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4134013331322 = 237837877150551
BaseRepresentation
bin111100001010000110011…
…001010110011101111010
3112122012121111102022010210
4330022012121112131322
51020212424403100242
612443050044451550
7604446463346640
oct74120631263572
915565544368123
104134013331322
11135425282aa46
12569248849bb6
1323cab32ab914
1410413182d190
1572806328d9c
hex3c28665677a

4134013331322 has 64 divisors (see below), whose sum is σ = 9564296361984. Its totient is φ = 1166760091200.

The previous prime is 4134013331309. The next prime is 4134013331339. The reversal of 4134013331322 is 2231333104314.

It is a self number, because there is not a number n which added to its sum of digits gives 4134013331322.

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, 27383947 + ... + 27534497.

It is an arithmetic number, because the mean of its divisors is an integer number (149442130656).

Almost surely, 24134013331322 is an apocalyptic number.

4134013331322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134013331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782148180992).

4134013331322 is an abundant number, since it is smaller than the sum of its proper divisors (5430283030662).

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

4134013331322 is a wasteful number, since it uses less digits than its factorization.

4134013331322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158523.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 4134013331322 its reverse (2231333104314), we get a palindrome (6365346435636).

The spelling of 4134013331322 in words is "four trillion, one hundred thirty-four billion, thirteen million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 1162 1743 3486 7877 15754 23631 47262 55139 110278 150551 165417 301102 330834 451653 653791 903306 1053857 1307582 1961373 2107714 3161571 3922746 4576537 6323142 9153074 12495733 13729611 24991466 27459222 37487199 74974398 87470131 174940262 262410393 524820786 1185890227 2371780454 3557670681 7115341362 8301231589 16602463178 24903694767 49807389534 98428888841 196857777682 295286666523 590573333046 689002221887 1378004443774 2067006665661 4134013331322