Search a number
-
+
141320400200 = 23527219758971
BaseRepresentation
bin1000001110011101011…
…0100010110101001000
3111111202212021011022022
42003213112202311020
54303411010301300
6144531030344012
713132023403400
oct2034726426510
9444685234268
10141320400200
1154a2a755381
122347babb008
13104322c05a5
146ba8b3d800
153a21ae1285
hex20e75a2d48

141320400200 has 144 divisors (see below), whose sum is σ = 402331057200. Its totient is φ = 45902505600.

The previous prime is 141320400191. The next prime is 141320400203. The reversal of 141320400200 is 2004023141.

It is not an unprimeable number, because it can be changed into a prime (141320400203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193286 + ... + 565685.

It is an arithmetic number, because the mean of its divisors is an integer number (2793965675).

Almost surely, 2141320400200 is an apocalyptic number.

141320400200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141320400200 is an abundant number, since it is smaller than the sum of its proper divisors (261010657000).

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

141320400200 is a wasteful number, since it uses less digits than its factorization.

141320400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759020 (or 759004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 141320400200 its reverse (2004023141), we get a palindrome (143324423341).

The spelling of 141320400200 in words is "one hundred forty-one billion, three hundred twenty million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 49 50 56 70 76 95 98 100 133 140 152 175 190 196 200 245 266 280 350 380 392 475 490 532 665 700 760 931 950 980 1064 1225 1330 1400 1862 1900 1960 2450 2660 3325 3724 3800 4655 4900 5320 6650 7448 9310 9800 13300 18620 23275 26600 37240 46550 93100 186200 758971 1517942 3035884 3794855 5312797 6071768 7589710 10625594 14420449 15179420 18974275 21251188 26563985 28840898 30358840 37189579 37948550 42502376 53127970 57681796 72102245 74379158 75897100 100943143 106255940 115363592 132819925 144204490 148758316 151794200 185947895 201886286 212511880 265639850 288408980 297516632 360511225 371895790 403772572 504715715 531279700 576817960 706602001 721022450 743791580 807545144 929739475 1009431430 1062559400 1413204002 1442044900 1487583160 1859478950 2018862860 2523578575 2826408004 2884089800 3533010005 3718957900 4037725720 5047157150 5652816008 7066020010 7437915800 10094314300 14132040020 17665050025 20188628600 28264080040 35330100050 70660200100 141320400200