Search a number
-
+
129311120436 = 2231915113012887
BaseRepresentation
bin111100001101110001…
…0110001110000110100
3110100202220200112111220
41320123202301300310
54104312121323221
6135223230030340
712225310250061
oct1703342616064
9410686615456
10129311120436
114a927835783
122108a0483b0
13c26a259ca4
146389bc7c68
15356c63b0c6
hex1e1b8b1c34

129311120436 has 96 divisors (see below), whose sum is σ = 320066181120. Its totient is φ = 40519440000.

The previous prime is 129311120431. The next prime is 129311120453. The reversal of 129311120436 is 634021113921.

129311120436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 129311120397 and 129311120406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129311120431) 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, 44789385 + ... + 44792271.

It is an arithmetic number, because the mean of its divisors is an integer number (3334022720).

Almost surely, 2129311120436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129311120436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160033090560).

129311120436 is an abundant number, since it is smaller than the sum of its proper divisors (190755060684).

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

129311120436 is a wasteful number, since it uses less digits than its factorization.

129311120436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 129311120436 in words is "one hundred twenty-nine billion, three hundred eleven million, one hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 151 228 302 453 604 906 1301 1812 2602 2869 2887 3903 5204 5738 5774 7806 8607 8661 11476 11548 15612 17214 17322 24719 34428 34644 49438 54853 74157 98876 109706 148314 164559 196451 219412 296628 329118 392902 435937 589353 658236 785804 871874 1178706 1307811 1743748 2357412 2615622 3732569 3755987 5231244 7465138 7511974 8282803 11197707 11267961 14930276 15023948 16565606 22395414 22535922 24848409 33131212 44790828 45071844 49696818 71363753 99393636 142727506 214091259 285455012 428182518 567154037 856365036 1134308074 1701462111 2268616148 3402924222 6805848444 10775926703 21551853406 32327780109 43103706812 64655560218 129311120436