Search a number
-
+
11552401214424 = 2332722921430981
BaseRepresentation
bin1010100000011100000011…
…0001010100101111011000
31111220101202200222220010100
42220013000301110233120
53003233304202330144
640323033322415400
72301430162060620
oct250070061245730
944811680886110
1011552401214424
113754389351394
121366b23961560
1365a504934185
142bd1d3d83880
15150787898269
hexa81c0c54bd8

11552401214424 has 48 divisors (see below), whose sum is σ = 35757432331920. Its totient is φ = 3300686061120.

The previous prime is 11552401214407. The next prime is 11552401214429. The reversal of 11552401214424 is 42441210425511.

It is a happy number.

11552401214424 is a `hidden beast` number, since 1 + 1 + 5 + 52 + 40 + 121 + 442 + 4 = 666.

It is a super-2 number, since 2×115524012144242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552401214429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11460714987 + ... + 11460715994.

It is an arithmetic number, because the mean of its divisors is an integer number (744946506915).

Almost surely, 211552401214424 is an apocalyptic number.

11552401214424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11552401214424 is an abundant number, since it is smaller than the sum of its proper divisors (24205031117496).

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

11552401214424 is a wasteful number, since it uses less digits than its factorization.

11552401214424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22921431000 (or 22921430993 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 11552401214424 its reverse (42441210425511), we get a palindrome (53993611639935).

The spelling of 11552401214424 in words is "eleven trillion, five hundred fifty-two billion, four hundred one million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 22921430981 45842861962 68764292943 91685723924 137528585886 160450016867 183371447848 206292878829 275057171772 320900033734 412585757658 481350050601 550114343544 641800067468 825171515316 962700101202 1283600134936 1444050151803 1650343030632 1925400202404 2888100303606 3850800404808 5776200607212 11552401214424