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242350461441 = 32112447984459
BaseRepresentation
bin1110000110110100110…
…1101001001000000001
3212011112211011000221100
43201231031221020001
512432313204231231
6303200111245013
723336445635034
oct3415515511001
9764484130840
10242350461441
1193864576760
123ab76819769
1319b1333400a
14ba308d501b
1564864991e6
hex386d369201

242350461441 has 12 divisors (see below), whose sum is σ = 381885575760. Its totient is φ = 146879067480.

The previous prime is 242350461439. The next prime is 242350461443. The reversal of 242350461441 is 144164053242.

242350461441 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 504 + 6 + 144 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (242350461439) and next prime (242350461443).

It is not a de Polignac number, because 242350461441 - 21 = 242350461439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242350461396 and 242350461405.

It is not an unprimeable number, because it can be changed into a prime (242350461443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1223992131 + ... + 1223992328.

It is an arithmetic number, because the mean of its divisors is an integer number (31823797980).

Almost surely, 2242350461441 is an apocalyptic number.

It is an amenable number.

242350461441 is a deficient number, since it is larger than the sum of its proper divisors (139535114319).

242350461441 is a wasteful number, since it uses less digits than its factorization.

242350461441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447984476 (or 2447984473 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 242350461441 in words is "two hundred forty-two billion, three hundred fifty million, four hundred sixty-one thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 2447984459 7343953377 22031860131 26927829049 80783487147 242350461441