Search a number
-
+
40969119447360 = 26325135930760413
BaseRepresentation
bin10010101000010110111011…
…10011111011100101000000
312101001121110101010211021200
421110023131303323211000
520332214224034303420
6223044541553221200
711425630654323036
oct1124133563734500
9171047411124250
1040969119447360
11120659a6957785
12471810b261800
1319b24a9c23540
14a18cb7580556
154b0a7a3beb90
hex2542ddcfb940

40969119447360 has 672 divisors, whose sum is σ = 154833851652480. Its totient is φ = 9881323094016.

The previous prime is 40969119447317. The next prime is 40969119447371. The reversal of 40969119447360 is 6374491196904.

40969119447360 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 9 + 11 + 94 + 473 + 60 = 666.

40969119447360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678120514 + ... + 678180926.

It is an arithmetic number, because the mean of its divisors is an integer number (230407517340).

Almost surely, 240969119447360 is an apocalyptic number.

40969119447360 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 40969119447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77416925826240).

40969119447360 is an abundant number, since it is smaller than the sum of its proper divisors (113864732205120).

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

40969119447360 is a wasteful number, since it uses less digits than its factorization.

40969119447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60815 (or 60802 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 40969119447360 in words is "forty trillion, nine hundred sixty-nine billion, one hundred nineteen million, four hundred forty-seven thousand, three hundred sixty".