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1144070864 = 241912729633
BaseRepresentation
bin100010000110001…
…0010001011010000
32221201202211011222
41010030102023100
54320340231424
6305305224212
740231304366
oct10414221320
92851684158
101144070864
11537886412
1227b192068
13153041411
14abd31636
156a68de5e
hex443122d0

1144070864 has 40 divisors (see below), whose sum is σ = 2351754240. Its totient is φ = 537643008.

The previous prime is 1144070843. The next prime is 1144070869. The reversal of 1144070864 is 4680704411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144070869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23792 + ... + 53424.

It is an arithmetic number, because the mean of its divisors is an integer number (58793856).

Almost surely, 21144070864 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 1144070864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175877120).

1144070864 is an abundant number, since it is smaller than the sum of its proper divisors (1207683376).

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

1144070864 is a wasteful number, since it uses less digits than its factorization.

1144070864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29787 (or 29781 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 1144070864 is about 33824.1166033941. The cubic root of 1144070864 is about 1045.8859009310.

The spelling of 1144070864 in words is "one billion, one hundred forty-four million, seventy thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 127 152 254 304 508 1016 2032 2413 4826 9652 19304 29633 38608 59266 118532 237064 474128 563027 1126054 2252108 3763391 4504216 7526782 9008432 15053564 30107128 60214256 71504429 143008858 286017716 572035432 1144070864