Search a number
-
+
1139431140456 = 2337219139936451
BaseRepresentation
bin10000100101001011011…
…000110110110001101000
311000221001220201020122020
4100211023120312301220
5122132023332443311
62231240351424440
7145215110614500
oct20451330666150
94027056636566
101139431140456
113aa2591a0484
121649b5225120
13835a904604b
143d2122b6a00
151e98c56bc06
hex1094b636c68

1139431140456 has 192 divisors, whose sum is σ = 3490643520000. Its totient is φ = 308188540800.

The previous prime is 1139431140427. The next prime is 1139431140457. The reversal of 1139431140456 is 6540411349311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1139431140457) 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, 31241031 + ... + 31277481.

It is an arithmetic number, because the mean of its divisors is an integer number (18180435000).

Almost surely, 21139431140456 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 1139431140456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745321760000).

1139431140456 is an abundant number, since it is smaller than the sum of its proper divisors (2351212379544).

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

1139431140456 is a wasteful number, since it uses less digits than its factorization.

1139431140456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37892 (or 37881 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

Adding to 1139431140456 its reverse (6540411349311), we get a palindrome (7679842489767).

The spelling of 1139431140456 in words is "one trillion, one hundred thirty-nine billion, four hundred thirty-one million, one hundred forty thousand, four hundred fifty-six".