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44435000053444 = 227111347236120263
BaseRepresentation
bin10100001101001110101000…
…11001001100111011000100
312211022221111112222000111011
422012213110121030323010
521311010340003202234
6234301053543052004
712234215503356040
oct1206472431147304
9184287445860434
1044435000053444
1113181861126240
124b97973741004
131ba4282c43610
14ad89460dd020
15520cca161b64
hex2869d464cec4

44435000053444 has 96 divisors (see below), whose sum is σ = 106628133298176. Its totient is φ = 15640606154880.

The previous prime is 44435000053439. The next prime is 44435000053463.

44435000053444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444350000534442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44435000053397 and 44435000053406.

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, 117871944 + ... + 118248319.

It is an arithmetic number, because the mean of its divisors is an integer number (1110709721856).

Almost surely, 244435000053444 is an apocalyptic number.

44435000053444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44435000053444 is an abundant number, since it is smaller than the sum of its proper divisors (62193133244732).

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

44435000053444 is a wasteful number, since it uses less digits than its factorization.

44435000053444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236120345 (or 236120343 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

The spelling of 44435000053444 in words is "forty-four trillion, four hundred thirty-five billion, fifty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 47 52 77 91 94 143 154 182 188 286 308 329 364 517 572 611 658 1001 1034 1222 1316 2002 2068 2444 3619 4004 4277 6721 7238 8554 13442 14476 17108 26884 47047 94094 188188 236120263 472240526 944481052 1652841841 2597322893 3069563419 3305683682 5194645786 6139126838 6611367364 10389291572 11097652361 12278253676 18181260251 21486943933 22195304722 33765197609 36362520502 42973887866 44390609444 67530395218 72725041004 77683566527 85947775732 122074175971 135060790436 144269480693 155367133054 236356383263 244148351942 288538961386 310734266108 472712766526 488296703884 577077922772 854519231797 945425533052 1009886364851 1586964287623 1709038463594 2019772729702 3173928575246 3418076927188 4039545459404 6347857150492 11108750013361 22217500026722 44435000053444