Search a number
-
+
40048025392980 = 22355111734330181
BaseRepresentation
bin10010001101100011010000…
…10100111101011101010100
312020210112221202011202100000
421012301220110331131110
520222121324000033410
6221101450415051300
711302242255124503
oct1106615024753524
9166715852152300
1040048025392980
11118402aa3146a0
1245a96aa810b30
131946688211167
149c649888083a
15496b1b067dc0
hex246c6853d754

40048025392980 has 288 divisors, whose sum is σ = 138225229204608. Its totient is φ = 9652490841600.

The previous prime is 40048025392967. The next prime is 40048025392987. The reversal of 40048025392980 is 8929352084004.

40048025392980 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 8 + 0 + 2 + 539 + 29 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40048025392987) 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, 7083490 + ... + 11413670.

It is an arithmetic number, because the mean of its divisors is an integer number (479948712516).

Almost surely, 240048025392980 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 40048025392980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69112614602304).

40048025392980 is an abundant number, since it is smaller than the sum of its proper divisors (98177203811628).

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

40048025392980 is a wasteful number, since it uses less digits than its factorization.

40048025392980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330389 (or 4330375 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 40048025392980 in words is "forty trillion, forty-eight billion, twenty-five million, three hundred ninety-two thousand, nine hundred eighty".