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4414384716 = 2237254113877
BaseRepresentation
bin1000001110001111…
…00010101001001100
3102101122102222102020
410013013202221030
533020040302331
62010011330140
7214251436200
oct40707425114
912348388366
104414384716
111965894635
12a32450950
1355472b581
142dc3c0b00
151ac82ac96
hex1071e2a4c

4414384716 has 72 divisors (see below), whose sum is σ = 12004914096. Its totient is φ = 1258830720.

The previous prime is 4414384697. The next prime is 4414384753. The reversal of 4414384716 is 6174834144.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 311170 + ... + 325046.

It is an arithmetic number, because the mean of its divisors is an integer number (166734918).

Almost surely, 24414384716 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 4414384716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002457048).

4414384716 is an abundant number, since it is smaller than the sum of its proper divisors (7590529380).

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

4414384716 is a wasteful number, since it uses less digits than its factorization.

4414384716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14439 (or 14430 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 4414384716 is about 66440.8362078624. The cubic root of 4414384716 is about 1640.4263114409.

The spelling of 4414384716 in words is "four billion, four hundred fourteen million, three hundred eighty-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 541 588 1082 1623 2164 3246 3787 6492 7574 11361 13877 15148 22722 26509 27754 41631 45444 53018 55508 79527 83262 97139 106036 159054 166524 194278 291417 318108 388556 582834 679973 1165668 1359946 2039919 2719892 4079838 7507457 8159676 15014914 22522371 30029828 45044742 52552199 90089484 105104398 157656597 210208796 315313194 367865393 630626388 735730786 1103596179 1471461572 2207192358 4414384716