Search a number
-
+
141175557120 = 210351319127293
BaseRepresentation
bin1000001101111010111…
…0000000110000000000
3111111101202201100221210
42003132232000300000
54303111420311440
6144504414050120
713125314302353
oct2033656006000
9444352640853
10141175557120
1154965a15654
122343b4a9940
131040b2a8a20
146b937d829a
153a1402ea80
hex20deb80c00

141175557120 has 704 divisors, whose sum is σ = 517659770880. Its totient is φ = 32551206912.

The previous prime is 141175557091. The next prime is 141175557137. The reversal of 141175557120 is 21755571141.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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, 481827694 + ... + 481827986.

Almost surely, 2141175557120 is an apocalyptic number.

141175557120 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 141175557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258829885440).

141175557120 is an abundant number, since it is smaller than the sum of its proper divisors (376484213760).

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

141175557120 is a wasteful number, since it uses less digits than its factorization.

141175557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 39.

The spelling of 141175557120 in words is "one hundred forty-one billion, one hundred seventy-five million, five hundred fifty-seven thousand, one hundred twenty".