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3213323040444 = 22311216725751563
BaseRepresentation
bin101110110000101000111…
…110100111011010111100
3102101012011000012112120220
4232300220332213122330
5410121341144243234
610500102532341340
7451104066116436
oct56605076473274
912335130175526
103213323040444
1110298430a3400
1243a91b474850
131a4027127b5a
14b17505d3656
15588bc67aa49
hex2ec28fa76bc

3213323040444 has 144 divisors (see below), whose sum is σ = 8323102819584. Its totient is φ = 964118650880.

The previous prime is 3213323040397. The next prime is 3213323040523. The reversal of 3213323040444 is 4440403233123.

It is a happy number.

It is a super-3 number, since 3×32133230404443 (a number of 38 digits) contains 333 as substring.

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

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, 62292607 + ... + 62344169.

It is an arithmetic number, because the mean of its divisors is an integer number (57799325136).

Almost surely, 23213323040444 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 3213323040444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161551409792).

3213323040444 is an abundant number, since it is smaller than the sum of its proper divisors (5109779779140).

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

3213323040444 is a wasteful number, since it uses less digits than its factorization.

3213323040444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52016 (or 52003 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 3213323040444 its reverse (4440403233123), we get a palindrome (7653726273567).

The spelling of 3213323040444 in words is "three trillion, two hundred thirteen billion, three hundred twenty-three million, forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 167 242 257 334 363 484 501 514 668 726 771 1002 1028 1452 1542 1837 2004 2827 3084 3674 5511 5654 7348 8481 11022 11308 16962 20207 22044 31097 33924 40414 42919 51563 60621 62194 80828 85838 93291 103126 121242 124388 128757 154689 171676 186582 206252 242484 257514 309378 373164 472109 515028 567193 618756 944218 1134386 1416327 1701579 1888436 2268772 2832654 3403158 5193199 5665308 6239123 6806316 8611021 10386398 12478246 13251691 15579597 17222042 18717369 20772796 24956492 25833063 26503382 31159194 34444084 37434738 39755073 51666126 53006764 62318388 74869476 79510146 94721231 103332252 145768601 159020292 189442462 284163693 291537202 378884924 437305803 568327386 583074404 874611606 1041933541 1136654772 1603454611 1749223212 2083867082 2213032397 3125800623 3206909222 4167734164 4426064794 4810363833 6251601246 6413818444 6639097191 8852129588 9620727666 12503202492 13278194382 19241455332 24343356367 26556388764 48686712734 73030069101 97373425468 146060138202 267776920037 292120276404 535553840074 803330760111 1071107680148 1606661520222 3213323040444