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1416424110 = 235736411009
BaseRepresentation
bin101010001101100…
…1110101010101110
310122201020210121020
41110123032222232
510400101032420
6352314515010
750046256233
oct12433165256
93581223536
101416424110
11667597442
12336435a66
131975ac39a
14d618978a
158453b340
hex546ceaae

1416424110 has 64 divisors (see below), whose sum is σ = 3454781760. Its totient is φ = 371589120.

The previous prime is 1416424081. The next prime is 1416424117. The reversal of 1416424110 is 114246141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416424117) 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 31 ways as a sum of consecutive naturals, for example, 1403286 + ... + 1404294.

It is an arithmetic number, because the mean of its divisors is an integer number (53980965).

Almost surely, 21416424110 is an apocalyptic number.

1416424110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416424110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727390880).

1416424110 is an abundant number, since it is smaller than the sum of its proper divisors (2038357650).

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

1416424110 is a wasteful number, since it uses less digits than its factorization.

1416424110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1416424110 is about 37635.4103206010. The cubic root of 1416424110 is about 1123.0465814599.

The spelling of 1416424110 in words is "one billion, four hundred sixteen million, four hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 641 730 1009 1095 1282 1923 2018 2190 3027 3205 3846 5045 6054 6410 9615 10090 15135 19230 30270 46793 73657 93586 140379 147314 220971 233965 280758 368285 441942 467930 646769 701895 736570 1104855 1293538 1403790 1940307 2209710 3233845 3880614 6467690 9701535 19403070 47214137 94428274 141642411 236070685 283284822 472141370 708212055 1416424110