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40516106777541 = 32336110559126851
BaseRepresentation
bin10010011011001011001000…
…01001101111001111000101
312022110022011010212210121100
421031211210021233033011
520302303441313340131
6222100501551410313
711351122616214243
oct1115454411571705
9168408133783540
1040516106777541
1111a0086a02896a
124664362223999
13197b863646125
14a00dc0907793
154a3db48d87e6
hex24d96426f3c5

40516106777541 has 24 divisors (see below), whose sum is σ = 58546683486720. Its totient is φ = 26999931168000.

The previous prime is 40516106777459. The next prime is 40516106777551. The reversal of 40516106777541 is 14577760161504.

40516106777541 is a `hidden beast` number, since 4 + 0 + 5 + 16 + 10 + 6 + 7 + 77 + 541 = 666.

40516106777541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40516106777541 - 239 = 39966350963653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40516106777551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319335766 + ... + 319462616.

It is an arithmetic number, because the mean of its divisors is an integer number (2439445145280).

Almost surely, 240516106777541 is an apocalyptic number.

It is an amenable number.

40516106777541 is a deficient number, since it is larger than the sum of its proper divisors (18030576709179).

40516106777541 is a wasteful number, since it uses less digits than its factorization.

40516106777541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140777 (or 140774 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 40516106777541 in words is "forty trillion, five hundred sixteen billion, one hundred six million, seven hundred seventy-seven thousand, five hundred forty-one".

Divisors: 1 3 9 3361 10083 10559 30249 31677 95031 126851 380553 1141659 35488799 106466397 319399191 426346211 1279038633 1339419709 3837115899 4018259127 12054777381 4501789641949 13505368925847 40516106777541