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1114440444 = 223413377151
BaseRepresentation
bin100001001101101…
…0000001011111100
32212200000102220000
41002123100023330
54240244043234
6302330154300
736421405335
oct10233201374
92780012800
101114440444
11522088667
12271282990
13149b68720
14a801b28c
1567c89899
hex426d02fc

1114440444 has 120 divisors (see below), whose sum is σ = 3222719808. Its totient is φ = 333590400.

The previous prime is 1114440401. The next prime is 1114440461. The reversal of 1114440444 is 4440444111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152269 + ... + 159419.

Almost surely, 21114440444 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 1114440444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611359904).

1114440444 is an abundant number, since it is smaller than the sum of its proper divisors (2108279364).

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

1114440444 is a wasteful number, since it uses less digits than its factorization.

1114440444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7206 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1114440444 is about 33383.2359725656. The cubic root of 1114440444 is about 1036.7776382458. Note that the first 3 decimals are identical.

Adding to 1114440444 its reverse (4440444111), we get a palindrome (5554884555).

The spelling of 1114440444 in words is "one billion, one hundred fourteen million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 108 111 117 148 156 162 222 234 324 333 351 444 468 481 666 702 962 999 1053 1332 1404 1443 1924 1998 2106 2886 2997 3996 4212 4329 5772 5994 7151 8658 11988 12987 14302 17316 21453 25974 28604 38961 42906 51948 64359 77922 85812 92963 128718 155844 185926 193077 257436 264587 278889 371852 386154 529174 557778 579231 772308 793761 836667 1058348 1115556 1158462 1587522 1673334 2316924 2381283 2510001 3175044 3346668 3439631 4762566 5020002 6879262 7143849 7530003 9525132 10040004 10318893 13758524 14287698 15060006 20637786 21431547 28575396 30120012 30956679 41275572 42863094 61913358 85726188 92870037 123826716 185740074 278610111 371480148 557220222 1114440444