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4445188815444 = 22313194013373717
BaseRepresentation
bin100000010101111100111…
…1001100111101001010100
3120201221210211222202002020
41000223321321213221110
51040312221314043234
613242031435213140
7636103631334546
oct100537171475124
916657724882066
104445188815444
111464215222933
125b96108a71b0
132632444b7410
14115210c81696
157a969b8c549
hex40af9e67a54

4445188815444 has 96 divisors (see below), whose sum is σ = 11760815767680. Its totient is φ = 1295437183488.

The previous prime is 4445188815409. The next prime is 4445188815469.

4445188815444 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11707674 + ... + 12081390.

It is an arithmetic number, because the mean of its divisors is an integer number (122508497580).

Almost surely, 24445188815444 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 4445188815444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880407883840).

4445188815444 is an abundant number, since it is smaller than the sum of its proper divisors (7315626952236).

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

4445188815444 is a wasteful number, since it uses less digits than its factorization.

4445188815444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377769 (or 377767 counting only the distinct ones).

The product of its digits is 52428800, while the sum is 60.

The spelling of 4445188815444 in words is "four trillion, four hundred forty-five billion, one hundred eighty-eight million, eight hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 4013 8026 12039 16052 24078 48156 52169 76247 104338 152494 156507 208676 228741 304988 313014 373717 457482 626028 747434 914964 991211 1121151 1494868 1982422 2242302 2973633 3964844 4484604 4858321 5947266 7100623 9716642 11894532 14201246 14574963 19433284 21301869 28402492 29149926 42603738 58299852 85207476 92308099 184616198 276924297 369232396 553848594 1107697188 1499726321 2999452642 4499178963 5998905284 8998357926 17996715852 19496442173 28494800099 38992884346 56989600198 58489326519 77985768692 85484400297 113979200396 116978653038 170968800594 233957306076 341937601188 370432401287 740864802574 1111297203861 1481729605148 2222594407722 4445188815444