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1144504314 = 2322931107661
BaseRepresentation
bin100010000110111…
…1011111111111010
32221202120211202200
41010031323333322
54320443114224
6305322411030
740235061162
oct10415737772
92852524680
101144504314
11538052038
1227b360a76
131531637b5
14ac0055a2
156a7275c9
hex4437bffa

1144504314 has 96 divisors (see below), whose sum is σ = 2676810240. Its totient is φ = 352598400.

The previous prime is 1144504307. The next prime is 1144504351. The reversal of 1144504314 is 4134054411.

1144504314 is a `hidden beast` number, since 1 + 144 + 504 + 3 + 14 = 666.

It is a super-3 number, since 3×11445043143 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731144 + ... + 1731804.

It is an arithmetic number, because the mean of its divisors is an integer number (27883440).

Almost surely, 21144504314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144504314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338405120).

1144504314 is an abundant number, since it is smaller than the sum of its proper divisors (1532305926).

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

1144504314 is a wasteful number, since it uses less digits than its factorization.

1144504314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1144504314 is about 33830.5234071245. The cubic root of 1144504314 is about 1046.0179679263.

Adding to 1144504314 its reverse (4134054411), we get a palindrome (5278558725).

The spelling of 1144504314 in words is "one billion, one hundred forty-four million, five hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 107 174 186 214 261 279 321 522 558 642 661 899 963 1322 1798 1926 1983 2697 3103 3317 3966 5394 5949 6206 6634 8091 9309 9951 11898 16182 18618 19169 19902 20491 27927 29853 38338 40982 55854 57507 59706 61473 70727 96193 115014 122946 141454 172521 184419 192386 212181 288579 345042 368838 424362 577158 594239 636543 865737 1188478 1273086 1731474 1782717 2051083 2192537 3565434 4102166 4385074 5348151 6153249 6577611 10696302 12306498 13155222 18459747 19732833 36919494 39465666 63583573 127167146 190750719 381501438 572252157 1144504314