Search a number
-
+
40661106150420 = 2235572115664511
BaseRepresentation
bin10010011111011001001101…
…10010011100110000010100
312022222011102101210010200000
421033230212302130300110
520312142421133303140
6222251242043251300
711364445054436550
oct1117544662346024
9168864371703600
1040661106150420
1111a57307430928
12468848a219b30
13198c430ba7412
14a080180b2860
154a7a4e48aa30
hex24fb26c9cc14

40661106150420 has 288 divisors, whose sum is σ = 146872004837376. Its totient is φ = 9249918249600.

The previous prime is 40661106150403. The next prime is 40661106150421. The reversal of 40661106150420 is 2405160116604.

40661106150420 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 1 + 10 + 615 + 0 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40661106150421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4345965 + ... + 10010475.

Almost surely, 240661106150420 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 40661106150420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73436002418688).

40661106150420 is an abundant number, since it is smaller than the sum of its proper divisors (106210898686956).

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

40661106150420 is a wasteful number, since it uses less digits than its factorization.

40661106150420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664753 (or 5664739 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 40661106150420 in words is "forty trillion, six hundred sixty-one billion, one hundred six million, one hundred fifty thousand, four hundred twenty".