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11442744024 = 2333799113003
BaseRepresentation
bin10101010100000101…
…00110101011011000
31002112110112121212020
422222002212223120
5141413320302044
65131241414440
7553363501515
oct125202465330
932473477766
1011442744024
114942148a48
12227419a420
13110488376a
147a7a0030c
1546e897a19
hex2aa0a6ad8

11442744024 has 64 divisors (see below), whose sum is σ = 29411927040. Its totient is φ = 3707130240.

The previous prime is 11442744011. The next prime is 11442744037. The reversal of 11442744024 is 42044724411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11442744011) and next prime (11442744037).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873507 + ... + 886509.

It is an arithmetic number, because the mean of its divisors is an integer number (459561360).

Almost surely, 211442744024 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 11442744024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705963520).

11442744024 is an abundant number, since it is smaller than the sum of its proper divisors (17969183016).

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

11442744024 is a wasteful number, since it uses less digits than its factorization.

11442744024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040 (or 14036 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The spelling of 11442744024 in words is "eleven billion, four hundred forty-two million, seven hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 991 1982 2973 3964 5946 7928 11892 13003 23784 26006 36667 39009 52012 73334 78018 104024 110001 146668 156036 220002 293336 312072 440004 481111 880008 962222 1443333 1924444 2886666 3848888 5773332 11546664 12885973 25771946 38657919 51543892 77315838 103087784 154631676 309263352 476781001 953562002 1430343003 1907124004 2860686006 3814248008 5721372012 11442744024