Search a number
-
+
44478020048 = 2471179456991
BaseRepresentation
bin101001011011000110…
…001011100111010000
311020210202020112011212
4221123012023213100
51212042333120143
632233302155252
73133130634560
oct513306134720
9136722215155
1044478020048
1117954756860
128753722b28
13426aa31677
14221d1d4da0
151254bd2918
hexa5b18b9d0

44478020048 has 80 divisors (see below), whose sum is σ = 108800655360. Its totient is φ = 17109705600.

The previous prime is 44478020047. The next prime is 44478020063. The reversal of 44478020048 is 84002087444.

It is a junction number, because it is equal to n+sod(n) for n = 44478019987 and 44478020014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44478020047) 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 15 ways as a sum of consecutive naturals, for example, 131168 + ... + 325823.

It is an arithmetic number, because the mean of its divisors is an integer number (1360008192).

Almost surely, 244478020048 is an apocalyptic number.

It is an amenable number.

44478020048 is an abundant number, since it is smaller than the sum of its proper divisors (64322635312).

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

44478020048 is a wasteful number, since it uses less digits than its factorization.

44478020048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457096 (or 457090 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 41.

The spelling of 44478020048 in words is "forty-four billion, four hundred seventy-eight million, twenty thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 79 88 112 154 158 176 308 316 553 616 632 869 1106 1232 1264 1738 2212 3476 4424 6083 6952 8848 12166 13904 24332 48664 97328 456991 913982 1827964 3198937 3655928 5026901 6397874 7311856 10053802 12795748 20107604 25591496 35188307 36102289 40215208 51182992 70376614 72204578 80430416 140753228 144409156 252716023 281506456 288818312 397125179 505432046 563012912 577636624 794250358 1010864092 1588500716 2021728184 2779876253 3177001432 4043456368 5559752506 6354002864 11119505012 22239010024 44478020048