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4311401120334 = 23272111346932993
BaseRepresentation
bin111110101111010011100…
…010000100001001001110
3120021011110221211122120100
4332233103202010021032
51031114222141322314
613100344052431530
7623326352600400
oct76572342041116
916234427748510
104311401120334
111412500597370
125976b36185a6
13253742996199
1410c95c728b70
157723953dc09
hex3ebd388424e

4311401120334 has 144 divisors (see below), whose sum is σ = 11855592805680. Its totient is φ = 1119727365120.

The previous prime is 4311401120317. The next prime is 4311401120363. The reversal of 4311401120334 is 4330211041134.

4311401120334 is a `hidden beast` number, since 4 + 311 + 4 + 0 + 1 + 12 + 0 + 334 = 666.

4311401120334 is digitally balanced in base 2, 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 = 4311401120298 and 4311401120307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130659742 + ... + 130692734.

It is an arithmetic number, because the mean of its divisors is an integer number (82330505595).

Almost surely, 24311401120334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4311401120334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927796402840).

4311401120334 is an abundant number, since it is smaller than the sum of its proper divisors (7544191685346).

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

4311401120334 is a wasteful number, since it uses less digits than its factorization.

4311401120334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46495 (or 46485 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4311401120334 its reverse (4330211041134), we get a palindrome (8641612161468).

The spelling of 4311401120334 in words is "four trillion, three hundred eleven billion, four hundred one million, one hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 13469 26938 32993 40407 65986 80814 94283 98979 121221 148159 188566 197958 230951 242442 282849 296318 296937 362923 444477 461902 565698 593874 659981 692853 725846 848547 888954 1037113 1088769 1319962 1333431 1385706 1616657 1697094 1979943 2074226 2078559 2177538 2540461 2666862 3111339 3233314 3266307 3959886 4157118 4849971 5080922 5939829 6222678 6532614 7259791 7621383 9334017 9699942 11879658 14519582 14549913 15242766 17783227 18668034 21779373 22864149 29099826 35566454 43558746 45728298 53349681 65338119 106699362 130676238 160049043 320098086 444382717 888765434 1333148151 2666296302 3110679019 3999444453 4888209887 6221358038 7998888906 9332037057 9776419774 14664629661 18664074114 21774753133 27996111171 29329259322 34217469209 43549506266 43993888983 55992222342 65324259399 68434938418 87987777966 102652407627 130648518798 195972778197 205304815254 239522284463 307957222881 391945556394 479044568926 615914445762 718566853389 1437133706778 2155700560167 4311401120334