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1141024434 = 231122322971
BaseRepresentation
bin100010000000010…
…1010011010110010
32221112001001021020
41010000222122302
54314100240214
6305120040310
740163355564
oct10400523262
92845031236
101141024434
11536095600
1227a163096
131525158b4
14ab77b334
156a28b4a9
hex4402a6b2

1141024434 has 72 divisors (see below), whose sum is σ = 2623051536. Its totient is φ = 330620400.

The previous prime is 1141024433. The next prime is 1141024447. The reversal of 1141024434 is 4344201411.

It is not an unprimeable number, because it can be changed into a prime (1141024433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 382569 + ... + 385539.

Almost surely, 21141024434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141024434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311525768).

1141024434 is an abundant number, since it is smaller than the sum of its proper divisors (1482027102).

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

1141024434 is a wasteful number, since it uses less digits than its factorization.

1141024434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1141024434 is about 33779.0531838890. The cubic root of 1141024434 is about 1044.9567479790.

Adding to 1141024434 its reverse (4344201411), we get a palindrome (5485225845).

The spelling of 1141024434 in words is "one billion, one hundred forty-one million, twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 529 726 759 1058 1518 1587 2783 2971 3174 5566 5819 5942 8349 8913 11638 16698 17457 17826 32681 34914 64009 65362 68333 98043 128018 136666 192027 196086 204999 359491 384054 409998 718982 751663 1078473 1503326 1571659 2156946 2254989 3143318 4509978 4714977 8268293 9429954 16536586 17288249 24804879 34576498 49609758 51864747 103729494 190170739 380341478 570512217 1141024434