Search a number
-
+
141003389952000 = 21336531741271
BaseRepresentation
bin100000000011110111101000…
…111110000110000000000000
3200111020210101200110101000000
4200003313220332012000000
5121440144420311431000
61215520021344000000
741462105310123102
oct4003675076060000
9614223350411000
10141003389952000
1140a2322474a264
121399349a000000
13608a7410c46a4
1426b6859a47572
151147c4d673000
hex803de8f86000

141003389952000 has 3136 divisors, whose sum is σ = 574419125000448. Its totient is φ = 34398535680000.

The previous prime is 141003389951927. The next prime is 141003389952023. The reversal of 141003389952000 is 259983300141.

It is a happy number.

141003389952000 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 3 + 38 + 99 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 520307711865 + ... + 520307712135.

Almost surely, 2141003389952000 is an apocalyptic number.

141003389952000 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 141003389952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287209562500224).

141003389952000 is an abundant number, since it is smaller than the sum of its proper divisors (433415735048448).

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

141003389952000 is an frugal number, since it uses more digits than its factorization.

141003389952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 141003389952000 in words is "one hundred forty-one trillion, three billion, three hundred eighty-nine million, nine hundred fifty-two thousand".