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11214413712 = 243423333709
BaseRepresentation
bin10100111000110111…
…00101111110010000
31001221112220020120000
422130123211332100
5140431342214322
65052443450000
7544621641465
oct123433457620
931845806500
1011214413712
114835276007
12220b826900
13109948a478
1478556566c
154597e43ac
hex29c6e5f90

11214413712 has 100 divisors (see below), whose sum is σ = 32480434140. Its totient is φ = 3735528192.

The previous prime is 11214413677. The next prime is 11214413713. The reversal of 11214413712 is 21731441211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3397024656 + 7817389056 = 58284^2 + 88416^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11214413713) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3021714 + ... + 3025422.

Almost surely, 211214413712 is an apocalyptic number.

11214413712 is a gapful number since it is divisible by the number (12) 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 11214413712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240217070).

11214413712 is an abundant number, since it is smaller than the sum of its proper divisors (21266020428).

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

11214413712 is a wasteful number, since it uses less digits than its factorization.

11214413712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6047 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

Adding to 11214413712 its reverse (21731441211), we get a palindrome (32945854923).

The spelling of 11214413712 in words is "eleven billion, two hundred fourteen million, four hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2333 3709 4666 6999 7418 9332 11127 13998 14836 18664 20997 22254 27996 29672 33381 37328 41994 44508 55992 59344 62991 66762 83988 89016 100143 111984 125982 133524 167976 178032 188973 200286 251964 267048 300429 335952 377946 400572 503928 534096 600858 755892 801144 1007856 1201716 1511784 1602288 2403432 3023568 4806864 8653097 17306194 25959291 34612388 51918582 69224776 77877873 103837164 138449552 155755746 207674328 233633619 311511492 415348656 467267238 623022984 700900857 934534476 1246045968 1401801714 1869068952 2803603428 3738137904 5607206856 11214413712