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444507247116372 = 2231124710696093077
BaseRepresentation
bin110010100010001101110100…
…0100100001000000001010100
32011021212110220022211012100110
41211010123220210020001110
5431230301320230210442
64213215451003243020
7162425405651243046
oct14504335044100124
92137773808735313
10444507247116372
111196a7512798600
1241a30595819470
1316104b1330793b
147baa3a096ba96
15365c9c0cb769c
hex19446e8908054

444507247116372 has 144 divisors (see below), whose sum is σ = 1165390370161920. Its totient is φ = 131709880600320.

The previous prime is 444507247116299. The next prime is 444507247116389. The reversal of 444507247116372 is 273611742705444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69906298 + ... + 75999374.

It is an arithmetic number, because the mean of its divisors is an integer number (8092988681680).

Almost surely, 2444507247116372 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 444507247116372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582695185080960).

444507247116372 is an abundant number, since it is smaller than the sum of its proper divisors (720883123045548).

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

444507247116372 is a wasteful number, since it uses less digits than its factorization.

444507247116372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094222 (or 6094209 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 57.

The spelling of 444507247116372 in words is "four hundred forty-four trillion, five hundred seven billion, two hundred forty-seven million, one hundred sixteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 121 132 141 188 242 282 363 484 517 564 726 1034 1069 1452 1551 2068 2138 3102 3207 4276 5687 6204 6414 11374 11759 12828 17061 22748 23518 34122 35277 47036 50243 68244 70554 100486 129349 141108 150729 200972 258698 301458 388047 517396 552673 602916 776094 1105346 1552188 1658019 2210692 3316038 6079403 6093077 6632076 12158806 12186154 18238209 18279231 24317612 24372308 36476418 36558462 67023847 72952836 73116924 134047694 201071541 268095388 286374619 402143082 572749238 737262317 804286164 859123857 1145498476 1474524634 1718247714 2211786951 2949049268 3150120809 3436495428 4423573902 6300241618 6513499313 8847147804 9450362427 12600483236 13026998626 18900724854 19540497939 26053997252 34651328899 37801449708 39080995878 69302657798 71648492443 78161991756 103953986697 138605315596 143296984886 207907973394 214945477329 286593969772 306134467711 415815946788 429890954658 612268935422 788133416873 859781909316 918403403133 1224537870844 1576266833746 1836806806266 2364400250619 3152533667492 3367479144821 3673613612532 4728800501238 6734958289642 9457601002476 10102437434463 13469916579284 20204874868926 37042270593031 40409749737852 74084541186062 111126811779093 148169082372124 222253623558186 444507247116372