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146998061140 = 225719293161471
BaseRepresentation
bin1000100011100111000…
…1000110100001010100
3112001102112210012220211
42020321301012201110
54402023000424030
6151310250335204
713422514621630
oct2107161064124
9461375705824
10146998061140
1157383634047
12245a542a504
1310b28669588
147186c01dc0
153c552a612a
hex2239c46854

146998061140 has 192 divisors, whose sum is σ = 396568166400. Its totient is φ = 44612467200.

The previous prime is 146998061071. The next prime is 146998061153. The reversal of 146998061140 is 41160899641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2360605 + ... + 2422075.

It is an arithmetic number, because the mean of its divisors is an integer number (2065459200).

Almost surely, 2146998061140 is an apocalyptic number.

146998061140 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 146998061140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198284083200).

146998061140 is an abundant number, since it is smaller than the sum of its proper divisors (249570105260).

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

146998061140 is a wasteful number, since it uses less digits than its factorization.

146998061140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61566 (or 61564 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 146998061140 in words is "one hundred forty-six billion, nine hundred ninety-eight million, sixty-one thousand, one hundred forty".