Search a number
-
+
4334422244334 = 2371323345152273
BaseRepresentation
bin111111000100101111101…
…100101011101111101110
3120100100220100010220211120
4333010233230223233232
51032003344043304314
613115112303201410
7625103011120110
oct77045754535756
916310810126746
104334422244334
1114212443a4586
125a00592a6266
13255971240250
1410db03d553b0
1577b356228a9
hex3f12fb2bbee

4334422244334 has 64 divisors (see below), whose sum is σ = 11133231750144. Its totient is φ = 1093442397696.

The previous prime is 4334422244329. The next prime is 4334422244353.

4334422244334 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 172563579 + ... + 172588694.

It is an arithmetic number, because the mean of its divisors is an integer number (173956746096).

Almost surely, 24334422244334 is an apocalyptic number.

4334422244334 is an abundant number, since it is smaller than the sum of its proper divisors (6798809505810).

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

4334422244334 is a wasteful number, since it uses less digits than its factorization.

4334422244334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345152321.

The product of its digits is 2654208, while the sum is 42.

The spelling of 4334422244334 in words is "four trillion, three hundred thirty-four billion, four hundred twenty-two million, two hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 4186 6279 12558 345152273 690304546 1035456819 2070913638 2416065911 4486979549 4832131822 7248197733 7938502279 8973959098 13460938647 14496395466 15877004558 23815506837 26921877294 31408856843 47631013674 55569515953 62817713686 94226570529 103200529627 111139031906 166708547859 188453141058 206401059254 309601588881 333417095718 619203177762 722403707389 1444807414778 2167211122167 4334422244334