Search a number
-
+
11343174615400 = 23522111021263267
BaseRepresentation
bin1010010100010000100111…
…1001001100000101101000
31111011101201100020102012011
42211010021321030011220
52441321310200143100
640042552114325304
72250342304243165
oct245041171140550
944141640212164
1011343174615400
113683682399841
121332472289834
1364386cc26764
142b302674306c
1514a0de3d6bba
hexa5109e4c168

11343174615400 has 96 divisors (see below), whose sum is σ = 26523924547680. Its totient is φ = 4511326176000.

The previous prime is 11343174615379. The next prime is 11343174615401. The reversal of 11343174615400 is 451647134311.

It is a super-2 number, since 2×113431746154002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11343174615401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42954567 + ... + 43217833.

It is an arithmetic number, because the mean of its divisors is an integer number (276290880705).

Almost surely, 211343174615400 is an apocalyptic number.

11343174615400 is a gapful number since it is divisible by the number (10) 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 11343174615400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13261962273840).

11343174615400 is an abundant number, since it is smaller than the sum of its proper divisors (15180749932280).

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

11343174615400 is a wasteful number, since it uses less digits than its factorization.

11343174615400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264515 (or 264506 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 11343174615400 in words is "eleven trillion, three hundred forty-three billion, one hundred seventy-four million, six hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1021 1055 1688 2042 2110 4084 4220 5105 5275 8168 8440 10210 10550 20420 21100 25525 40840 42200 51050 102100 204200 215431 263267 430862 526534 861724 1053068 1077155 1316335 1723448 2106136 2154310 2632670 4308620 5265340 5385775 6581675 8617240 10530680 10771550 13163350 21543100 26326700 43086200 52653400 55549337 111098674 222197348 268795607 277746685 444394696 537591214 555493370 1075182428 1110986740 1343978035 1388733425 2150364856 2221973480 2687956070 2777466850 5375912140 5554933700 6719890175 10751824280 11109867400 13439780350 26879560700 53759121400 56715873077 113431746154 226863492308 283579365385 453726984616 567158730770 1134317461540 1417896826925 2268634923080 2835793653850 5671587307700 11343174615400