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141107048001468 = 223227971401372979
BaseRepresentation
bin100000000101011000001011…
…011110001010111110111100
3200111121200221210100212202100
4200011120023132022332330
5121443344213242021333
61220035403303425100
741502435123034623
oct4005301336127674
9614550853325670
10141107048001468
1140a63187a4203a
12139ab5a8a55190
13609745072a433
1426bb8908486ba
15114a7b8ad9213
hex80560b78afbc

141107048001468 has 36 divisors (see below), whose sum is σ = 356814785421640. Its totient is φ = 47018866157856.

The previous prime is 141107048001467. The next prime is 141107048001497. The reversal of 141107048001468 is 864100840701141.

141107048001468 is a `hidden beast` number, since 1 + 4 + 1 + 107 + 0 + 4 + 80 + 0 + 1 + 468 = 666.

141107048001468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1411070480014682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141107048001467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700585798 + ... + 700787181.

Almost surely, 2141107048001468 is an apocalyptic number.

141107048001468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141107048001468 is an abundant number, since it is smaller than the sum of its proper divisors (215707737420172).

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

141107048001468 is a wasteful number, since it uses less digits than its factorization.

141107048001468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401375786 (or 1401375781 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 141107048001468 in words is "one hundred forty-one trillion, one hundred seven billion, forty-eight million, one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2797 5594 8391 11188 16782 25173 33564 50346 100692 1401372979 2802745958 4204118937 5605491916 8408237874 12612356811 16816475748 25224713622 50449427244 3919640222263 7839280444526 11758920666789 15678560889052 23517841333578 35276762000367 47035682667156 70553524000734 141107048001468