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1114456668 = 2231347971567
BaseRepresentation
bin100001001101101…
…0100001001011100
32212200001021010220
41002123110021130
54240300103133
6302330401340
736421503543
oct10233241134
92780037126
101114456668
11522099876
12271290250
13149b72c20
14a802315a
1567c8e5b3
hex426d425c

1114456668 has 96 divisors (see below), whose sum is σ = 2891341824. Its totient is φ = 331941888.

The previous prime is 1114456663. The next prime is 1114456669. The reversal of 1114456668 is 8666544111.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114456663) by changing a digit.

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, 710421 + ... + 711987.

It is an arithmetic number, because the mean of its divisors is an integer number (30118144).

Almost surely, 21114456668 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 1114456668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445670912).

1114456668 is an abundant number, since it is smaller than the sum of its proper divisors (1776885156).

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

1114456668 is a wasteful number, since it uses less digits than its factorization.

1114456668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1729 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1114456668 is about 33383.4789678967. The cubic root of 1114456668 is about 1036.7826693503.

The spelling of 1114456668 in words is "one billion, one hundred fourteen million, four hundred fifty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 97 141 156 188 194 282 291 388 564 582 611 1164 1222 1261 1567 1833 2444 2522 3134 3666 3783 4559 4701 5044 6268 7332 7566 9118 9402 13677 15132 18236 18804 20371 27354 40742 54708 59267 61113 73649 81484 118534 122226 147298 151999 177801 220947 237068 244452 294596 303998 355602 441894 455997 607996 711204 883788 911994 957437 1823988 1914874 1975987 2872311 3829748 3951974 5744622 5927961 7143953 7903948 11489244 11855922 14287906 21431859 23711844 28575812 42863718 85727436 92871389 185742778 278614167 371485556 557228334 1114456668