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141071620032 = 2633723334999
BaseRepresentation
bin1000001101100010000…
…1100001011111000000
3111111010112010211002000
42003120201201133000
54302403313320112
6144450222224000
713122612661650
oct2033041413700
9444115124060
10141071620032
1154912285132
1223410725000
13103c28b71a5
146b83aa0360
153a09d4d7dc
hex20d88617c0

141071620032 has 224 divisors, whose sum is σ = 474268800000. Its totient is φ = 40280841216.

The previous prime is 141071620003. The next prime is 141071620043. The reversal of 141071620032 is 230026170141.

141071620032 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 7 + 1 + 620 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 141071619978 and 141071620005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28217469 + ... + 28222467.

Almost surely, 2141071620032 is an apocalyptic number.

141071620032 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 141071620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237134400000).

141071620032 is an abundant number, since it is smaller than the sum of its proper divisors (333197179968).

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

141071620032 is a wasteful number, since it uses less digits than its factorization.

141071620032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 141071620032 its reverse (230026170141), we get a palindrome (371097790173).

The spelling of 141071620032 in words is "one hundred forty-one billion, seventy-one million, six hundred twenty thousand, thirty-two".