Search a number
-
+
141412551322500 = 223254125913213779
BaseRepresentation
bin100000001001110100101100…
…111000110110101110000100
3200112200220111211202120201100
4200021310230320312232010
5122013400401114310000
61220432010152100100
741533501564313103
oct4011645470665604
9615626454676640
10141412551322500
11410707a9670937
1213a3a849394630
1360ba1b9763503
1426cc59282a03a
1511536e94c1a00
hex809d2ce36b84

141412551322500 has 360 divisors, whose sum is σ = 447492979533600. Its totient is φ = 37641574080000.

The previous prime is 141412551322499. The next prime is 141412551322561. The reversal of 141412551322500 is 5223155214141.

141412551322500 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 12 + 5 + 5 + 132 + 2 + 500 = 666.

141412551322500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37420625611 + ... + 37420629389.

It is an arithmetic number, because the mean of its divisors is an integer number (1243036054260).

Almost surely, 2141412551322500 is an apocalyptic number.

141412551322500 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 141412551322500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223746489766800).

141412551322500 is an abundant number, since it is smaller than the sum of its proper divisors (306080428211100).

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

141412551322500 is a wasteful number, since it uses less digits than its factorization.

141412551322500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 141412551322500 in words is "one hundred forty-one trillion, four hundred twelve billion, five hundred fifty-one million, three hundred twenty-two thousand, five hundred".