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22114134433144 = 2313979397233279
BaseRepresentation
bin1010000011100110110010…
…01000001001110101111000
32220022002110001101022001101
411001303121020021311320
510344304221403330034
6115011032040101144
74441456603140235
oct501633110116570
986262401338041
1022114134433144
117056608411826
122591a4aa647b4
13c4547a774c40
1456648903a78c
1528538cdd8514
hex141cd9209d78

22114134433144 has 64 divisors (see below), whose sum is σ = 45118880755200. Its totient is φ = 10100183445504.

The previous prime is 22114134433141. The next prime is 22114134433151. The reversal of 22114134433144 is 44133443141122.

It is a super-3 number, since 3×221141344331443 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22114134433141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94680297 + ... + 94913575.

It is an arithmetic number, because the mean of its divisors is an integer number (704982511800).

Almost surely, 222114134433144 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 22114134433144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22559440377600).

22114134433144 is an abundant number, since it is smaller than the sum of its proper divisors (23004746322056).

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

22114134433144 is a wasteful number, since it uses less digits than its factorization.

22114134433144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242792 (or 242788 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

Adding to 22114134433144 its reverse (44133443141122), we get a palindrome (66247577574266).

The spelling of 22114134433144 in words is "twenty-two trillion, one hundred fourteen billion, one hundred thirty-four million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 2522 5044 9397 10088 18794 37588 75176 122161 233279 244322 466558 488644 911509 933116 977288 1823018 1866232 3032627 3646036 6065254 7292072 11849617 12130508 22628063 23699234 24261016 45256126 47398468 90512252 94796936 181024504 294164819 588329638 1176659276 2192122763 2353318552 4384245526 8768491052 17536982104 28497595919 56995191838 113990383676 212635908011 227980767352 425271816022 850543632044 1701087264088 2764266804143 5528533608286 11057067216572 22114134433144