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4213111374 = 2334183101227
BaseRepresentation
bin1111101100011110…
…1111101001001110
3101212121201020022000
43323013233221032
532112024030444
61534021333130
7206255566353
oct37307575116
911777636260
104213111374
111872211a2a
12996b671a6
13521b19814
142bd78a62a
15199d1e469
hexfb1efa4e

4213111374 has 128 divisors (see below), whose sum is σ = 9845660160. Its totient is φ = 1334304000.

The previous prime is 4213111369. The next prime is 4213111379. The reversal of 4213111374 is 4731113124.

It is an interprime number because it is at equal distance from previous prime (4213111369) and next prime (4213111379).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213111379) 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, 18559849 + ... + 18560075.

It is an arithmetic number, because the mean of its divisors is an integer number (76919220).

Almost surely, 24213111374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213111374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922830080).

4213111374 is an abundant number, since it is smaller than the sum of its proper divisors (5632548786).

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

4213111374 is a wasteful number, since it uses less digits than its factorization.

4213111374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 4213111374 is about 64908.4846071760. The cubic root of 4213111374 is about 1615.1058120310.

Adding to 4213111374 its reverse (4731113124), we get a palindrome (8944224498).

The spelling of 4213111374 in words is "four billion, two hundred thirteen million, one hundred eleven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 83 101 123 166 202 227 246 249 303 369 454 498 606 681 738 747 909 1107 1362 1494 1818 2043 2214 2241 2727 3403 4086 4141 4482 5454 6129 6806 8282 8383 9307 10209 12258 12423 16766 18614 18841 20418 22927 24846 25149 27921 30627 37269 37682 45854 50298 55842 56523 61254 68781 74538 75447 83763 91881 111807 113046 137562 150894 167526 169569 183762 206343 223614 226341 251289 339138 343703 412686 452682 502578 508707 619029 687406 772481 940007 1017414 1031109 1238058 1544962 1880014 1902941 2062218 2317443 2820021 3093327 3805882 4634886 5640042 5708823 6186654 6952329 8460063 9279981 11417646 13904658 16920126 17126469 18559962 20856987 25380189 34252938 41713974 50760378 51379407 78020581 102758814 156041162 234061743 468123486 702185229 1404370458 2106555687 4213111374