Search a number
-
+
242865899757 = 32132578076953
BaseRepresentation
bin1110001000101111101…
…1111000100011101101
3212012212202001000101100
43202023323320203231
512434342132243012
6303323203033313
723355305041455
oct3421373704355
9765782030340
10242865899757
1193aa9518138
123b09b36b839
1319b960630c0
14ba7d148d65
1564b68618dc
hex388bef88ed

242865899757 has 24 divisors (see below), whose sum is σ = 379261452024. Its totient is φ = 148874379264.

The previous prime is 242865899711. The next prime is 242865899767. The reversal of 242865899757 is 757998568242.

242865899757 is a `hidden beast` number, since 2 + 428 + 65 + 8 + 9 + 97 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50514360516 + 192351539241 = 224754^2 + 438579^2 .

It is not a de Polignac number, because 242865899757 - 231 = 240718416109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242865899707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4008408 + ... + 4068545.

It is an arithmetic number, because the mean of its divisors is an integer number (15802560501).

Almost surely, 2242865899757 is an apocalyptic number.

It is an amenable number.

242865899757 is a deficient number, since it is larger than the sum of its proper divisors (136395552267).

242865899757 is a wasteful number, since it uses less digits than its factorization.

242865899757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077229 (or 8077226 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 242865899757 in words is "two hundred forty-two billion, eight hundred sixty-five million, eight hundred ninety-nine thousand, seven hundred fifty-seven".

Divisors: 1 3 9 13 39 117 257 771 2313 3341 10023 30069 8076953 24230859 72692577 105000389 315001167 945003501 2075776921 6227330763 18681992289 26985099973 80955299919 242865899757