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44000044000044 = 223111952579333667
BaseRepresentation
bin10100000000100100011101…
…11111100010001100101100
312202210100210201102010221220
422000102032333202030230
521231344042231000134
6233325201405223340
712160620052044636
oct1200221677421454
9182710721363856
1044000044000044
111302434a839610
124b27605861b50
131b7225652a612
14ac18835cda56
1551481e9b9149
hex28048efe232c

44000044000044 has 96 divisors (see below), whose sum is σ = 117897450316800. Its totient is φ = 12631313482560.

The previous prime is 44000044000013. The next prime is 44000044000123.

44000044000044 is nontrivially palindromic in base 10.

44000044000044 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×440000440000443 (a number of 42 digits) contains 333 as substring.

44000044000044 is a modest number, since divided by 44000044 gives 44 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44000043999978 and 44000044000023.

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, 131701299 + ... + 132034965.

It is an arithmetic number, because the mean of its divisors is an integer number (1228098440800).

Almost surely, 244000044000044 is an apocalyptic number.

44000044000044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44000044000044 is an abundant number, since it is smaller than the sum of its proper divisors (73897406316756).

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

44000044000044 is a wasteful number, since it uses less digits than its factorization.

44000044000044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386283 (or 386281 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4400004 and 4000044, that added together give a palindrome (8400048).

The spelling of 44000044000044 in words is "forty-four trillion, forty-four million, forty-four", and thus it is an aban number and an eban number.

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 52579 105158 157737 210316 315474 333667 578369 630948 667334 999001 1001001 1156738 1334668 1735107 1998002 2002002 2313476 2997003 3470214 3670337 3996004 4004004 5994006 6339673 6940428 7340674 10989011 11011011 11988012 12679346 14681348 19019019 21978022 22022022 25358692 32967033 38038038 43956044 44044044 65934066 69736403 76076076 131868132 139472806 209209209 278945612 418418418 836836836 17543877193 35087754386 52631631579 70175508772 105263263158 192982649123 210526526316 333333666667 385965298246 578947947369 666667333334 771930596492 1000001000001 1157895894738 1333334666668 2000002000002 2315791789476 3666670333337 4000004000004 7333340666674 11000011000011 14666681333348 22000022000022 44000044000044