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4442112313312 = 252113073376359
BaseRepresentation
bin100000010100100001010…
…0001101100011111100000
3120201122212110000020112211
41000221002201230133200
51040234421223011222
613240402255131504
7635634453444562
oct100510241543740
916648773006484
104442112313312
111462986660293
125b8ab2513b94
13262b73cc895b
14114ddc443332
157a839a36277
hex40a4286c7e0

4442112313312 has 96 divisors (see below), whose sum is σ = 8843026832640. Its totient is φ = 2196445870080.

The previous prime is 4442112313307. The next prime is 4442112313337. The reversal of 4442112313312 is 2133132112444.

It is a happy number.

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, 698551989 + ... + 698558347.

It is an arithmetic number, because the mean of its divisors is an integer number (92114862840).

Almost surely, 24442112313312 is an apocalyptic number.

It is an amenable number.

4442112313312 is a deficient number, since it is larger than the sum of its proper divisors (4400914519328).

4442112313312 is a wasteful number, since it uses less digits than its factorization.

4442112313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7216 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

Adding to 4442112313312 its reverse (2133132112444), we get a palindrome (6575244425756).

The spelling of 4442112313312 in words is "four trillion, four hundred forty-two billion, one hundred twelve million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 211 307 337 422 614 674 844 1228 1348 1688 2456 2696 3376 4912 5392 6359 6752 9824 10784 12718 25436 50872 64777 71107 101744 103459 129554 142214 203488 206918 259108 284428 413836 518216 568856 827672 1036432 1137712 1341749 1655344 1952213 2072864 2142983 2275424 2683498 3310688 3904426 4285966 5366996 7808852 8571932 10733992 15617704 17143864 21467984 21829849 31235408 34287728 42935968 43659698 62470816 68575456 87319396 174638792 349277584 411916943 452169413 657895781 698555168 823833886 904338826 1315791562 1647667772 1808677652 2631583124 3295335544 3617355304 5263166248 6590671088 7234710608 10526332496 13181342176 14469421216 21052664992 138816009791 277632019582 555264039164 1110528078328 2221056156656 4442112313312