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141352506444366 = 2337619713923271
BaseRepresentation
bin100000001000111100110001…
…111011110100101001001110
3200112111011112012201201202000
4200020330301323310221032
5122011404413122204431
61220344240042013130
741526244611262260
oct4010746173645116
9615434465651660
10141352506444366
1141048296921208
1213a2b0904a71a6
1360b463a922319
1426c96d8013b30
151151d82d569e6
hex808f31ef4a4e

141352506444366 has 384 divisors, whose sum is σ = 371421847480320. Its totient is φ = 39020055091200.

The previous prime is 141352506444353. The next prime is 141352506444389. The reversal of 141352506444366 is 663444605253141.

141352506444366 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 52 + 506 + 44 + 43 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 43213849311 + ... + 43213852581.

It is an arithmetic number, because the mean of its divisors is an integer number (967244394480).

Almost surely, 2141352506444366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141352506444366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185710923740160).

141352506444366 is an abundant number, since it is smaller than the sum of its proper divisors (230069341035954).

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

141352506444366 is a wasteful number, since it uses less digits than its factorization.

141352506444366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 141352506444366 in words is "one hundred forty-one trillion, three hundred fifty-two billion, five hundred six million, four hundred forty-four thousand, three hundred sixty-six".