Search a number
-
+
134024411400 = 233521120306729
BaseRepresentation
bin111110011010001111…
…0100011100100001000
3110210221101120112012220
41330310132203210020
54143440222131100
6141323040134040
712453151462125
oct1746436434410
9423841515186
10134024411400
1151926316a70
1221b84607320
13c83b892559
1466b5b7574c
15374630baa0
hex1f347a3908

134024411400 has 96 divisors (see below), whose sum is σ = 453246213600. Its totient is φ = 32490764800.

The previous prime is 134024411377. The next prime is 134024411401. The reversal of 134024411400 is 4114420431.

It is a super-2 number, since 2×1340244114002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (134024411401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10146765 + ... + 10159964.

It is an arithmetic number, because the mean of its divisors is an integer number (4721314725).

Almost surely, 2134024411400 is an apocalyptic number.

134024411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134024411400 is an abundant number, since it is smaller than the sum of its proper divisors (319221802200).

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

134024411400 is a wasteful number, since it uses less digits than its factorization.

134024411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20306759 (or 20306750 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 134024411400 its reverse (4114420431), we get a palindrome (138138831831).

The spelling of 134024411400 in words is "one hundred thirty-four billion, twenty-four million, four hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 20306729 40613458 60920187 81226916 101533645 121840374 162453832 203067290 223374019 243680748 304600935 406134580 446748038 487361496 507668225 609201870 670122057 812269160 893496076 1015336450 1116870095 1218403740 1340244114 1523004675 1786992152 2030672900 2233740190 2436807480 2680488228 3046009350 3350610285 4061345800 4467480380 5360976456 5584350475 6092018700 6701220570 8934960760 11168700950 12184037400 13402441140 16753051425 22337401900 26804882280 33506102850 44674803800 67012205700 134024411400