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141201840780 = 22325721113111953
BaseRepresentation
bin1000001110000001001…
…0010001101010001100
3111111110121011201100200
42003200102101222030
54303140132401110
6144511153253500
713126053562200
oct2034022215214
9444417151320
10141201840780
1154979837990
1223448264290
131041387c2a0
146b970bab00
153a164c26c0
hex20e0491a8c

141201840780 has 432 divisors, whose sum is σ = 585351041184. Its totient is φ = 27083427840.

The previous prime is 141201840737. The next prime is 141201840781. The reversal of 141201840780 is 87048102141.

141201840780 is a `hidden beast` number, since 1 + 41 + 201 + 8 + 407 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (141201840781) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1205284 + ... + 1317236.

It is an arithmetic number, because the mean of its divisors is an integer number (1354979262).

Almost surely, 2141201840780 is an apocalyptic number.

141201840780 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 141201840780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292675520592).

141201840780 is an abundant number, since it is smaller than the sum of its proper divisors (444149200404).

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

141201840780 is a wasteful number, since it uses less digits than its factorization.

141201840780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112006 (or 111994 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 141201840780 in words is "one hundred forty-one billion, two hundred one million, eight hundred forty thousand, seven hundred eighty".