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134281783440 = 2432574173449
BaseRepresentation
bin111110100001111010…
…0010110100010010000
3110211121022212101021200
41331003310112202100
54200002114032230
6141404352351200
712462425220000
oct1750364264220
9424538771250
10134281783440
1151a48625432
1222036845500
13c87ccb65bc
1466dc010000
15375dbea160
hex1f43d16890

134281783440 has 600 divisors, whose sum is σ = 530311649400. Its totient is φ = 30447599616.

The previous prime is 134281783421. The next prime is 134281783457. The reversal of 134281783440 is 44387182431.

134281783440 is a `hidden beast` number, since 1 + 34 + 2 + 8 + 178 + 3 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45057703824 + 89224079616 = 212268^2 + 298704^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 299068336 + ... + 299068784.

It is an arithmetic number, because the mean of its divisors is an integer number (883852749).

Almost surely, 2134281783440 is an apocalyptic number.

134281783440 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 134281783440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265155824700).

134281783440 is an abundant number, since it is smaller than the sum of its proper divisors (396029865960).

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

134281783440 is a wasteful number, since it uses less digits than its factorization.

134281783440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 134281783440 in words is "one hundred thirty-four billion, two hundred eighty-one million, seven hundred eighty-three thousand, four hundred forty".