Search a number
-
+
40697275085280 = 2534511613465701
BaseRepresentation
bin10010100000011100100101…
…00111111111000111100000
312100002121210002000101210000
421100032102213333013200
520313241004410212110
6222320023045140000
711400165262345332
oct1120162247770740
9170077702011700
1040697275085280
1111a7068789aa30
1246934a30ba600
131992976336818
14a09a89943452
154a896996c1c0
hex2503929ff1e0

40697275085280 has 480 divisors, whose sum is σ = 156940448863968. Its totient is φ = 9849890304000.

The previous prime is 40697275085227. The next prime is 40697275085287. The reversal of 40697275085280 is 8258057279604.

40697275085280 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 7 + 275 + 0 + 85 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40697275085287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87156430 + ... + 87622130.

Almost surely, 240697275085280 is an apocalyptic number.

40697275085280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40697275085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78470224431984).

40697275085280 is an abundant number, since it is smaller than the sum of its proper divisors (116243173778688).

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

40697275085280 is a wasteful number, since it uses less digits than its factorization.

40697275085280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466352 (or 466335 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 40697275085280 in words is "forty trillion, six hundred ninety-seven billion, two hundred seventy-five million, eighty-five thousand, two hundred eighty".