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11244120024 = 2335340921613
BaseRepresentation
bin10100111100011001…
…11010011111011000
31002000121210110221210
422132030322133120
5141011443320044
65055424303120
7545432305014
oct123614723730
932017713853
1011244120024
114850015885
122219771aa0
1310a268b877
14789499544
1545c2111b9
hex29e33a7d8

11244120024 has 64 divisors (see below), whose sum is σ = 28712037600. Its totient is φ = 3668161536.

The previous prime is 11244120001. The next prime is 11244120037. The reversal of 11244120024 is 42002144211.

It is a super-2 number, since 2×112441200242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509442 + ... + 531054.

Almost surely, 211244120024 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 11244120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356018800).

11244120024 is an abundant number, since it is smaller than the sum of its proper divisors (17467917576).

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

11244120024 is a wasteful number, since it uses less digits than its factorization.

11244120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22084 (or 22080 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11244120024 its reverse (42002144211), we get a palindrome (53246264235).

The spelling of 11244120024 in words is "eleven billion, two hundred forty-four million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 409 424 636 818 1227 1272 1636 2454 3272 4908 9816 21613 21677 43226 43354 64839 65031 86452 86708 129678 130062 172904 173416 259356 260124 518712 520248 1145489 2290978 3436467 4581956 6872934 8839717 9163912 13745868 17679434 26519151 27491736 35358868 53038302 70717736 106076604 212153208 468505001 937010002 1405515003 1874020004 2811030006 3748040008 5622060012 11244120024