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44214455441244 = 22311550061608947
BaseRepresentation
bin10100000110110011110101…
…11010010001011101011100
312210112212020102100220020210
422003121322322101131130
521243402201043104434
6234011501310412420
712212250265163334
oct1203317272213534
9183485212326223
1044214455441244
11130a72774788a0
124b61083801110
131b8953647479a
14acbdc368a0c4
1551a1bd244ee9
hex28367ae9175c

44214455441244 has 48 divisors (see below), whose sum is σ = 112546276004736. Its totient is φ = 13398273470400.

The previous prime is 44214455441231. The next prime is 44214455441251.

It is a happy number.

44214455441244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44214455441193 and 44214455441202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72303579 + ... + 72912525.

It is an arithmetic number, because the mean of its divisors is an integer number (2344714083432).

Almost surely, 244214455441244 is an apocalyptic number.

44214455441244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44214455441244 is an abundant number, since it is smaller than the sum of its proper divisors (68331820563492).

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

44214455441244 is a wasteful number, since it uses less digits than its factorization.

44214455441244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159026 (or 1159024 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 48.

It can be divided in two parts, 4421445 and 5441244, that added together give a palindrome (9862689).

The spelling of 44214455441244 in words is "forty-four trillion, two hundred fourteen billion, four hundred fifty-five million, four hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 550061 608947 1100122 1217894 1650183 1826841 2200244 2435788 3300366 3653682 6050671 6600732 6698417 7307364 12101342 13396834 18152013 20095251 24202684 26793668 36304026 40190502 72608052 80381004 334957995767 669915991534 1004873987301 1339831983068 2009747974602 3684537953437 4019495949204 7369075906874 11053613860311 14738151813748 22107227720622 44214455441244