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5014443440 = 245233187911
BaseRepresentation
bin1001010101110001…
…00101010110110000
3110221110120010020102
410222320211112300
540232144142230
62145324531532
7235156031426
oct45270452660
913843503212
105014443440
112143582636
12b7b3b0ba8
1361bb47ac6
14357d81116
151e535b045
hex12ae255b0

5014443440 has 80 divisors (see below), whose sum is σ = 12558053376. Its totient is φ = 1856659200.

The previous prime is 5014443433. The next prime is 5014443479. The reversal of 5014443440 is 443444105.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13085 + ... + 100995.

Almost surely, 25014443440 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 5014443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279026688).

5014443440 is an abundant number, since it is smaller than the sum of its proper divisors (7543609936).

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

5014443440 is a wasteful number, since it uses less digits than its factorization.

5014443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87978 (or 87972 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 5014443440 is about 70812.7350128492. The cubic root of 5014443440 is about 1711.6208927791.

Adding to 5014443440 its reverse (443444105), we get a palindrome (5457887545).

The spelling of 5014443440 in words is "five billion, fourteen million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2480 2852 3565 5704 7130 11408 14260 28520 57040 87911 175822 351644 439555 703288 879110 1406576 1758220 2021953 2725241 3516440 4043906 5450482 7032880 8087812 10109765 10900964 13626205 16175624 20219530 21801928 27252410 32351248 40439060 43603856 54504820 62680543 80878120 109009640 125361086 161756240 218019280 250722172 313402715 501444344 626805430 1002888688 1253610860 2507221720 5014443440