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141563460192 = 253721123171113
BaseRepresentation
bin1000001111010111010…
…1101111101001100000
3111112101210121212221020
42003311311233221200
54304410221211232
6145011112125440
713141034362200
oct2036565575140
9445353555836
10141563460192
1155044978a00
1223529396880
131047077317b
146bcd130400
153a38103e2c
hex20f5d6fa60

141563460192 has 864 divisors, whose sum is σ = 501781174272. Its totient is φ = 34771968000.

The previous prime is 141563460167. The next prime is 141563460211. The reversal of 141563460192 is 291064365141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1252773928 + ... + 1252774040.

It is an arithmetic number, because the mean of its divisors is an integer number (580765248).

Almost surely, 2141563460192 is an apocalyptic number.

141563460192 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 141563460192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250890587136).

141563460192 is an abundant number, since it is smaller than the sum of its proper divisors (360217714080).

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

141563460192 is a wasteful number, since it uses less digits than its factorization.

141563460192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 141563460192 in words is "one hundred forty-one billion, five hundred sixty-three million, four hundred sixty thousand, one hundred ninety-two".