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128141016960 = 273511171732063
BaseRepresentation
bin111011101010111001…
…1001011111110000000
3110020202100221010022010
41313111303023332000
54044413100020320
6134511150412520
712154311446505
oct1672563137600
9406670833263
10128141016960
114a387299710
1220a02201140
13c111a02678
1462b863b4ac
1534eea58ae0
hex1dd5ccbf80

128141016960 has 512 divisors, whose sum is σ = 474749061120. Its totient is φ = 29054074880.

The previous prime is 128141016959. The next prime is 128141016967. The reversal of 128141016960 is 69610141821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128141016967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62112889 + ... + 62114951.

It is an arithmetic number, because the mean of its divisors is an integer number (927244260).

Almost surely, 2128141016960 is an apocalyptic number.

128141016960 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 128141016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237374530560).

128141016960 is an abundant number, since it is smaller than the sum of its proper divisors (346608044160).

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

128141016960 is a wasteful number, since it uses less digits than its factorization.

128141016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 128141016960 in words is "one hundred twenty-eight billion, one hundred forty-one million, sixteen thousand, nine hundred sixty".