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141040006272 = 2733118344699
BaseRepresentation
bin1000001101011010100…
…0111011010010000000
3111111001022122200011000
42003112220323102000
54302322220200042
6144443132452000
713122050162364
oct2032650732200
9444038580130
10141040006272
11548a6452260
122340201a000
13103b9198819
146b7d7d12a4
153a071a674c
hex20d6a3b480

141040006272 has 256 divisors, whose sum is σ = 459587520000. Its totient is φ = 42223518720.

The previous prime is 141040006267. The next prime is 141040006333. The reversal of 141040006272 is 272600040141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3132979 + ... + 3177677.

It is an arithmetic number, because the mean of its divisors is an integer number (1795263750).

Almost surely, 2141040006272 is an apocalyptic number.

141040006272 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 141040006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229793760000).

141040006272 is an abundant number, since it is smaller than the sum of its proper divisors (318547513728).

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

141040006272 is a wasteful number, since it uses less digits than its factorization.

141040006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44816 (or 44798 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 141040006272 in words is "one hundred forty-one billion, forty million, six thousand, two hundred seventy-two".