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44842155804 = 223223443122251
BaseRepresentation
bin101001110000110011…
…001111111100011100
311021202010102112112100
4221300303033330130
51213314042441204
632333351005100
73145142015055
oct516063177434
9137663375470
1044842155804
11180212563a6
128835669790
1342c82c6a04
14225570172c
151276b5ea39
hexa70ccff1c

44842155804 has 72 divisors (see below), whose sum is σ = 118547275392. Its totient is φ = 14265108000.

The previous prime is 44842155791. The next prime is 44842155863. The reversal of 44842155804 is 40855124844.

44842155804 is a `hidden beast` number, since 4 + 48 + 4 + 21 + 5 + 580 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 44842155804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305679 + ... + 427929.

It is an arithmetic number, because the mean of its divisors is an integer number (1646489936).

Almost surely, 244842155804 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 44842155804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59273637696).

44842155804 is an abundant number, since it is smaller than the sum of its proper divisors (73705119588).

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

44842155804 is a wasteful number, since it uses less digits than its factorization.

44842155804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122727 (or 122722 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 44842155804 in words is "forty-four billion, eight hundred forty-two million, one hundred fifty-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 443 828 886 1329 1772 2658 3987 5316 7974 10189 15948 20378 30567 40756 61134 91701 122251 122268 183402 244502 366753 366804 489004 733506 1100259 1467012 2200518 2811773 4401036 5623546 8435319 11247092 16870638 25305957 33741276 50611914 54157193 101223828 108314386 162471579 216628772 324943158 487414737 649886316 974829474 1245615439 1949658948 2491230878 3736846317 4982461756 7473692634 11210538951 14947385268 22421077902 44842155804