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4422134312244 = 22321122344138363
BaseRepresentation
bin100000001011001101110…
…1111101010110100110100
3120122202022010212122011100
41000112123233222310310
51034423012340442434
613223300033210100
7634326416313525
oct100263357526464
916582263778140
104422134312244
111455464597400
125b5057a00930
1326100c05424c
1411406504684c
157a06abb3699
hex4059bbead34

4422134312244 has 108 divisors (see below), whose sum is σ = 12820958867808. Its totient is φ = 1281778032480.

The previous prime is 4422134312237. The next prime is 4422134312293.

4422134312244 is a `hidden beast` number, since 4 + 4 + 2 + 213 + 431 + 2 + 2 + 4 + 4 = 666.

4422134312244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4422134312199 and 4422134312208.

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, 21968994 + ... + 22169369.

Almost surely, 24422134312244 is an apocalyptic number.

4422134312244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4422134312244 is an abundant number, since it is smaller than the sum of its proper divisors (8398824555564).

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

4422134312244 is a wasteful number, since it uses less digits than its factorization.

4422134312244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44138418 (or 44138402 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 4422134312244 in words is "four trillion, four hundred twenty-two billion, one hundred thirty-four million, three hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 121 132 138 198 207 242 253 276 363 396 414 484 506 726 759 828 1012 1089 1452 1518 2178 2277 2783 3036 4356 4554 5566 8349 9108 11132 16698 25047 33396 50094 100188 44138363 88276726 132415089 176553452 264830178 397245267 485521993 529660356 794490534 971043986 1015182349 1456565979 1588981068 1942087972 2030364698 2913131958 3045547047 4060729396 4369697937 5340741923 5826263916 6091094094 8739395874 9136641141 10681483846 11167005839 12182188188 16022225769 17478791748 18273282282 21362967692 22334011678 32044451538 33501017517 36546564564 44668023356 48066677307 64088903076 67002035034 96133354614 100503052551 122837064229 134004070068 192266709228 201006105102 245674128458 368511192687 402012210204 491348256916 737022385374 1105533578061 1474044770748 2211067156122 4422134312244