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157944242961 = 3263601275929
BaseRepresentation
bin1001001100011000110…
…1011110001100010001
3120002200101221212111100
42103012031132030101
510041432211233321
6200320353135013
714261001625311
oct2230615361421
9502611855440
10157944242961
1160a904534aa
122673b25a469
1311b8139c93b
1479048a3441
154196264326
hex24c635e311

157944242961 has 12 divisors (see below), whose sum is σ = 228146098180. Its totient is φ = 105294124800.

The previous prime is 157944242927. The next prime is 157944243029. The reversal of 157944242961 is 169242449751.

157944242961 is a `hidden beast` number, since 1 + 5 + 79 + 442 + 42 + 96 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108846546561 + 49097696400 = 329919^2 + 221580^2 .

It is not a de Polignac number, because 157944242961 - 217 = 157944111889 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 157944242898 and 157944242907.

It is not an unprimeable number, because it can be changed into a prime (157944242461) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 434445 + ... + 710373.

Almost surely, 2157944242961 is an apocalyptic number.

It is an amenable number.

157944242961 is a deficient number, since it is larger than the sum of its proper divisors (70201855219).

157944242961 is a wasteful number, since it uses less digits than its factorization.

157944242961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339536 (or 339533 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 157944242961 in words is "one hundred fifty-seven billion, nine hundred forty-four million, two hundred forty-two thousand, nine hundred sixty-one".

Divisors: 1 3 9 63601 190803 275929 572409 827787 2483361 17549360329 52648080987 157944242961