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47114439440 = 2457311536997
BaseRepresentation
bin101011111000001111…
…010100101100010000
311111121111010111200112
4223320033110230100
51232442244030230
633351041540452
73255353061515
oct537017245420
9144544114615
1047114439440
1118a87966762
12916a644728
13459acb6443
1423cd3d730c
15135b3a8d95
hexaf83d4b10

47114439440 has 80 divisors (see below), whose sum is σ = 111153824688. Its totient is φ = 18568839168.

The previous prime is 47114439431. The next prime is 47114439469. The reversal of 47114439440 is 4493441174.

It can be written as a sum of positive squares in 8 ways, for example, as 30647296 + 47083792144 = 5536^2 + 216988^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 6730022 + ... + 6737018.

Almost surely, 247114439440 is an apocalyptic number.

47114439440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47114439440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55576912344).

47114439440 is an abundant number, since it is smaller than the sum of its proper divisors (64039385248).

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

47114439440 is a wasteful number, since it uses less digits than its factorization.

47114439440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 47114439440 in words is "forty-seven billion, one hundred fourteen million, four hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1153 1168 1460 2306 2920 4612 5765 5840 6997 9224 11530 13994 18448 23060 27988 34985 46120 55976 69970 84169 92240 111952 139940 168338 279880 336676 420845 510781 559760 673352 841690 1021562 1346704 1683380 2043124 2553905 3366760 4086248 5107810 6733520 8067541 8172496 10215620 16135082 20431240 32270164 40337705 40862480 64540328 80675410 129080656 161350820 322701640 588930493 645403280 1177860986 2355721972 2944652465 4711443944 5889304930 9422887888 11778609860 23557219720 47114439440