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3045226746240 = 273257237344983
BaseRepresentation
bin101100010100000101101…
…010001001000110000000
3101210010021002101000212200
4230110011222021012000
5344343111021334430
610250542521353200
7433003362154110
oct54240552110600
911703232330780
103045226746240
11a74523122608
12412228338800
13191218701303
14a756570b040
1554330021460
hex2c505a89180

3045226746240 has 768 divisors, whose sum is σ = 12712348846080. Its totient is φ = 656653713408.

The previous prime is 3045226746229. The next prime is 3045226746259. The reversal of 3045226746240 is 426476225403.

3045226746240 is a `hidden beast` number, since 3 + 0 + 4 + 522 + 67 + 4 + 62 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67674789 + ... + 67719771.

It is an arithmetic number, because the mean of its divisors is an integer number (16552537560).

Almost surely, 23045226746240 is an apocalyptic number.

3045226746240 is a gapful number since it is divisible by the number (30) 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 3045226746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356174423040).

3045226746240 is an abundant number, since it is smaller than the sum of its proper divisors (9667122099840).

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

3045226746240 is a wasteful number, since it uses less digits than its factorization.

3045226746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45111 (or 45096 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 3045226746240 in words is "three trillion, forty-five billion, two hundred twenty-six million, seven hundred forty-six thousand, two hundred forty".