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134141311220 = 2257336753281
BaseRepresentation
bin111110011101101110…
…0011111100011110100
3110211020112112122121212
41330323130133203310
54144210133424340
6141342413500552
712456101222000
oct1747334374364
9424215478555
10134141311220
1151986300594
1221bb77a1758
13c859b72347
1466c74c5700
1537516eda65
hex1f3b71f8f4

134141311220 has 96 divisors (see below), whose sum is σ = 329410636800. Its totient is φ = 45865128960.

The previous prime is 134141311217. The next prime is 134141311267. The reversal of 134141311220 is 22113141431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2490980 + ... + 2544260.

It is an arithmetic number, because the mean of its divisors is an integer number (3431360800).

Almost surely, 2134141311220 is an apocalyptic number.

134141311220 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 134141311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164705318400).

134141311220 is an abundant number, since it is smaller than the sum of its proper divisors (195269325580).

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

134141311220 is a wasteful number, since it uses less digits than its factorization.

134141311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53678 (or 53662 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 134141311220 its reverse (22113141431), we get a palindrome (156254452651).

The spelling of 134141311220 in words is "one hundred thirty-four billion, one hundred forty-one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 367 490 686 734 980 1372 1468 1715 1835 2569 3430 3670 5138 6860 7340 10276 12845 17983 25690 35966 51380 53281 71932 89915 106562 125881 179830 213124 251762 266405 359660 372967 503524 532810 629405 745934 1065620 1258810 1491868 1864835 2517620 2610769 3729670 5221538 7459340 10443076 13053845 18275383 19554127 26107690 36550766 39108254 52215380 73101532 78216508 91376915 97770635 136878889 182753830 195541270 273757778 365507660 391082540 547515556 684394445 958152223 1368788890 1916304446 2737577780 3832608892 4790761115 6707065561 9581522230 13414131122 19163044460 26828262244 33535327805 67070655610 134141311220