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40365115544 = 23132974318013
BaseRepresentation
bin100101100101111100…
…101100100010011000
310212012010002022212102
4211211330230202120
51130131432144134
630313220302532
72626166551415
oct454574544230
9125163068772
1040365115544
1116134067826
1279a6241a48
133a638cb870
141d4cc9110c
1510b3aa937e
hex965f2c898

40365115544 has 64 divisors (see below), whose sum is σ = 84435220800. Its totient is φ = 17962430976.

The previous prime is 40365115541. The next prime is 40365115547. The reversal of 40365115544 is 44551156304.

It is an interprime number because it is at equal distance from previous prime (40365115541) and next prime (40365115547).

It is a junction number, because it is equal to n+sod(n) for n = 40365115498 and 40365115507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40365115541) 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 15 ways as a sum of consecutive naturals, for example, 2231882 + ... + 2249894.

It is an arithmetic number, because the mean of its divisors is an integer number (1319300325).

Almost surely, 240365115544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40365115544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42217610400).

40365115544 is an abundant number, since it is smaller than the sum of its proper divisors (44070105256).

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

40365115544 is a wasteful number, since it uses less digits than its factorization.

40365115544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18804 (or 18800 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 40365115544 in words is "forty billion, three hundred sixty-five million, one hundred fifteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 743 754 1486 1508 2972 3016 5944 9659 18013 19318 21547 36026 38636 43094 72052 77272 86188 144104 172376 234169 280111 468338 522377 560222 936676 1044754 1120444 1873352 2089508 2240888 4179016 6790901 13383659 13581802 26767318 27163604 53534636 54327208 107069272 173987567 347975134 388126111 695950268 776252222 1391900536 1552504444 3105008888 5045639443 10091278886 20182557772 40365115544