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11442114011024 = 2419190769197299
BaseRepresentation
bin1010011010000001001100…
…1001000001111110010000
31111111212002121011110202022
42212200103021001332100
52444431422141323044
640200233513111012
72260444152235514
oct246402311017620
944455077143668
1011442114011024
1137116340780a4
1213496849b8468
1364cca9a99c38
142b7b3099c144
1514c98046d3ee
hexa6813241f90

11442114011024 has 40 divisors (see below), whose sum is σ = 23336131020000. Its totient is φ = 5419892860416.

The previous prime is 11442114011021. The next prime is 11442114011047. The reversal of 11442114011024 is 42011041124411.

It is a junction number, because it is equal to n+sod(n) for n = 11442114010984 and 11442114011002.

It is not an unprimeable number, because it can be changed into a prime (11442114011021) 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 7 ways as a sum of consecutive naturals, for example, 57895127 + ... + 58092425.

It is an arithmetic number, because the mean of its divisors is an integer number (583403275500).

Almost surely, 211442114011024 is an apocalyptic number.

It is an amenable number.

11442114011024 is an abundant number, since it is smaller than the sum of its proper divisors (11894017008976).

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

11442114011024 is a wasteful number, since it uses less digits than its factorization.

11442114011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388095 (or 388089 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 11442114011024 its reverse (42011041124411), we get a palindrome (53453155135435).

The spelling of 11442114011024 in words is "eleven trillion, four hundred forty-two billion, one hundred fourteen million, eleven thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 190769 197299 381538 394598 763076 789196 1526152 1578392 3052304 3156784 3624611 3748681 7249222 7497362 14498444 14994724 28996888 29989448 57993776 59978896 37638532931 75277065862 150554131724 301108263448 602216526896 715132125689 1430264251378 2860528502756 5721057005512 11442114011024