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113123444140240 = 2458992211723037
BaseRepresentation
bin11001101110001010011010…
…101101000010100011010000
3112211112111101022202010021021
4121232022122231002203100
5104311403303144441430
61040332105351405224
732553620254614352
oct3156123255024320
9484474338663237
10113123444140240
1133054424105586
12108300b8683814
134b176586c7711
141dd12bd75b0d2
15d1290148307a
hex66e29ab428d0

113123444140240 has 80 divisors (see below), whose sum is σ = 265996196738640. Its totient is φ = 44736079646720.

The previous prime is 113123444140177. The next prime is 113123444140271. The reversal of 113123444140240 is 42041444321311.

It can be written as a sum of positive squares in 8 ways, for example, as 153670272064 + 112969773868176 = 392008^2 + 10628724^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1131234441402402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113123444140196 and 113123444140205.

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, 64792002 + ... + 66515038.

It is an arithmetic number, because the mean of its divisors is an integer number (3324952459233).

Almost surely, 2113123444140240 is an apocalyptic number.

113123444140240 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 113123444140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132998098369320).

113123444140240 is an abundant number, since it is smaller than the sum of its proper divisors (152872752598400).

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

113123444140240 is a wasteful number, since it uses less digits than its factorization.

113123444140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732360 (or 1732354 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 113123444140240 its reverse (42041444321311), we get a palindrome (155164888461551).

The spelling of 113123444140240 in words is "one hundred thirteen trillion, one hundred twenty-three billion, four hundred forty-four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 9221 18442 36884 46105 73768 92210 147536 184420 368840 737680 820669 1641338 1723037 3282676 3446074 4103345 6565352 6892148 8206690 8615185 13130704 13784296 16413380 17230370 27568592 32826760 34460740 65653520 68921480 137842960 153350293 306700586 613401172 766751465 1226802344 1533502930 2453604688 3067005860 6134011720 12268023440 15888124177 31776248354 63552496708 79440620885 127104993416 158881241770 254209986832 317762483540 635524967080 1271049934160 1414043051753 2828086103506 5656172207012 7070215258765 11312344414024 14140430517530 22624688828048 28280861035060 56561722070120 113123444140240