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114400243320 = 233511457189643
BaseRepresentation
bin110101010001011001…
…0010010111001111000
3101221021202020111102220
41222202302102321320
53333242430241240
6124315454124040
711156642011116
oct1524262227170
9357252214386
10114400243320
1144575a56040
121a2084b0620
13aa3201688c
145773762ab6
152e9857d5d0
hex1aa2c92e78

114400243320 has 128 divisors (see below), whose sum is σ = 375222032640. Its totient is φ = 27672560640.

The previous prime is 114400243301. The next prime is 114400243387. The reversal of 114400243320 is 23342004411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 508419 + ... + 698061.

It is an arithmetic number, because the mean of its divisors is an integer number (2931422130).

Almost surely, 2114400243320 is an apocalyptic number.

114400243320 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 114400243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187611016320).

114400243320 is an abundant number, since it is smaller than the sum of its proper divisors (260821789320).

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

114400243320 is a wasteful number, since it uses less digits than its factorization.

114400243320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190125 (or 190121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 114400243320 its reverse (23342004411), we get a palindrome (137742247731).

The spelling of 114400243320 in words is "one hundred fourteen billion, four hundred million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 457 660 914 1320 1371 1828 2285 2742 3656 4570 5027 5484 6855 9140 10054 10968 13710 15081 18280 20108 25135 27420 30162 40216 50270 54840 60324 75405 100540 120648 150810 189643 201080 301620 379286 568929 603240 758572 948215 1137858 1517144 1896430 2086073 2275716 2844645 3792860 4172146 4551432 5689290 6258219 7585720 8344292 10430365 11378580 12516438 16688584 20860730 22757160 25032876 31291095 41721460 50065752 62582190 83442920 86666851 125164380 173333702 250328760 260000553 346667404 433334255 520001106 693334808 866668510 953335361 1040002212 1300002765 1733337020 1906670722 2080004424 2600005530 2860006083 3466674040 3813341444 4766676805 5200011060 5720012166 7626682888 9533353610 10400022120 11440024332 14300030415 19066707220 22880048664 28600060830 38133414440 57200121660 114400243320