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141996488832000 = 2103453112354133
BaseRepresentation
bin100000010010010100100010…
…010001101011010000000000
3200121202201202110012120120000
4200102110202101223100000
5122102432302120111000
61222000141511320000
741623623236251545
oct4022244221532000
9617681673176500
10141996488832000
11412764111175a0
1213b13a54980000
1361302996c806a
14270c949712bcc
1511639c4103000
hex81252246b400

141996488832000 has 1760 divisors, whose sum is σ = 602407565869824. Its totient is φ = 32926113792000.

The previous prime is 141996488831983. The next prime is 141996488832019. The reversal of 141996488832000 is 238884699141.

141996488832000 is a `hidden beast` number, since 1 + 4 + 199 + 6 + 48 + 88 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2623076934 + ... + 2623131066.

Almost surely, 2141996488832000 is an apocalyptic number.

141996488832000 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 141996488832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301203782934912).

141996488832000 is an abundant number, since it is smaller than the sum of its proper divisors (460411077037824).

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

141996488832000 is a wasteful number, since it uses less digits than its factorization.

141996488832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54214 (or 54177 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 141996488832000 in words is "one hundred forty-one trillion, nine hundred ninety-six billion, four hundred eighty-eight million, eight hundred thirty-two thousand".