Search a number
-
+
114413411420200 = 23521967014493179
BaseRepresentation
bin11010000000111011110010…
…101111101100100000101000
3120000002211000100202120220201
4122000323302233230200220
5104444022131310421300
61043200443503201544
733046044664566304
oct3200736257544050
9500084010676821
10114413411420200
1133501500aa4702
12109ba103ba62b4
134bac1a50b9609
1420378d26a6d04
15d3624e6d566a
hex680ef2bec828

114413411420200 has 96 divisors (see below), whose sum is σ = 280053618948000. Its totient is φ = 43350181344000.

The previous prime is 114413411420183. The next prime is 114413411420249. The reversal of 114413411420200 is 2024114314411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23217211 + ... + 27710389.

It is an arithmetic number, because the mean of its divisors is an integer number (2917225197375).

Almost surely, 2114413411420200 is an apocalyptic number.

114413411420200 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 114413411420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140026809474000).

114413411420200 is an abundant number, since it is smaller than the sum of its proper divisors (165640207527800).

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

114413411420200 is a wasteful number, since it uses less digits than its factorization.

114413411420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499915 (or 4499906 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 114413411420200 its reverse (2024114314411), we get a palindrome (116437525734611).

The spelling of 114413411420200 in words is "one hundred fourteen trillion, four hundred thirteen billion, four hundred eleven million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 6701 13402 26804 33505 53608 67010 127319 134020 167525 254638 268040 335050 509276 636595 670100 1018552 1273190 1340200 2546380 3182975 4493179 5092760 6365950 8986358 12731900 17972716 22465895 25463800 35945432 44931790 85370401 89863580 112329475 170740802 179727160 224658950 341481604 426852005 449317900 682963208 853704010 898635800 1707408020 2134260025 3414816040 4268520050 8537040100 17074080200 30108792479 60217584958 120435169916 150543962395 240870339832 301087924790 572067057101 602175849580 752719811975 1144134114202 1204351699160 1505439623950 2288268228404 2860335285505 3010879247900 4576536456808 5720670571010 6021758495800 11441341142020 14301676427525 22882682284040 28603352855050 57206705710100 114413411420200