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1144345842 = 2323137431289
BaseRepresentation
bin100010000110101…
…0101010011110010
32221202021210101100
41010031111103302
54320423031332
6305315145230
740233531153
oct10415252362
92852253340
101144345842
11537a53a72
1227b2a5216
13153109623
14abda392a
156a6e567c
hex443554f2

1144345842 has 96 divisors (see below), whose sum is σ = 2691786240. Its totient is φ = 350542080.

The previous prime is 1144345831. The next prime is 1144345859. The reversal of 1144345842 is 2485434411.

1144345842 is a `hidden beast` number, since 1 + 1 + 44 + 34 + 584 + 2 = 666.

It is a super-2 number, since 2×11443458422 = 2619054812205377928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1144345797 and 1144345806.

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, 887134 + ... + 888422.

It is an arithmetic number, because the mean of its divisors is an integer number (28039440).

Almost surely, 21144345842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144345842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345893120).

1144345842 is an abundant number, since it is smaller than the sum of its proper divisors (1547440398).

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

1144345842 is a wasteful number, since it uses less digits than its factorization.

1144345842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1405 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 1144345842 is about 33828.1811807848. The cubic root of 1144345842 is about 1045.9696872838.

The spelling of 1144345842 in words is "one billion, one hundred forty-four million, three hundred forty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 31 37 43 62 74 86 93 111 129 186 222 258 279 333 387 558 666 774 1147 1289 1333 1591 2294 2578 2666 3182 3441 3867 3999 4773 6882 7734 7998 9546 10323 11601 11997 14319 20646 23202 23994 28638 39959 47693 49321 55427 79918 95386 98642 110854 119877 143079 147963 166281 239754 286158 295926 332562 359631 429237 443889 498843 719262 858474 887778 997686 1478483 1718237 2050799 2956966 3436474 4101598 4435449 5154711 6152397 8870898 10309422 12304794 13306347 15464133 18457191 26612694 30928266 36914382 63574769 127149538 190724307 381448614 572172921 1144345842