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141130321920 = 2123357192101
BaseRepresentation
bin1000001101110000000…
…1011101000000000000
3111111021121121011221000
42003130001131000000
54303013330300140
6144500120332000
713124224641330
oct2033401350000
9444247534830
10141130321920
1154942429795
1223428314000
1310401acb333
146b8b7c10c0
153a10096a30
hex20dc05d000

141130321920 has 1248 divisors, whose sum is σ = 611171792640. Its totient is φ = 30257971200.

The previous prime is 141130321883. The next prime is 141130321933. The reversal of 141130321920 is 29123031141.

141130321920 is a `hidden beast` number, since 1 + 411 + 30 + 3 + 219 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1397329870 + ... + 1397329970.

Almost surely, 2141130321920 is an apocalyptic number.

141130321920 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 141130321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305585896320).

141130321920 is an abundant number, since it is smaller than the sum of its proper divisors (470041470720).

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

141130321920 is a wasteful number, since it uses less digits than its factorization.

141130321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 141130321920 in words is "one hundred forty-one billion, one hundred thirty million, three hundred twenty-one thousand, nine hundred twenty".