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45068401040 = 2451343335001
BaseRepresentation
bin101001111110010010…
…010011100110010000
311022022220010222122112
4221332102103212100
51214300002313130
632412032124452
73153560042135
oct517622234620
9138286128575
1045068401040
1118127a34833
128899396728
13433313cc30
14227779658c
15128b950495
hexa7e493990

45068401040 has 40 divisors (see below), whose sum is σ = 112844345208. Its totient is φ = 16640640000.

The previous prime is 45068401009. The next prime is 45068401043. The reversal of 45068401040 is 4010486054.

It can be written as a sum of positive squares in 4 ways, for example, as 8026009744 + 37042391296 = 89588^2 + 192464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45068400988 and 45068401006.

It is not an unprimeable number, because it can be changed into a prime (45068401043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21666461 + ... + 21668540.

Almost surely, 245068401040 is an apocalyptic number.

45068401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45068401040 is an abundant number, since it is smaller than the sum of its proper divisors (67775944168).

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

45068401040 is a wasteful number, since it uses less digits than its factorization.

45068401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43335027 (or 43335021 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 45068401040 its reverse (4010486054), we get a palindrome (49078887094).

The spelling of 45068401040 in words is "forty-five billion, sixty-eight million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 43335001 86670002 173340004 216675005 346680008 433350010 563355013 693360016 866700020 1126710026 1733400040 2253420052 2816775065 3466800080 4506840104 5633550130 9013680208 11267100260 22534200520 45068401040