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1144699056 = 2432311491721
BaseRepresentation
bin100010000111010…
…1011100010110000
32221202221201220100
41010032223202300
54321020332211
6305330512400
740236532014
oct10416534260
92852851810
101144699056
11538175386
1227b435700
13153201327
14ac056544
156a765156
hex443ab8b0

1144699056 has 120 divisors (see below), whose sum is σ = 3331036800. Its totient is φ = 366566400.

The previous prime is 1144699051. The next prime is 1144699067. The reversal of 1144699056 is 6509964411.

It is a happy number.

It is a super-2 number, since 2×11446990562 = 2620671857614582272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144699051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664276 + ... + 665996.

It is an arithmetic number, because the mean of its divisors is an integer number (27758640).

Almost surely, 21144699056 is an apocalyptic number.

1144699056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144699056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665518400).

1144699056 is an abundant number, since it is smaller than the sum of its proper divisors (2186337744).

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

1144699056 is a wasteful number, since it uses less digits than its factorization.

1144699056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1144699056 is about 33833.4014843320. The cubic root of 1144699056 is about 1046.0772926127.

The spelling of 1144699056 in words is "one billion, one hundred forty-four million, six hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 149 186 248 279 298 372 447 496 558 596 744 894 1116 1192 1341 1488 1721 1788 2232 2384 2682 3442 3576 4464 4619 5163 5364 6884 7152 9238 10326 10728 13768 13857 15489 18476 20652 21456 27536 27714 30978 36952 41304 41571 53351 55428 61956 73904 82608 83142 106702 110856 123912 160053 166284 213404 221712 247824 256429 320106 332568 426808 480159 512858 640212 665136 769287 853616 960318 1025716 1280424 1538574 1920636 2051432 2307861 2560848 3077148 3841272 4102864 4615722 6154296 7682544 7949299 9231444 12308592 15898598 18462888 23847897 31797196 36925776 47695794 63594392 71543691 95391588 127188784 143087382 190783176 286174764 381566352 572349528 1144699056