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111400231440 = 24351497694051
BaseRepresentation
bin110011110111111111…
…0001010001000010000
3101122112200012002210210
41213233332022020100
53311121424401230
6123102045324120
711022413225601
oct1475776121020
9348480162723
10111400231440
1143276587783
121970b866640
13a674629b14
14556b155da8
152d6eed5eb0
hex19eff8a210

111400231440 has 160 divisors (see below), whose sum is σ = 348196464000. Its totient is φ = 29461708800.

The previous prime is 111400231421. The next prime is 111400231441. The reversal of 111400231440 is 44132004111.

111400231440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (111400231441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27497415 + ... + 27501465.

It is an arithmetic number, because the mean of its divisors is an integer number (2176227900).

Almost surely, 2111400231440 is an apocalyptic number.

111400231440 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 111400231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174098232000).

111400231440 is an abundant number, since it is smaller than the sum of its proper divisors (236796232560).

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

111400231440 is a wasteful number, since it uses less digits than its factorization.

111400231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 111400231440 its reverse (44132004111), we get a palindrome (155532235551).

The spelling of 111400231440 in words is "one hundred eleven billion, four hundred million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 769 894 1192 1490 1538 1788 2235 2307 2384 2980 3076 3576 3845 4051 4470 4614 5960 6152 7152 7690 8102 8940 9228 11535 11920 12153 12304 15380 16204 17880 18456 20255 23070 24306 30760 32408 35760 36912 40510 46140 48612 60765 61520 64816 81020 92280 97224 114581 121530 162040 184560 194448 229162 243060 324080 343743 458324 486120 572905 603599 687486 916648 972240 1145810 1207198 1374972 1718715 1810797 1833296 2291620 2414396 2749944 3017995 3115219 3437430 3621594 4583240 4828792 5499888 6035990 6230438 6874860 7243188 9053985 9166480 9345657 9657584 12071980 12460876 13749720 14486376 15576095 18107970 18691314 24143960 24921752 27499440 28972752 31152190 36215940 37382628 46728285 48287920 49843504 62304380 72431880 74765256 93456570 124608760 144863760 149530512 186913140 249217520 373826280 464167631 747652560 928335262 1392502893 1856670524 2320838155 2785005786 3713341048 4641676310 5570011572 6962514465 7426682096 9283352620 11140023144 13925028930 18566705240 22280046288 27850057860 37133410480 55700115720 111400231440