Search a number
-
+
1200467342256 = 2437132331617189
BaseRepresentation
bin10001011110000001011…
…011011111001110110000
311020202121122002120000220
4101132001123133032300
5124132024114423011
62315253113213040
7152505462021630
oct21360133371660
94222548076026
101200467342256
1142312a578266
121747aa101180
13892853771a0
144216261c6c0
1521360c52506
hex117816df3b0

1200467342256 has 1280 divisors, whose sum is σ = 4285165731840. Its totient is φ = 281014272000.

The previous prime is 1200467342237. The next prime is 1200467342293. The reversal of 1200467342256 is 6522437640021.

It is a super-2 number, since 2×12004673422562 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13488397060 + ... + 13488397148.

It is an arithmetic number, because the mean of its divisors is an integer number (3347785728).

Almost surely, 21200467342256 is an apocalyptic number.

1200467342256 is a gapful number since it is divisible by the number (16) 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 1200467342256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142582865920).

1200467342256 is an abundant number, since it is smaller than the sum of its proper divisors (3084698389584).

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

1200467342256 is a wasteful number, since it uses less digits than its factorization.

1200467342256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 1200467342256 in words is "one trillion, two hundred billion, four hundred sixty-seven million, three hundred forty-two thousand, two hundred fifty-six".