Search a number
-
+
3140404140160 = 27573123819497
BaseRepresentation
bin101101101100101110101…
…011000101100010000000
3102010012221011102121021101
4231230232223011202000
5402423021424441120
610402403131304144
7442613066520430
oct55545653054200
912105834377241
103140404140160
1110009242a3351
1242876abab054
1319a1a6052a91
14abdd40862c0
1556a50b9590a
hex2db2eac5880

3140404140160 has 256 divisors, whose sum is σ = 8861460756480. Its totient is φ = 1041430118400.

The previous prime is 3140404140101. The next prime is 3140404140169. The reversal of 3140404140160 is 610414040413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3140404140169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330668532 + ... + 330678028.

It is an arithmetic number, because the mean of its divisors is an integer number (34615081080).

Almost surely, 23140404140160 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 3140404140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430730378240).

3140404140160 is an abundant number, since it is smaller than the sum of its proper divisors (5721056616320).

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

3140404140160 is a wasteful number, since it uses less digits than its factorization.

3140404140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11935 (or 11923 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 3140404140160 its reverse (610414040413), we get a palindrome (3750818180573).

The spelling of 3140404140160 in words is "three trillion, one hundred forty billion, four hundred four million, one hundred forty thousand, one hundred sixty".