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44060066006044 = 221173137393125471
BaseRepresentation
bin10100000010010100010001…
…00101010100010000011100
312210000002201202101222021011
422001022020211110100130
521233340003344143134
6233412525341145004
712165143336505034
oct1201121045242034
9183002652358234
1044060066006044
1113047850687050
124b37176b5b164
131b77b006c0cba
14ac4738d708c4
15516184117264
hex28128895441c

44060066006044 has 96 divisors (see below), whose sum is σ = 85914535698432. Its totient is φ = 19603016064000.

The previous prime is 44060066006041. The next prime is 44060066006051.

It is a happy number.

44060066006044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44060066005988 and 44060066006006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44060066006041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1729800229 + ... + 1729825699.

It is an arithmetic number, because the mean of its divisors is an integer number (894943080192).

Almost surely, 244060066006044 is an apocalyptic number.

44060066006044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44060066006044 is a deficient number, since it is larger than the sum of its proper divisors (41854469692388).

44060066006044 is a wasteful number, since it uses less digits than its factorization.

44060066006044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29627 (or 29625 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 44060066006044 in words is "forty-four trillion, sixty billion, sixty-six million, six thousand, forty-four", and thus it is an eban number.

Divisors: 1 2 4 11 22 44 73 137 146 274 292 548 803 1507 1606 3014 3212 3931 6028 7862 10001 15724 20002 25471 40004 43241 50942 86482 101884 110011 172964 220022 280181 286963 440044 538547 560362 573926 1077094 1120724 1147852 1859383 2154188 3156593 3489527 3718766 5924017 6313186 6979054 7437532 11848034 12626372 13958108 20453213 23696068 38384797 39313931 40906426 76769594 78627862 81812852 100126501 153539188 157255724 200253002 254735471 400506004 432453241 509470942 864906482 1018941884 1101391511 1729812964 2202783022 2802090181 4405566044 5604180362 7309234573 11208360724 13717330637 14618469146 27434661274 29236938292 54869322548 80401580303 150890637007 160803160606 301781274014 321606321212 603562548028 1001365136501 2002730273002 4005460546004 11015016501511 22030033003022 44060066006044