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1150434412336 = 241122113281227
BaseRepresentation
bin10000101111011011001…
…111000000011100110000
311001222110202022101001101
4100233123033000130300
5122322042202143321
62240300254014144
7146054560105366
oct20573317003460
94058422271041
101150434412336
11403995263500
12166b661a7354
1384640847a01
143d977799636
151edd3555791
hex10bdb3c0730

1150434412336 has 60 divisors (see below), whose sum is σ = 2451189435016. Its totient is φ = 522675394560.

The previous prime is 1150434412331. The next prime is 1150434412363. The reversal of 1150434412336 is 6332144340511.

It is a junction number, because it is equal to n+sod(n) for n = 1150434412295 and 1150434412304.

It is not an unprimeable number, because it can be changed into a prime (1150434412331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3950155 + ... + 4231381.

Almost surely, 21150434412336 is an apocalyptic number.

1150434412336 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 1150434412336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225594717508).

1150434412336 is an abundant number, since it is smaller than the sum of its proper divisors (1300755022680).

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

1150434412336 is a wasteful number, since it uses less digits than its factorization.

1150434412336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283370 (or 283353 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 1150434412336 its reverse (6332144340511), we get a palindrome (7482578752847).

The spelling of 1150434412336 in words is "one trillion, one hundred fifty billion, four hundred thirty-four million, four hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2113 4226 8452 16904 23243 33808 46486 92972 185944 255673 281227 371888 511346 562454 1022692 1124908 2045384 2249816 3093497 4090768 4499632 6186994 12373988 24747976 34028467 49495952 68056934 136113868 272227736 544455472 594232651 1188465302 2376930604 4753861208 6536559161 9507722416 13073118322 26146236644 52292473288 71902150771 104584946576 143804301542 287608603084 575217206168 1150434412336