Search a number
-
+
1047282642240 = 263529311213481
BaseRepresentation
bin11110011110101101110…
…10001110110101000000
310201010012221001112000220
433033112322032311000
5114124313324022430
62121040501343040
7135443432402652
oct17172672166500
93633187045026
101047282642240
1137417182692a
1214ab78a07a80
13779b2085263
143898dd066d2
151c397798110
hexf3d6e8ed40

1047282642240 has 224 divisors, whose sum is σ = 3550745410560. Its totient is φ = 260946739200.

The previous prime is 1047282642191. The next prime is 1047282642247. The reversal of 1047282642240 is 422462827401.

It is a junction number, because it is equal to n+sod(n) for n = 1047282642192 and 1047282642201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047282642247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256300 + ... + 1469780.

Almost surely, 21047282642240 is an apocalyptic number.

1047282642240 is a gapful number since it is divisible by the number (10) 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 1047282642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775372705280).

1047282642240 is an abundant number, since it is smaller than the sum of its proper divisors (2503462768320).

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

1047282642240 is a wasteful number, since it uses less digits than its factorization.

1047282642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213561 (or 1213551 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 1047282642240 in words is "one trillion, forty-seven billion, two hundred eighty-two million, six hundred forty-two thousand, two hundred forty".