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440116042301664 = 25338995311756653
BaseRepresentation
bin110010000010010001000000…
…0010111001000000011100000
32010201022200102201020211110220
41210010202000113020003200
5430141330123312123124
64200014304004323040
7161463222546210351
oct14404420027100340
92121280381224426
10440116042301664
11118264190094513
12414415300a3480
1315b769c309c531
147a97a315a7d28
1535d3665634879
hex19048805c80e0

440116042301664 has 48 divisors (see below), whose sum is σ = 1155307671986832. Its totient is φ = 146704958742528.

The previous prime is 440116042301627. The next prime is 440116042301713. The reversal of 440116042301664 is 466103240611044.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31557162 + ... + 43313814.

It is an arithmetic number, because the mean of its divisors is an integer number (24068909833059).

Almost surely, 2440116042301664 is an apocalyptic number.

It is an amenable number.

440116042301664 is an abundant number, since it is smaller than the sum of its proper divisors (715191629685168).

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

440116042301664 is a wasteful number, since it uses less digits than its factorization.

440116042301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12146619 (or 12146611 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 440116042301664 in words is "four hundred forty trillion, one hundred sixteen billion, forty-two million, three hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 389953 779906 1169859 1559812 2339718 3119624 4679436 6239248 9358872 11756653 12478496 18717744 23513306 35269959 37435488 47026612 70539918 94053224 141079836 188106448 282159672 376212896 564319344 1128638688 4584542107309 9169084214618 13753626321927 18338168429236 27507252643854 36676336858472 55014505287708 73352673716944 110029010575416 146705347433888 220058021150832 440116042301664