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4414214420 = 22571110926297
BaseRepresentation
bin1000001110001101…
…11001000100010100
3102101122010022210222
410013012321010110
533020014330140
62010003533512
7214250126540
oct40706710424
912348108728
104414214420
1119657886a0
12a3238a298
1355469bbc5
142dc378a20
151ac7e55b5
hex1071b9114

4414214420 has 96 divisors (see below), whose sum is σ = 11663688960. Its totient is φ = 1363184640.

The previous prime is 4414214401. The next prime is 4414214477. The reversal of 4414214420 is 244124144.

It is a self number, because there is not a number n which added to its sum of digits gives 4414214420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154712 + ... + 181008.

It is an arithmetic number, because the mean of its divisors is an integer number (121496760).

Almost surely, 24414214420 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 4414214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831844480).

4414214420 is an abundant number, since it is smaller than the sum of its proper divisors (7249474540).

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

4414214420 is a wasteful number, since it uses less digits than its factorization.

4414214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26433 (or 26431 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4414214420 is about 66439.5546342689. The cubic root of 4414214420 is about 1640.4052166452.

Adding to 4414214420 its reverse (244124144), we get a palindrome (4658338564).

The spelling of 4414214420 in words is "four billion, four hundred fourteen million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 109 110 140 154 218 220 308 385 436 545 763 770 1090 1199 1526 1540 2180 2398 3052 3815 4796 5995 7630 8393 11990 15260 16786 23980 26297 33572 41965 52594 83930 105188 131485 167860 184079 262970 289267 368158 525940 578534 736316 920395 1157068 1446335 1840790 2024869 2866373 2892670 3681580 4049738 5732746 5785340 8099476 10124345 11465492 14331865 20064611 20248690 28663730 31530103 40129222 40497380 57327460 63060206 80258444 100323055 126120412 157650515 200646110 220710721 315301030 401292220 441421442 630602060 882842884 1103553605 2207107210 4414214420