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141019358725728 = 25337233313062747
BaseRepresentation
bin100000000100000110100000…
…110010001000011001100000
3200111022022121120112010102000
4200010012200302020121200
5121440430121313210403
61215531222110124000
741463212112346530
oct4004064062103140
9614268546463360
10141019358725728
1140a29a796a731a
12139965b5ab0600
13608c0b7566722
1426b75327ab4c0
15114838554b7a3
hex8041a0c88660

141019358725728 has 384 divisors, whose sum is σ = 491984157450240. Its totient is φ = 38423006138880.

The previous prime is 141019358725723. The next prime is 141019358725793. The reversal of 141019358725728 is 827527853910141.

141019358725728 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 1 + 9 + 3 + 58 + 7 + 2 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141019358725723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44512051 + ... + 47574797.

It is an arithmetic number, because the mean of its divisors is an integer number (1281208743360).

Almost surely, 2141019358725728 is an apocalyptic number.

141019358725728 is a gapful number since it is divisible by the number (18) 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 141019358725728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245992078725120).

141019358725728 is an abundant number, since it is smaller than the sum of its proper divisors (350964798724512).

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

141019358725728 is a wasteful number, since it uses less digits than its factorization.

141019358725728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063127 (or 3063113 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 141019358725728 in words is "one hundred forty-one trillion, nineteen billion, three hundred fifty-eight million, seven hundred twenty-five thousand, seven hundred twenty-eight".