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114234232440 = 233531167183881
BaseRepresentation
bin110101001100011100…
…1000000111001111000
3101220212011212021022210
41222120321000321320
53332422430414230
6124251204015120
711152554645306
oct1523071007170
9356764767283
10114234232440
11444a0278669
121a1809914a0
13aa068001a3
1457596ab276
152e88bd9eb0
hex1a98e40e78

114234232440 has 128 divisors (see below), whose sum is σ = 355877867520. Its totient is φ = 29303116800.

The previous prime is 114234232423. The next prime is 114234232499. The reversal of 114234232440 is 44232432411.

It is a super-3 number, since 3×1142342324403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114234232398 and 114234232407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529300 + ... + 713180.

It is an arithmetic number, because the mean of its divisors is an integer number (2780295840).

Almost surely, 2114234232440 is an apocalyptic number.

114234232440 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 114234232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177938933760).

114234232440 is an abundant number, since it is smaller than the sum of its proper divisors (241643635080).

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

114234232440 is a wasteful number, since it uses less digits than its factorization.

114234232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184093 (or 184089 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 114234232440 its reverse (44232432411), we get a palindrome (158466664851).

The spelling of 114234232440 in words is "one hundred fourteen billion, two hundred thirty-four million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 167 186 248 310 334 372 465 501 620 668 744 835 930 1002 1240 1336 1670 1860 2004 2505 3340 3720 4008 5010 5177 6680 10020 10354 15531 20040 20708 25885 31062 41416 51770 62124 77655 103540 124248 155310 183881 207080 310620 367762 551643 621240 735524 919405 1103286 1471048 1838810 2206572 2758215 3677620 4413144 5516430 5700311 7355240 11032860 11400622 17100933 22065720 22801244 28501555 30708127 34201866 45602488 57003110 61416254 68403732 85504665 92124381 114006220 122832508 136807464 153540635 171009330 184248762 228012440 245665016 307081270 342018660 368497524 460621905 614162540 684037320 736995048 921243810 951951937 1228325080 1842487620 1903903874 2855855811 3684975240 3807807748 4759759685 5711711622 7615615496 9519519370 11423423244 14279279055 19039038740 22846846488 28558558110 38078077480 57117116220 114234232440