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1114412411024 = 241137197868691
BaseRepresentation
bin10000001101111000001…
…001111110100010010000
310221112111022120002212122
4100031320021332202100
5121224304034123044
62211542021313412
7143341115125403
oct20157011764220
93845438502778
101114412411024
1139a68a831790
1215bb92565868
138111c982833
143bd1b655d3a
151dec5de9dee
hex1037827e890

1114412411024 has 80 divisors (see below), whose sum is σ = 2431406362176. Its totient is φ = 490358131200.

The previous prime is 1114412410997. The next prime is 1114412411039. The reversal of 1114412411024 is 4201142144111.

It is a junction number, because it is equal to n+sod(n) for n = 1114412410984 and 1114412411002.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 848519 + ... + 1717209.

Almost surely, 21114412411024 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 1114412411024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215703181088).

1114412411024 is an abundant number, since it is smaller than the sum of its proper divisors (1316993951152).

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

1114412411024 is a wasteful number, since it uses less digits than its factorization.

1114412411024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868944 (or 868938 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 1114412411024 its reverse (4201142144111), we get a palindrome (5315554555135).

The spelling of 1114412411024 in words is "one trillion, one hundred fourteen billion, four hundred twelve million, four hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 197 296 394 407 592 788 814 1576 1628 2167 3152 3256 4334 6512 7289 8668 14578 17336 29156 34672 58312 80179 116624 160358 320716 641432 868691 1282864 1737382 3474764 6949528 9555601 13899056 19111202 32141567 38222404 64283134 76444808 128566268 152889616 171132127 257132536 342264254 353557237 514265072 684528508 707114474 1369057016 1414228948 1882453397 2738114032 2828457896 3764906794 5656915792 6331888699 7529813588 12663777398 15059627176 25327554796 30119254352 50655109592 69650775689 101310219184 139301551378 278603102756 557206205512 1114412411024