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141301330632 = 23347112257447
BaseRepresentation
bin1000001110011000110…
…1110011001011001000
3111111201112101022210000
42003212031303023020
54303341120040012
6144525105523000
713131402331110
oct2034615631310
9444645338700
10141301330632
1154a1aa10100
1223475643460
131042b374817
146ba63b8040
153a200c5ddc
hex20e63732c8

141301330632 has 240 divisors, whose sum is σ = 497173279680. Its totient is φ = 36701501760.

The previous prime is 141301330619. The next prime is 141301330649. The reversal of 141301330632 is 236033103141.

141301330632 is a `hidden beast` number, since 1 + 4 + 13 + 0 + 13 + 3 + 0 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 141301330596 and 141301330605.

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 59 ways as a sum of consecutive naturals, for example, 420133 + ... + 677579.

It is an arithmetic number, because the mean of its divisors is an integer number (2071555332).

Almost surely, 2141301330632 is an apocalyptic number.

141301330632 is a gapful number since it is divisible by the number (12) 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 141301330632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248586639840).

141301330632 is an abundant number, since it is smaller than the sum of its proper divisors (355871949048).

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

141301330632 is a wasteful number, since it uses less digits than its factorization.

141301330632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257494 (or 257470 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 141301330632 its reverse (236033103141), we get a palindrome (377334433773).

The spelling of 141301330632 in words is "one hundred forty-one billion, three hundred one million, three hundred thirty thousand, six hundred thirty-two".