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132294115044 = 2232713293474013
BaseRepresentation
bin111101100110101010…
…1111111111011100100
3110122110210201100211200
41323031111333323210
54131414243140134
6140435230002500
712362241265260
oct1731525777344
9418423640750
10132294115044
1151118640783
1221781046430
13c624269160
1465900450a0
153694471499
hex1ecd57fee4

132294115044 has 288 divisors, whose sum is σ = 427107582720. Its totient is φ = 33582173184.

The previous prime is 132294115003. The next prime is 132294115049. The reversal of 132294115044 is 440511492231.

132294115044 is a `hidden beast` number, since 13 + 229 + 411 + 5 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132294115049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32964382 + ... + 32968394.

It is an arithmetic number, because the mean of its divisors is an integer number (1483012440).

Almost surely, 2132294115044 is an apocalyptic number.

132294115044 is a gapful number since it is divisible by the number (14) 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 132294115044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213553791360).

132294115044 is an abundant number, since it is smaller than the sum of its proper divisors (294813467676).

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

132294115044 is a wasteful number, since it uses less digits than its factorization.

132294115044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 132294115044 in words is "one hundred thirty-two billion, two hundred ninety-four million, one hundred fifteen thousand, forty-four".