Search a number
-
+
40132042744365 = 3351113101103199831
BaseRepresentation
bin10010001111111111110000…
…01001101110001000101101
312021002120211001122102102000
421013333320021232020231
520230010410420304430
6221204223402322513
711311305300621015
oct1107777011561055
9167076731572360
1040132042744365
11118729a3986290
124601a37ab9439
131951587731370
149ca588da8c45
15498dd7087e60
hex247ff826e22d

40132042744365 has 256 divisors, whose sum is σ = 85471055953920. Its totient is φ = 17610618240000.

The previous prime is 40132042744333. The next prime is 40132042744369. The reversal of 40132042744365 is 56344724023104.

40132042744365 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 204 + 2 + 7 + 4 + 436 + 5 = 666.

It is not a de Polignac number, because 40132042744365 - 25 = 40132042744333 is a prime.

It is a super-2 number, since 2×401320427443652 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40132042744365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132042744369) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 200730000 + ... + 200929830.

It is an arithmetic number, because the mean of its divisors is an integer number (333871312320).

Almost surely, 240132042744365 is an apocalyptic number.

40132042744365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40132042744365 is an abundant number, since it is smaller than the sum of its proper divisors (45339013209555).

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

40132042744365 is a wasteful number, since it uses less digits than its factorization.

40132042744365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200073 (or 200067 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 40132042744365 its reverse (56344724023104), we get a palindrome (96476766767469).

The spelling of 40132042744365 in words is "forty trillion, one hundred thirty-two billion, forty-two million, seven hundred forty-four thousand, three hundred sixty-five".