Search a number
-
+
40641746442 = 2311223343107
BaseRepresentation
bin100101110110011011…
…111101011000001010
310212220101121122010020
4211312123331120022
51131213241341232
630400501401310
72636066100453
oct456633753012
9125811548106
1040641746442
111626622a700
127a62a09236
133aa900689b
141d7790012a
1510cceede2c
hex9766fd60a

40641746442 has 192 divisors, whose sum is σ = 96470922240. Its totient is φ = 11398722720.

The previous prime is 40641746441. The next prime is 40641746459. The reversal of 40641746442 is 24464714604.

It is a junction number, because it is equal to n+sod(n) for n = 40641746394 and 40641746403.

It is not an unprimeable number, because it can be changed into a prime (40641746441) 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, 379829353 + ... + 379829459.

It is an arithmetic number, because the mean of its divisors is an integer number (502452720).

Almost surely, 240641746442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40641746442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48235461120).

40641746442 is an abundant number, since it is smaller than the sum of its proper divisors (55829175798).

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

40641746442 is a wasteful number, since it uses less digits than its factorization.

40641746442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 40641746442 in words is "forty billion, six hundred forty-one million, seven hundred forty-six thousand, four hundred forty-two".