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1053471144 = 2331110613761
BaseRepresentation
bin111110110010101…
…011000110101000
32201102021212201210
4332302223012220
54124142034034
6252311313120
735051233305
oct7662530650
92642255653
101053471144
114a0725510
1225497b7a0
1313a33c50b
149dcaa0ac
15627448e9
hex3ecab1a8

1053471144 has 64 divisors (see below), whose sum is σ = 2876575680. Its totient is φ = 318848000.

The previous prime is 1053471127. The next prime is 1053471151. The reversal of 1053471144 is 4411743501.

It is a super-2 number, since 2×10534711442 = 2219602902481337472, which contains 22 as substring.

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, 278224 + ... + 281984.

It is an arithmetic number, because the mean of its divisors is an integer number (44946495).

Almost surely, 21053471144 is an apocalyptic number.

It is an amenable number.

1053471144 is an abundant number, since it is smaller than the sum of its proper divisors (1823104536).

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

1053471144 is a wasteful number, since it uses less digits than its factorization.

1053471144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1053471144 is about 32457.2202136905. The cubic root of 1053471144 is about 1017.5151433211.

It can be divided in two parts, 105347 and 1144, that added together give a triangular number (106491 = T461).

The spelling of 1053471144 in words is "one billion, fifty-three million, four hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1061 2122 3183 3761 4244 6366 7522 8488 11283 11671 12732 15044 22566 23342 25464 30088 35013 41371 45132 46684 70026 82742 90264 93368 124113 140052 165484 248226 280104 330968 496452 992904 3990421 7980842 11971263 15961684 23942526 31923368 43894631 47885052 87789262 95770104 131683893 175578524 263367786 351157048 526735572 1053471144