Search a number
-
+
129769122340 = 2251113151130029
BaseRepresentation
bin111100011011011010…
…1111010101000100100
3110101221211111110000101
41320312311322220210
54111231343403330
6135340510353444
712242541224434
oct1706665725044
9411854443011
10129769122340
1150042317350
12211974bb884
13c3110c8c30
1463d096a2c4
15359795a4ca
hex1e36d7aa24

129769122340 has 96 divisors (see below), whose sum is σ = 320380220160. Its totient is φ = 43528588800.

The previous prime is 129769122323. The next prime is 129769122341. The reversal of 129769122340 is 43221967921.

It is a super-2 number, since 2×1297691223402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129769122341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4306446 + ... + 4336474.

It is an arithmetic number, because the mean of its divisors is an integer number (3337293960).

Almost surely, 2129769122340 is an apocalyptic number.

129769122340 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 129769122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160190110080).

129769122340 is an abundant number, since it is smaller than the sum of its proper divisors (190611097820).

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

129769122340 is a wasteful number, since it uses less digits than its factorization.

129769122340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31573 (or 31571 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 129769122340 in words is "one hundred twenty-nine billion, seven hundred sixty-nine million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 1511 2860 3022 6044 7555 15110 16621 19643 30029 30220 33242 39286 60058 66484 78572 83105 98215 120116 150145 166210 196430 216073 300290 330319 332420 390377 392860 432146 600580 660638 780754 864292 1080365 1321276 1561508 1651595 1951885 2160730 3303190 3903770 4294147 4321460 6606380 7807540 8588294 17176588 21470735 42941470 45373819 85882940 90747638 181495276 226869095 453738190 499112009 589859647 907476380 998224018 1179719294 1996448036 2359438588 2495560045 2949298235 4991120090 5898596470 6488456117 9982240180 11797192940 12976912234 25953824468 32442280585 64884561170 129769122340