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3342333311440 = 245107509767111
BaseRepresentation
bin110000101000110010100…
…101101111100111010000
3102211112010221210100020221
4300220302211233213100
5414230044311431230
611035240254242424
7463322064251464
oct60506245574720
912745127710227
103342333311440
111079526024482
1245b9247b6414
131b3246c4a506
14b7aac4664a4
155be1d68b27a
hex30a3296f9d0

3342333311440 has 80 divisors (see below), whose sum is σ = 7858970386560. Its totient is φ = 1321834856960.

The previous prime is 3342333311413. The next prime is 3342333311453. The reversal of 3342333311440 is 441133332433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33423333114402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3342333311396 and 3342333311405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3973485 + ... + 4740595.

It is an arithmetic number, because the mean of its divisors is an integer number (98237129832).

Almost surely, 23342333311440 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 3342333311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929485193280).

3342333311440 is an abundant number, since it is smaller than the sum of its proper divisors (4516637075120).

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

3342333311440 is a wasteful number, since it uses less digits than its factorization.

3342333311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767740 (or 767734 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 3342333311440 its reverse (441133332433), we get a palindrome (3783466643873).

The spelling of 3342333311440 in words is "three trillion, three hundred forty-two billion, three hundred thirty-three million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 509 535 856 1018 1070 1712 2036 2140 2545 4072 4280 5090 8144 8560 10180 20360 40720 54463 108926 217852 272315 435704 544630 767111 871408 1089260 1534222 2178520 3068444 3835555 4357040 6136888 7671110 12273776 15342220 30684440 61368880 82080877 164161754 328323508 390459499 410404385 656647016 780918998 820808770 1313294032 1561837996 1641617540 1952297495 3123675992 3283235080 3904594990 6247351984 6566470160 7809189980 15618379960 31236759920 41779166393 83558332786 167116665572 208895831965 334233331144 417791663930 668466662288 835583327860 1671166655720 3342333311440