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4400142320412 = 22323121030112347
BaseRepresentation
bin100000000000111110011…
…1010111000001100011100
3120120122112111001200211100
41000001330322320030130
51034042442413223122
613205221504353100
7632620425420336
oct100017472701434
916518474050740
104400142320412
1114470a96a0443
125b093a915790
1325bc15a77327
14112d7a38c456
15796d0117aac
hex4007ceb831c

4400142320412 has 108 divisors (see below), whose sum is σ = 11494995541848. Its totient is φ = 1419148008000.

The previous prime is 4400142320407. The next prime is 4400142320471. The reversal of 4400142320412 is 2140232410044.

4400142320412 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 14 + 232 + 0 + 412 = 666.

It is a super-2 number, since 2×44001423204122 (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 35 ways as a sum of consecutive naturals, for example, 356367223 + ... + 356379569.

It is an arithmetic number, because the mean of its divisors is an integer number (106435143906).

Almost surely, 24400142320412 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 4400142320412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747497770924).

4400142320412 is an abundant number, since it is smaller than the sum of its proper divisors (7094853221436).

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

4400142320412 is a wasteful number, since it uses less digits than its factorization.

4400142320412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22720 (or 22684 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4400142320412 its reverse (2140232410044), we get a palindrome (6540374730456).

The spelling of 4400142320412 in words is "four trillion, four hundred billion, one hundred forty-two million, three hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 5766 8649 10301 11532 12347 17298 20602 24694 30903 34596 37041 41204 49388 61806 74082 92709 111123 123612 148164 185418 222246 319331 370836 382757 444492 638662 765514 957993 1148271 1277324 1531028 1915986 2296542 2873979 3444813 3831972 4593084 5747958 6889626 9899261 11495916 11865467 13779252 19798522 23730934 29697783 35596401 39597044 47461868 59395566 71192802 89093349 106789203 118791132 127186447 142385604 178186698 213578406 254372894 356373396 381559341 427156812 508745788 763118682 1144678023 1526237364 2289356046 3942779857 4578712092 7885559714 11828339571 15771119428 23656679142 35485018713 47313358284 70970037426 122226175567 141940074852 244452351134 366678526701 488904702268 733357053402 1100035580103 1466714106804 2200071160206 4400142320412