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141332142000 = 24353743139563
BaseRepresentation
bin1000001110100000001…
…1010101011110110000
3111111210200100201000210
42003220003111132300
54303422012021000
6144532130144120
713132225246140
oct2035003253660
9444720321023
10141332142000
1154a36345145
1223483a22040
1310434871bba
146baa518920
153a22b60350
hex20e80d57b0

141332142000 has 640 divisors, whose sum is σ = 537645588480. Its totient is φ = 31270579200.

The previous prime is 141332141999. The next prime is 141332142047. The reversal of 141332142000 is 241233141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251033719 + ... + 251034281.

It is an arithmetic number, because the mean of its divisors is an integer number (840071232).

Almost surely, 2141332142000 is an apocalyptic number.

141332142000 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 141332142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268822794240).

141332142000 is an abundant number, since it is smaller than the sum of its proper divisors (396313446480).

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

141332142000 is a wasteful number, since it uses less digits than its factorization.

141332142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 141332142000 its reverse (241233141), we get a palindrome (141573375141).

The spelling of 141332142000 in words is "one hundred forty-one billion, three hundred thirty-two million, one hundred forty-two thousand".