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1416386312 = 23113197001
BaseRepresentation
bin101010001101100…
…0101011100001000
310122201011212202022
41110123011130020
510400043330222
6352314024012
750046041105
oct12433053410
93581155668
101416386312
11667571000
12336418008
13197598113
14d6179aac
1584530042
hex546c5708

1416386312 has 64 divisors (see below), whose sum is σ = 3075278400. Its totient is φ = 609840000.

The previous prime is 1416386261. The next prime is 1416386329. The reversal of 1416386312 is 2136836141.

It is a super-2 number, since 2×14163863122 = 4012300369641922688, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 198812 + ... + 205812.

It is an arithmetic number, because the mean of its divisors is an integer number (48051225).

Almost surely, 21416386312 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 1416386312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537639200).

1416386312 is an abundant number, since it is smaller than the sum of its proper divisors (1658892088).

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

1416386312 is a wasteful number, since it uses less digits than its factorization.

1416386312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7033 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 1416386312 is about 37634.9081571883. The cubic root of 1416386312 is about 1123.0365916807.

The spelling of 1416386312 in words is "one billion, four hundred sixteen million, three hundred eighty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1331 1672 2299 2662 4598 5324 7001 9196 10648 14002 18392 25289 28004 50578 56008 77011 101156 133019 154022 202312 266038 308044 532076 616088 847121 1064152 1463209 1694242 2926418 3388484 5852836 6776968 9318331 11705672 16095299 18636662 32190598 37273324 64381196 74546648 128762392 177048289 354096578 708193156 1416386312