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115041020454 = 232231099972557
BaseRepresentation
bin110101100100011111…
…0101010101000100110
3101222221101222100102100
41223020332222220212
53341101000123304
6124503224152530
711211552353043
oct1531076525046
9358841870370
10115041020454
1144874725418
121a367008746
13ab049bb949
1457d48c21ca
152ed4953439
hex1ac8faaa26

115041020454 has 96 divisors (see below), whose sum is σ = 262844936640. Its totient is φ = 36292582656.

The previous prime is 115041020449. The next prime is 115041020459. The reversal of 115041020454 is 454020140511.

115041020454 is a `hidden beast` number, since 1 + 1 + 504 + 102 + 0 + 4 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (115041020449) and next prime (115041020459).

It is a super-2 number, since 2×1150410204542 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115041020459) 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 47 ways as a sum of consecutive naturals, for example, 44989344 + ... + 44991900.

It is an arithmetic number, because the mean of its divisors is an integer number (2737968090).

Almost surely, 2115041020454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115041020454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131422468320).

115041020454 is an abundant number, since it is smaller than the sum of its proper divisors (147803916186).

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

115041020454 is a wasteful number, since it uses less digits than its factorization.

115041020454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 115041020454 its reverse (454020140511), we get a palindrome (569061160965).

The spelling of 115041020454 in words is "one hundred fifteen billion, forty-one million, twenty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 46 69 109 138 207 218 327 414 654 981 997 1962 1994 2507 2557 2991 5014 5114 5982 7521 7671 8973 15042 15342 17946 22563 22931 23013 45126 45862 46026 58811 68793 108673 117622 137586 176433 206379 217346 278713 326019 352866 412758 529299 557426 652038 836139 978057 1058598 1672278 1956114 2499479 2508417 2549329 4998958 5016834 5098658 6410399 7498437 7647987 12820798 14996874 15295974 19231197 22495311 22943961 38462394 44990622 45887922 57693591 58634567 115387182 117269134 175903701 277876861 351807402 527711103 555753722 833630583 1055422206 1667261166 2500891749 5001783498 6391167803 12782335606 19173503409 38347006818 57520510227 115041020454