Search a number
-
+
1342777347072 = 2103572110129
BaseRepresentation
bin10011100010100011110…
…001000100110000000000
311202100221110110211200000
4103202203301010300000
5134000002000101242
62504510254400000
7166004163062100
oct23424361046000
94670843424600
101342777347072
11478517896197
121982a5500000
13998146a5125
1448dc2961200
1524dde66ea4c
hex138a3c44c00

1342777347072 has 396 divisors, whose sum is σ = 4677348410280. Its totient is φ = 383647186944.

The previous prime is 1342777347059. The next prime is 1342777347137. The reversal of 1342777347072 is 2707437772431.

1342777347072 is a `hidden beast` number, since 1 + 34 + 2 + 7 + 7 + 73 + 470 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12137704 + ... + 12247832.

Almost surely, 21342777347072 is an apocalyptic number.

1342777347072 is a gapful number since it is divisible by the number (12) 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 1342777347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338674205140).

1342777347072 is an abundant number, since it is smaller than the sum of its proper divisors (3334571063208).

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

1342777347072 is an equidigital number, since it uses as much as digits as its factorization.

1342777347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110178 (or 110141 counting only the distinct ones).

The product of its (nonzero) digits is 9680832, while the sum is 54.

The spelling of 1342777347072 in words is "one trillion, three hundred forty-two billion, seven hundred seventy-seven million, three hundred forty-seven thousand, seventy-two".