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3514053213132 = 2237112680350821
BaseRepresentation
bin110011001000101101111…
…001001011101111001100
3110102221101102002011221220
4303020231321023233030
5430033240110310012
611250200031523340
7511611341321340
oct63105571135714
913387342064856
103514053213132
111135335478200
12489069389550
131c64b22cb5b7
14c211c6c5620
156161debc08c
hex3322de4bbcc

3514053213132 has 144 divisors (see below), whose sum is σ = 10301861719296. Its totient is φ = 912588969600.

The previous prime is 3514053213131. The next prime is 3514053213173. The reversal of 3514053213132 is 2313123504153.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3514053213093 and 3514053213102.

It is not an unprimeable number, because it can be changed into a prime (3514053213131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69120282 + ... + 69171102.

It is an arithmetic number, because the mean of its divisors is an integer number (71540706384).

Almost surely, 23514053213132 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 3514053213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150930859648).

3514053213132 is an abundant number, since it is smaller than the sum of its proper divisors (6787808506164).

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

3514053213132 is a wasteful number, since it uses less digits than its factorization.

3514053213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57660 (or 57647 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 3514053213132 its reverse (2313123504153), we get a palindrome (5827176717285).

The spelling of 3514053213132 in words is "three trillion, five hundred fourteen billion, fifty-three million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 6803 10164 13606 20409 27212 40818 47621 50821 74833 81636 95242 101642 142863 149666 152463 190484 203284 224499 285726 299332 304926 355747 448998 523831 559031 571452 609852 711494 823163 897996 1047662 1067241 1118062 1422988 1571493 1646326 1677093 2095324 2134482 2236124 2469489 3142986 3292652 3354186 3913217 4268964 4938978 5762141 6149341 6285972 6708372 7826434 9877956 11524282 11739651 12298682 15652868 17286423 18448023 23048564 23479302 24597364 34572846 36896046 43045387 46958604 69145692 73792092 86090774 129136161 172181548 258272322 345735263 516544644 691470526 1037205789 1382941052 2074411578 2420146841 3803087893 4148823156 4840293682 7260440523 7606175786 9680587364 11409263679 14520881046 15212351572 22818527358 26621615251 29041762092 41833966823 45637054716 53243230502 79864845753 83667933646 106486461004 125501900469 159729691506 167335867292 251003800938 292837767761 319459383012 502007601876 585675535522 878513303283 1171351071044 1757026606566 3514053213132