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332044014130392 = 233373547275324631
BaseRepresentation
bin100101101111111100000010…
…1100000110001010011011000
31121112200002122020211200111210
41023133320011200301103120
5322010202120104133032
63134110525252023120
7126640250131463244
oct11337700540612330
91545602566750453
10332044014130392
1196888091674a33
12312a8430601aa0
1311337801988c65
145bdd031dd1424
15285c3607142cc
hex12dfe058314d8

332044014130392 has 128 divisors (see below), whose sum is σ = 834193925199360. Its totient is φ = 110138310696960.

The previous prime is 332044014130363. The next prime is 332044014130453. The reversal of 332044014130392 is 293031410440233.

It is a super-2 number, since 2×3320440141303922 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332044014130392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13480723917 + ... + 13480748547.

It is an arithmetic number, because the mean of its divisors is an integer number (6517140040620).

Almost surely, 2332044014130392 is an apocalyptic number.

It is an amenable number.

332044014130392 is an abundant number, since it is smaller than the sum of its proper divisors (502149911068968).

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

332044014130392 is a wasteful number, since it uses less digits than its factorization.

332044014130392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28313 (or 28309 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 332044014130392 in words is "three hundred thirty-two trillion, forty-four billion, fourteen million, one hundred thirty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 373 547 746 1094 1119 1492 1641 2188 2238 2753 2984 3282 4376 4476 5506 6564 8259 8952 11012 13128 16518 22024 24631 33036 49262 66072 73893 98524 147786 197048 204031 295572 408062 591144 612093 816124 1026869 1224186 1505891 1632248 2053738 2448372 3011782 3080607 4107476 4517673 4896744 6023564 6161214 8214952 9035346 9187363 12047128 12322428 13473157 18070692 18374726 24644856 26946314 27562089 36141384 36749452 40419471 53892628 55124178 67809143 73498904 80838942 107785256 110248356 135618286 161677884 203427429 220496712 271236572 323355768 406854858 542473144 561697343 813709716 1123394686 1627419432 1685092029 2246789372 3370184058 4493578744 5025487561 6740368116 10050975122 13480736232 15076462683 20101950244 25292810339 30152925366 37091601221 40203900488 50585620678 60305850732 74183202442 75878431017 101171241356 111274803663 120611701464 148366404884 151756862034 202342482712 222549607326 296732809768 303513724068 445099214652 607027448136 890198429304 13835167255433 27670334510866 41505501766299 55340669021732 83011003532598 110681338043464 166022007065196 332044014130392