Search a number
-
+
141151992804 = 2232626172
BaseRepresentation
bin1000001101110101010…
…0000111101111100100
3111111100010101011210100
42003131110013233210
54303034402232204
6144502213024100
713124610066624
oct2033524075744
9444303334710
10141151992804
1154953690409
1223433625030
1310406448144
146b90622884
153a11e27a39
hex20dd507be4

141151992804 has 27 divisors (see below), whose sum is σ = 356806568937. Its totient is φ = 47049912864.

The previous prime is 141151992757. The next prime is 141151992823. The reversal of 141151992804 is 408299151141.

It is a happy number.

The square root of 141151992804 is 375702.

It is a perfect power (a square), and thus also a powerful number.

141151992804 is a `hidden beast` number, since 1 + 41 + 1 + 519 + 92 + 8 + 0 + 4 = 666.

141151992804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2803702500 + 138348290304 = 52950^2 + 371952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 141151992804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2222904 + ... + 2285520.

Almost surely, 2141151992804 is an apocalyptic number.

141151992804 is the 375702-nd square number.

It is an amenable number.

141151992804 is an abundant number, since it is smaller than the sum of its proper divisors (215654576133).

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

141151992804 is an frugal number, since it uses more digits than its factorization.

141151992804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125244 (or 62622 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 141151992804 in words is "one hundred forty-one billion, one hundred fifty-one million, nine hundred ninety-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 62617 125234 187851 250468 375702 563553 751404 1127106 2254212 3920888689 7841777378 11762666067 15683554756 23525332134 35287998201 47050664268 70575996402 141151992804