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3212445321342 = 235291447157519
BaseRepresentation
bin101110101111110100101…
…010011000100001111110
3102101002212211121210100000
4232233310222120201332
5410113042000240332
610455435500015130
7451043250456555
oct56576452304176
912332784553300
103212445321342
1110294326aa014
1243a7155314a6
131a3c17332b3a
14b16a9bd6d9c
155886a5a0b7c
hex2ebf4a9887e

3212445321342 has 96 divisors (see below), whose sum is σ = 7472194329600. Its totient is φ = 1033169383008.

The previous prime is 3212445321271. The next prime is 3212445321359. The reversal of 3212445321342 is 2431235442123.

3212445321342 is a `hidden beast` number, since 3 + 2 + 1 + 244 + 53 + 21 + 342 = 666.

It is a super-2 number, since 2×32124453213422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3212445321297 and 3212445321306.

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, 20315259 + ... + 20472777.

It is an arithmetic number, because the mean of its divisors is an integer number (77835357600).

Almost surely, 23212445321342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212445321342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736097164800).

3212445321342 is an abundant number, since it is smaller than the sum of its proper divisors (4259749008258).

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

3212445321342 is a wasteful number, since it uses less digits than its factorization.

3212445321342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159012 (or 159000 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 3212445321342 in words is "three trillion, two hundred twelve billion, four hundred forty-five million, three hundred twenty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1447 1566 2349 2894 4341 4698 7047 8682 13023 14094 26046 39069 41963 78138 83926 117207 125889 157519 234414 251778 315038 351621 377667 472557 703242 755334 945114 1133001 1417671 2266002 2835342 3399003 4253013 4568051 6798006 8506026 9136102 10197009 12759039 13704153 20394018 25518078 27408306 38277117 41112459 76554234 82224918 123337377 227929993 246674754 370012131 455859986 683789979 740024262 1110036393 1367579958 2051369937 2220072786 4102739874 6154109811 6609969797 12308219622 13219939594 18462329433 19829909391 36924658866 39659818782 55386988299 59489728173 110773976598 118979456346 178469184519 356938369038 535407553557 1070815107114 1606222660671 3212445321342