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44620664040 = 23325123946289
BaseRepresentation
bin101001100011100110…
…010100110011101000
311021011200122120221200
4221203212110303220
51212340342222130
632255355404200
73136512246351
oct514346246350
9137150576850
1044620664040
1117a18224357
128793453660
1342914562b4
142234126d28
1512624ac760
hexa63994ce8

44620664040 has 48 divisors (see below), whose sum is σ = 145017159300. Its totient is φ = 11898843648.

The previous prime is 44620664017. The next prime is 44620664051. The reversal of 44620664040 is 4046602644.

It is a happy number.

44620664040 is a `hidden beast` number, since 4 + 4 + 6 + 2 + 0 + 6 + 640 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43204948164 + 1415715876 = 207858^2 + 37626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44620663986 and 44620664004.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 61972785 + ... + 61973504.

Almost surely, 244620664040 is an apocalyptic number.

44620664040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44620664040 is an abundant number, since it is smaller than the sum of its proper divisors (100396495260).

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

44620664040 is a wasteful number, since it uses less digits than its factorization.

44620664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123946306 (or 123946299 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 44620664040 in words is "forty-four billion, six hundred twenty million, six hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 123946289 247892578 371838867 495785156 619731445 743677734 991570312 1115516601 1239462890 1487355468 1859194335 2231033202 2478925780 2974710936 3718388670 4462066404 4957851560 5577583005 7436777340 8924132808 11155166010 14873554680 22310332020 44620664040