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141314240200 = 23527234388641
BaseRepresentation
bin1000001110011011111…
…1000010111011001000
3111111202102200012101011
42003212333002323020
54303402421141300
6144530250333304
713131620136250
oct2034677027310
9444672605334
10141314240200
1154a27228271
1223479a2a234
1310430c44813
146ba7db8960
153a212c5eba
hex20e6fc2ec8

141314240200 has 96 divisors (see below), whose sum is σ = 391817957760. Its totient is φ = 46344038400.

The previous prime is 141314240159. The next prime is 141314240209. The reversal of 141314240200 is 2042413141.

It is a happy number.

141314240200 is digitally balanced in base 2, 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 (141314240209) 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 23 ways as a sum of consecutive naturals, for example, 2162121 + ... + 2226520.

It is an arithmetic number, because the mean of its divisors is an integer number (4081437060).

Almost surely, 2141314240200 is an apocalyptic number.

141314240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141314240200 is an abundant number, since it is smaller than the sum of its proper divisors (250503717560).

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

141314240200 is a wasteful number, since it uses less digits than its factorization.

141314240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388687 (or 4388678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 141314240200 its reverse (2042413141), we get a palindrome (143356653341).

The spelling of 141314240200 in words is "one hundred forty-one billion, three hundred fourteen million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 3220 4025 4600 6440 8050 16100 32200 4388641 8777282 17554564 21943205 30720487 35109128 43886410 61440974 87772820 100938743 109716025 122881948 153602435 175545640 201877486 219432050 245763896 307204870 403754972 438864100 504693715 614409740 706571201 768012175 807509944 877728200 1009387430 1228819480 1413142402 1536024350 2018774860 2523468575 2826284804 3072048700 3532856005 4037549720 5046937150 5652569608 6144097400 7065712010 10093874300 14131424020 17664280025 20187748600 28262848040 35328560050 70657120100 141314240200