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44412311102304 = 2531924348854771
BaseRepresentation
bin10100001100100100011000…
…00001101110001101100000
312211020202221022200212201110
422012102030001232031200
521310122403120233204
6234242422320103320
712232453320434325
oct1206221401561540
9184222838625643
1044412311102304
1113173178877452
124b934a1164b40
131ba20a8450342
14ad77d2a5cb4c
155203ed2e4889
hex28648c06e360

44412311102304 has 48 divisors (see below), whose sum is σ = 122718228050880. Its totient is φ = 14024940347520.

The previous prime is 44412311102231. The next prime is 44412311102309. The reversal of 44412311102304 is 40320111321444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44412311102309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12174425562 + ... + 12174429209.

It is an arithmetic number, because the mean of its divisors is an integer number (2556629751060).

Almost surely, 244412311102304 is an apocalyptic number.

It is an amenable number.

44412311102304 is an abundant number, since it is smaller than the sum of its proper divisors (78305916948576).

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

44412311102304 is a wasteful number, since it uses less digits than its factorization.

44412311102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24348854803 (or 24348854795 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 44412311102304 its reverse (40320111321444), we get a palindrome (84732422423748).

The spelling of 44412311102304 in words is "forty-four trillion, four hundred twelve billion, three hundred eleven million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 24348854771 48697709542 73046564313 97395419084 146093128626 194790838168 292186257252 389581676336 462628240649 584372514504 779163352672 925256481298 1168745029008 1387884721947 1850512962596 2337490058016 2775769443894 3701025925192 5551538887788 7402051850384 11103077775576 14804103700768 22206155551152 44412311102304