Search a number
-
+
1114110202304 = 261131337151483
BaseRepresentation
bin10000001101100110001…
…001001001000111000000
310221111201020220022110002
4100031212021021013000
5121223144202433204
62211452024055132
7143330455316411
oct20154611110700
93844636808402
101114110202304
1139a545189910
1215bb093044a8
13810a21905c8
143bccd469808
151dea960191e
hex103662491c0

1114110202304 has 112 divisors (see below), whose sum is σ = 2496999238656. Its totient is φ = 488620339200.

The previous prime is 1114110202259. The next prime is 1114110202357. The reversal of 1114110202304 is 4032020114111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7278947 + ... + 7430429.

Almost surely, 21114110202304 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 1114110202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248499619328).

1114110202304 is an abundant number, since it is smaller than the sum of its proper divisors (1382889036352).

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

1114110202304 is a wasteful number, since it uses less digits than its factorization.

1114110202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151874 (or 151864 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1114110202304 its reverse (4032020114111), we get a palindrome (5146130316415).

The spelling of 1114110202304 in words is "one trillion, one hundred fourteen billion, one hundred ten million, two hundred two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 337 341 352 496 674 682 704 992 1348 1364 1984 2696 2728 3707 5392 5456 7414 10447 10784 10912 14828 20894 21568 21824 29656 41788 59312 83576 114917 118624 151483 167152 229834 237248 302966 334304 459668 605932 668608 919336 1211864 1666313 1838672 2423728 3332626 3677344 4695973 4847456 6665252 7354688 9391946 9694912 13330504 18783892 26661008 37567784 51049771 51655703 53322016 75135568 102099542 103311406 106644032 150271136 204199084 206622812 300542272 408398168 413245624 561547481 816796336 826491248 1123094962 1582542901 1633592672 1652982496 2246189924 3165085802 3267185344 3305964992 4492379848 6330171604 8984759696 12660343208 17407971911 17969519392 25320686416 34815943822 35939038784 50641372832 69631887644 101282745664 139263775288 278527550576 557055101152 1114110202304