Search a number
-
+
140400440004 = 22311171031314637
BaseRepresentation
bin1000001011000010000…
…1001011001011000100
3111102101202012100011110
42002300201023023010
54300020003040004
6144255444405020
713100153022606
oct2026041131304
9442352170143
10140400440004
11545a842a6a0
12232639a6770
1310316828946
146b1c8a9176
1539bae70589
hex20b084b2c4

140400440004 has 192 divisors, whose sum is σ = 385078966272. Its totient is φ = 39342950400.

The previous prime is 140400440003. The next prime is 140400440029. The reversal of 140400440004 is 400044004041.

It is not an unprimeable number, because it can be changed into a prime (140400440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30275974 + ... + 30280610.

It is an arithmetic number, because the mean of its divisors is an integer number (2005619616).

Almost surely, 2140400440004 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 140400440004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192539483136).

140400440004 is an abundant number, since it is smaller than the sum of its proper divisors (244678526268).

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

140400440004 is a wasteful number, since it uses less digits than its factorization.

140400440004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 140400440004 its reverse (400044004041), we get a palindrome (540444444045).

The spelling of 140400440004 in words is "one hundred forty billion, four hundred million, four hundred forty thousand, four".