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1144042344 = 2332293471579
BaseRepresentation
bin100010000110000…
…1011001101101000
32221201201101001200
41010030023031220
54320333323334
6305304444200
740231125264
oct10414131550
92851641050
101144042344
11537866a45
1227b179660
13153031443
14abd250a4
156a685799
hex4430b368

1144042344 has 96 divisors (see below), whose sum is σ = 3216564000. Its totient is φ = 366903936.

The previous prime is 1144042327. The next prime is 1144042411. The reversal of 1144042344 is 4432404411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723747 + ... + 725325.

It is an arithmetic number, because the mean of its divisors is an integer number (33505875).

Almost surely, 21144042344 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 1144042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608282000).

1144042344 is an abundant number, since it is smaller than the sum of its proper divisors (2072521656).

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

1144042344 is a wasteful number, since it uses less digits than its factorization.

1144042344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1144042344 is about 33823.6950080857. The cubic root of 1144042344 is about 1045.8772100609.

Adding to 1144042344 its reverse (4432404411), we get a palindrome (5576446755).

The spelling of 1144042344 in words is "one billion, one hundred forty-four million, forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 347 348 522 694 696 1041 1044 1388 1579 2082 2088 2776 3123 3158 4164 4737 6246 6316 8328 9474 10063 12492 12632 14211 18948 20126 24984 28422 30189 37896 40252 45791 56844 60378 80504 90567 91582 113688 120756 137373 181134 183164 241512 274746 362268 366328 412119 547913 549492 724536 824238 1095826 1098984 1643739 1648476 2191652 3287478 3296952 4383304 4931217 6574956 9862434 13149912 15889477 19724868 31778954 39449736 47668431 63557908 95336862 127115816 143005293 190673724 286010586 381347448 572021172 1144042344