Search a number
-
+
1411104202144 = 25713577839831
BaseRepresentation
bin10100100010001100010…
…111010101110110100000
311222220022021111201011221
4110202030113111312200
5141104420133432034
63000130300144424
7203643322546150
oct24421427256640
94886267451157
101411104202144
114a449a59775a
121a9593b38114
13a30b32b68a0
144c425282760
1526a8ce33bb4
hex1488c5d5da0

1411104202144 has 96 divisors (see below), whose sum is σ = 3425143954176. Its totient is φ = 557270876160.

The previous prime is 1411104202141. The next prime is 1411104202147. The reversal of 1411104202144 is 4412024011141.

It is an interprime number because it is at equal distance from previous prime (1411104202141) and next prime (1411104202147).

It is not an unprimeable number, because it can be changed into a prime (1411104202141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1260309 + ... + 2100139.

It is an arithmetic number, because the mean of its divisors is an integer number (35678582856).

Almost surely, 21411104202144 is an apocalyptic number.

1411104202144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411104202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712571977088).

1411104202144 is an abundant number, since it is smaller than the sum of its proper divisors (2014039752032).

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

1411104202144 is a wasteful number, since it uses less digits than its factorization.

1411104202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840438 (or 840430 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1411104202144 its reverse (4412024011141), we get a palindrome (5823128213285).

The spelling of 1411104202144 in words is "one trillion, four hundred eleven billion, one hundred four million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 577 728 1154 1456 2308 2912 4039 4616 7501 8078 9232 15002 16156 18464 30004 32312 52507 60008 64624 105014 120016 129248 210028 240032 420056 839831 840112 1679662 1680224 3359324 5878817 6718648 10917803 11757634 13437296 21835606 23515268 26874592 43671212 47030536 76424621 87342424 94061072 152849242 174684848 188122144 305698484 349369696 484582487 611396968 969164974 1222793936 1938329948 2445587872 3392077409 3876659896 6299572331 6784154818 7753319792 12599144662 13568309636 15506639584 25198289324 27136619272 44097006317 50396578648 54273238544 88194012634 100793157296 108546477088 176388025268 201586314592 352776050536 705552101072 1411104202144