Search a number
-
+
4334013132441 = 319894995633041
BaseRepresentation
bin111111000100010111010…
…100000010111010011001
3120100022211211022212211020
4333010113110002322121
51032002024330214231
613115003530353053
7625056612535056
oct77042724027231
916308754285736
104334013132441
111421054475783
1259bb6428b789
1325590755b3c5
1410daa589c02d
1577b0e75e396
hex3f117502e99

4334013132441 has 64 divisors (see below), whose sum is σ = 6176476800000. Its totient is φ = 2695407390720.

The previous prime is 4334013132401. The next prime is 4334013132443. The reversal of 4334013132441 is 1442313104334.

4334013132441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4334013132441 - 219 = 4334012608153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4334013132443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1425191881 + ... + 1425194921.

It is an arithmetic number, because the mean of its divisors is an integer number (96507450000).

Almost surely, 24334013132441 is an apocalyptic number.

It is an amenable number.

4334013132441 is a deficient number, since it is larger than the sum of its proper divisors (1842463667559).

4334013132441 is a wasteful number, since it uses less digits than its factorization.

4334013132441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 4334013132441 its reverse (1442313104334), we get a palindrome (5776326236775).

The spelling of 4334013132441 in words is "four trillion, three hundred thirty-four billion, thirteen million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 19 57 89 267 499 563 1497 1689 1691 3041 5073 9123 9481 10697 28443 32091 44411 50107 57779 133233 150321 173337 270649 280937 811947 842811 843809 952033 1517459 1712083 2531427 2856099 4552377 5136249 5142331 5337803 15426993 16013409 25003393 28831721 32529577 75010179 86495163 97588731 135053851 152375387 405161553 457126161 475064467 854329417 1425193401 2562988251 2566023169 2895132353 7698069507 8685397059 16232258923 48696776769 76035318113 228105954339 1444671044147 4334013132441