integer number (23639153664).

Almost surely, 21314244143100 is an apocalyptic number.

1314244143100 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 1314244143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702019063808).

1314244143100 is an abundant number, since it is smaller than the sum of its proper divisors (2089793984516).

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

1314244143100 is a wasteful number, since it uses less digits than its factorization.

1314244143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72116 (or 72109 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1314244143100 its reverse (13414424131), we get a palindrome (1327658567231).

The spelling of 1314244143100 in words is "one trillion, three hundred fourteen billion, two hundred forty-four million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1151 1610 2300 2302 3220 4025 4604 5755 8050 8057 11510 16100 16114 23020 26473 28775 32228 40285 52946 57550 70921 80570 105892 115100 132365 141842 161140 185311 201425 264730 283684 354605 370622 402850 496447 529460 661825 709210 741244 805700 926555 992894 1323650 1418420 1631183 1773025 1853110 1985788 2482235 2647300 3262366 3546050 3706220 4632775 4964470 6524732 7092100 8155915 9265550 9928940 11418281 12411175 16311830 18531100 22836562 24822350 32623660 40779575 45673124 49644700 57091405 81559150 81630071 114182810 163118300 163260142 228365620 285457025 326520284 408150355 570914050 571410497 816300710 1141828100 1142820994 1632601420 1877491633 2040751775 2285641988 2857052485 3754983266 4081503550 5714104970 7509966532 8163007100 9387458165 11428209940 13142441431 14285262425 18774916330 26284882862 28570524850 37549832660 46937290825 52569765724 57141049700 65712207155 93874581650 131424414310 187749163300 262848828620 328561035775 657122071550 1314244143100