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44052000340352 = 272353932774581
BaseRepresentation
bin10100000010000101001111…
…10101001111100110000000
312202222022220122102200222012
422001002213311033212000
521233221444041342402
6233405113134032052
712164436430462514
oct1201024765174600
9182868818380865
1044052000340352
1113044391839034
124b356a5948628
131b77116699154
14ac41b1a92144
15515d60e9a452
hex2810a7d4f980

44052000340352 has 64 divisors (see below), whose sum is σ = 91592503284960. Its totient is φ = 21064433786880.

The previous prime is 44052000340343. The next prime is 44052000340391. The reversal of 44052000340352 is 25304300025044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14489702 + ... + 17264282.

Almost surely, 244052000340352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44052000340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45796251642480).

44052000340352 is an abundant number, since it is smaller than the sum of its proper divisors (47540502944608).

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

44052000340352 is a wasteful number, since it uses less digits than its factorization.

44052000340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780011 (or 2779999 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 44052000340352 its reverse (25304300025044), we get a palindrome (69356300365396).

The spelling of 44052000340352 in words is "forty-four trillion, fifty-two billion, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 5393 10786 21572 43144 86288 124039 172576 248078 345152 496156 690304 992312 1984624 2774581 3969248 5549162 7938496 11098324 15876992 22196648 44393296 63815363 88786592 127630726 177573184 255261452 355146368 510522904 1021045808 2042091616 4084183232 8168366464 14963315333 29926630666 59853261332 119706522664 239413045328 344156252659 478826090656 688312505318 957652181312 1376625010636 1915304362624 2753250021272 5506500042544 11013000085088 22026000170176 44052000340352