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141283722240 = 21032559157331
BaseRepresentation
bin1000001110010100101…
…0101000010000000000
3111111200022020201121100
42003211022220100000
54303322113102430
6144523240254400
713131066552513
oct2034512502000
9444608221540
10141283722240
1154a10a83711
122346b771400
131042781ab5b
146ba3d12d7a
153a1d798960
hex20e52a8400

141283722240 has 528 divisors, whose sum is σ = 502526381760. Its totient is φ = 36690001920.

The previous prime is 141283722199. The next prime is 141283722241. The reversal of 141283722240 is 42227382141.

141283722240 is a `hidden beast` number, since 1 + 41 + 2 + 8 + 372 + 2 + 240 = 666.

It is a super-2 number, since 2×1412837222402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 141283722195 and 141283722204.

It is not an unprimeable number, because it can be changed into a prime (141283722241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426838875 + ... + 426839205.

Almost surely, 2141283722240 is an apocalyptic number.

141283722240 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 141283722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251263190880).

141283722240 is an abundant number, since it is smaller than the sum of its proper divisors (361242659520).

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

141283722240 is a wasteful number, since it uses less digits than its factorization.

141283722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 141283722240 in words is "one hundred forty-one billion, two hundred eighty-three million, seven hundred twenty-two thousand, two hundred forty".