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114410234000 = 24532310492371
BaseRepresentation
bin110101010001101100…
…0011010000010010000
3101221022110001002002002
41222203120122002100
53333303004442000
6124320452213132
711160122641346
oct1524330320220
9357273032062
10114410234000
114458065a1a7
121a20b90a1a8
13aa3410411a
145774c03996
152e993a38d5
hex1aa361a090

114410234000 has 160 divisors (see below), whose sum is σ = 289068998400. Its totient is φ = 43714176000.

The previous prime is 114410233999. The next prime is 114410234009. The reversal of 114410234000 is 432014411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114410234009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48252815 + ... + 48255185.

It is an arithmetic number, because the mean of its divisors is an integer number (1806681240).

Almost surely, 2114410234000 is an apocalyptic number.

114410234000 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 114410234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144534499200).

114410234000 is an abundant number, since it is smaller than the sum of its proper divisors (174658764400).

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

114410234000 is a wasteful number, since it uses less digits than its factorization.

114410234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114410234000 its reverse (432014411), we get a palindrome (114842248411).

The spelling of 114410234000 in words is "one hundred fourteen billion, four hundred ten million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1049 1150 1840 2000 2098 2300 2371 2875 4196 4600 4742 5245 5750 8392 9200 9484 10490 11500 11855 16784 18968 20980 23000 23710 24127 26225 37936 41960 46000 47420 48254 52450 54533 59275 83920 94840 96508 104900 109066 118550 120635 131125 189680 193016 209800 218132 237100 241270 262250 272665 296375 386032 419600 436264 474200 482540 524500 545330 592750 603175 872528 948400 965080 1049000 1090660 1185500 1206350 1363325 1930160 2098000 2181320 2371000 2412700 2487179 2726650 3015875 4362640 4742000 4825400 4974358 5453300 6031750 6816625 9650800 9948716 10906600 12063500 12435895 13633250 19897432 21813200 24127000 24871790 27266500 39794864 48254000 49743580 54533000 57205117 62179475 99487160 109066000 114410234 124358950 198974320 228820468 248717900 286025585 310897375 457640936 497435800 572051170 621794750 915281872 994871600 1144102340 1243589500 1430127925 2288204680 2487179000 2860255850 4576409360 4974358000 5720511700 7150639625 11441023400 14301279250 22882046800 28602558500 57205117000 114410234000