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44336122163344 = 24112919934358527
BaseRepresentation
bin10100001010010110011101…
…10011111111000010010000
312210222111021120202202122101
422011023032303333002100
521302400334233211334
6234143422222450144
712224115303231004
oct1205131663770220
9183874246682571
1044336122163344
11131439311369a0
124b80779733954
131b97b55a5643b
14ad3c460d4704
1551d43e6c9214
hex2852cecff090

44336122163344 has 80 divisors (see below), whose sum is σ = 96990497925120. Its totient is φ = 19448091694080.

The previous prime is 44336122163341. The next prime is 44336122163413.

44336122163344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44336122163294 and 44336122163303.

It is not an unprimeable number, because it can be changed into a prime (44336122163341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7993009 + ... + 12351535.

It is an arithmetic number, because the mean of its divisors is an integer number (1212381224064).

Almost surely, 244336122163344 is an apocalyptic number.

44336122163344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44336122163344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48495248962560).

44336122163344 is an abundant number, since it is smaller than the sum of its proper divisors (52654375761776).

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

44336122163344 is a wasteful number, since it uses less digits than its factorization.

44336122163344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360568 (or 4360562 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 46.

It can be divided in two parts, 4433612 and 2163344, that added together give a palindrome (6596956).

The spelling of 44336122163344 in words is "forty-four trillion, three hundred thirty-six billion, one hundred twenty-two million, one hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 1993 2552 3986 5104 7972 15944 21923 31888 43846 57797 87692 115594 175384 231188 350768 462376 635767 924752 1271534 2543068 4358527 5086136 8717054 10172272 17434108 34868216 47943797 69736432 95887594 126397283 191775188 252794566 383550376 505589132 767100752 1011178264 1390370113 2022356528 2780740226 5561480452 8686544311 11122960904 17373088622 22245921808 34746177244 69492354488 95551987421 138984708976 191103974842 251909785019 382207949684 503819570038 764415899368 1007639140076 1528831798736 2015278280152 2771007635209 4030556560304 5542015270418 11084030540836 22168061081672 44336122163344