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44231422413244 = 22113241337102293
BaseRepresentation
bin10100000111010011011100…
…01110001000100110111100
312210121111000212201101021011
422003221232032020212330
521244141423114210434
6234023345051445004
712213420611105113
oct1203515616104674
9183544025641234
1044231422413244
1113103493929000
124b64419a56764
131b8b00b6728a1
14accb52c0cc7a
1551a862a95e64
hex283a6e3889bc

44231422413244 has 96 divisors (see below), whose sum is σ = 85747475765952. Its totient is φ = 19962161049600.

The previous prime is 44231422413221. The next prime is 44231422413271.

44231422413244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×442314224132443 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44231422413197 and 44231422413206.

It is a congruent number.

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, 432348162 + ... + 432450454.

It is an arithmetic number, because the mean of its divisors is an integer number (893202872562).

Almost surely, 244231422413244 is an apocalyptic number.

44231422413244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44231422413244 is a deficient number, since it is larger than the sum of its proper divisors (41516053352708).

44231422413244 is a wasteful number, since it uses less digits than its factorization.

44231422413244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102908 (or 102884 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 4423142 and 2413244, that added together give a palindrome (6836386).

The spelling of 44231422413244 in words is "forty-four trillion, two hundred thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 121 241 242 337 482 484 674 964 1331 1348 2651 2662 3707 5302 5324 7414 10604 14828 29161 40777 58322 81217 81554 102293 116644 162434 163108 204586 320771 324868 409172 448547 641542 893387 897094 1125223 1283084 1786774 1794188 2250446 3573548 4500892 9827257 12377453 19654514 24652613 24754906 34472741 39309028 49305226 49509812 68945482 98610452 108099827 136151983 137890964 216199654 271178743 272303966 379200151 432399308 542357486 544607932 758400302 1084714972 1516800604 2982966173 4171201661 5965932346 8307930581 8342403322 11931864692 16615861162 16684806644 32812627903 33231722324 45883218271 65625255806 91387236391 91766436542 131250511612 182774472782 183532873084 365548945564 1005259600301 2010519200602 4021038401204 11057855603311 22115711206622 44231422413244