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43982681219136 = 2632112251212
BaseRepresentation
bin10100000000000100001000…
…00101110010000001000000
312202201200222200021111012100
422000002010011302001000
521231103012343003021
6233313210444430400
712156433561615302
oct1200020405620100
9182650880244170
1043982681219136
1113017a4aa16300
124b2417ab48400
131b7071a32776a
14ac0ab7677972
15514155531626
hex280084172040

43982681219136 has 189 divisors, whose sum is σ = 138576583428829. Its totient is φ = 13327554662400.

The previous prime is 43982681219107. The next prime is 43982681219143. The reversal of 43982681219136 is 63191218628934.

The square root of 43982681219136 is 6631944.

It is a perfect power (a square), and thus also a powerful number.

43982681219136 is a `hidden beast` number, since 4 + 398 + 2 + 6 + 8 + 121 + 91 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19974249193536 + 24008432025600 = 4469256^2 + 4899840^2 .

It is a super-3 number, since 3×439826812191363 (a number of 42 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1750820656 + ... + 1750845776.

Almost surely, 243982681219136 is an apocalyptic number.

43982681219136 is the 6631944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43982681219136

43982681219136 is an abundant number, since it is smaller than the sum of its proper divisors (94593902209693).

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

43982681219136 is an frugal number, since it uses more digits than its factorization.

43982681219136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50282 (or 25137 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 43982681219136 in words is "forty-three trillion, nine hundred eighty-two billion, six hundred eighty-one million, two hundred nineteen thousand, one hundred thirty-six".