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132834925440 = 2732573789041
BaseRepresentation
bin111101110110110010…
…1000001101110000000
3110200212111100101020100
41323231211001232000
54134021220103230
6141005025242400
712411526144050
oct1735545015600
9420774311210
10132834925440
1151375941618
12218b2193400
13c6ac30c8c9
146601bc1560
1536c6b9b660
hex1eed941b80

132834925440 has 384 divisors, whose sum is σ = 538397795520. Its totient is φ = 29541335040.

The previous prime is 132834925357. The next prime is 132834925529. The reversal of 132834925440 is 44529438231.

132834925440 is a `hidden beast` number, since 1 + 32 + 83 + 492 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1447320 + ... + 1536360.

Almost surely, 2132834925440 is an apocalyptic number.

132834925440 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 132834925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269198897760).

132834925440 is an abundant number, since it is smaller than the sum of its proper divisors (405562870080).

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

132834925440 is a wasteful number, since it uses less digits than its factorization.

132834925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89110 (or 89095 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 132834925440 in words is "one hundred thirty-two billion, eight hundred thirty-four million, nine hundred twenty-five thousand, four hundred forty".