Search a number
-
+
40061069568 = 28321317292713
BaseRepresentation
bin100101010011110100…
…110110100100000000
310211101220222012012100
4211103310312210000
51124021113211233
630223115430400
72615515321122
oct452364664400
9124356865170
1040061069568
1115a9847a563
127920455400
133a159152c0
141d20747212
15109704b813
hex953d36900

40061069568 has 432 divisors, whose sum is σ = 136300011120. Its totient is φ = 11197218816.

The previous prime is 40061069567. The next prime is 40061069591. The reversal of 40061069568 is 86596016004.

It can be written as a sum of positive squares in 8 ways, for example, as 3491391744 + 36569677824 = 59088^2 + 191232^2 .

It is not an unprimeable number, because it can be changed into a prime (40061069563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14764980 + ... + 14767692.

It is an arithmetic number, because the mean of its divisors is an integer number (315509285).

Almost surely, 240061069568 is an apocalyptic number.

40061069568 is a gapful number since it is divisible by the number (48) 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 40061069568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68150005560).

40061069568 is an abundant number, since it is smaller than the sum of its proper divisors (96238941552).

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

40061069568 is a wasteful number, since it uses less digits than its factorization.

40061069568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 40061069568 in words is "forty billion, sixty-one million, sixty-nine thousand, five hundred sixty-eight".