Search a number
-
+
4361334260316 = 22311261331148763
BaseRepresentation
bin111111011101110011110…
…001111000001001011100
3120102221100212211222111020
4333131303301320021130
51032424003032312231
613135322545124140
7630044633355105
oct77356361701134
916387325758436
104361334260316
1114316a4543500
125a530a029650
1325836c926667
141111382133ac
15786ad0c8396
hex3f773c7825c

4361334260316 has 144 divisors (see below), whose sum is σ = 11403477047424. Its totient is φ = 1296014544000.

The previous prime is 4361334260287. The next prime is 4361334260347. The reversal of 4361334260316 is 6130624331634.

It is a super-2 number, since 2×43613342603162 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29242951 + ... + 29391713.

Almost surely, 24361334260316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4361334260316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701738523712).

4361334260316 is an abundant number, since it is smaller than the sum of its proper divisors (7042142787108).

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

4361334260316 is a wasteful number, since it uses less digits than its factorization.

4361334260316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149184 (or 149171 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 4361334260316 in words is "four trillion, three hundred sixty-one billion, three hundred thirty-four million, two hundred sixty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 121 122 132 183 242 244 331 363 366 484 662 671 726 732 993 1324 1342 1452 1986 2013 2684 3641 3972 4026 7282 7381 8052 10923 14564 14762 20191 21846 22143 29524 40051 40382 43692 44286 60573 80102 80764 88572 120153 121146 148763 160204 222101 240306 242292 297526 444202 446289 480612 595052 666303 888404 892578 1332606 1636393 1785156 2443111 2665212 3272786 4886222 4909179 6545572 7329333 9074543 9772444 9818358 14658666 18000323 18149086 19636716 27223629 29317332 36000646 36298172 49240553 54000969 54447258 72001292 98481106 99819973 108001938 108894516 147721659 196962212 199639946 216003876 295443318 299459919 399279892 541646083 590886636 598919838 1083292166 1098019703 1197839676 1624938249 2166584332 2196039406 3003673733 3249876498 3294059109 4392078812 5958106913 6007347466 6499752996 6588118218 9011021199 11916213826 12014694932 13176236436 17874320739 18022042398 23832427652 33040411063 35748641478 36044084796 66080822126 71497282956 99121233189 132161644252 198242466378 363444521693 396484932756 726889043386 1090333565079 1453778086772 2180667130158 4361334260316