Search a number
-
+
241005253440501 = 32115693992943067
BaseRepresentation
bin110110110011000101101000…
…100001010011001111110101
31011121022212200111020220221100
4312303011220201103033311
5223042112224340044001
62212324141315440313
7101523024564546414
oct6663055041231765
91147285614226840
10241005253440501
116a878832633980
12230445238b6099
13a46290c329444
144372a0613b47b
151cce17683c586
hexdb31688533f5

241005253440501 has 48 divisors (see below), whose sum is σ = 379879636743360. Its totient is φ = 146020034376960.

The previous prime is 241005253440487. The next prime is 241005253440517. The reversal of 241005253440501 is 105044352500142.

241005253440501 is a `hidden beast` number, since 2 + 4 + 10 + 0 + 52 + 53 + 4 + 40 + 501 = 666.

It is not a de Polignac number, because 241005253440501 - 27 = 241005253440373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241005253440571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5596032370 + ... + 5596075436.

It is an arithmetic number, because the mean of its divisors is an integer number (7914159098820).

Almost surely, 2241005253440501 is an apocalyptic number.

It is an amenable number.

241005253440501 is a deficient number, since it is larger than the sum of its proper divisors (138874383302859).

241005253440501 is a wasteful number, since it uses less digits than its factorization.

241005253440501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58706 (or 58703 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 241005253440501 in words is "two hundred forty-one trillion, five billion, two hundred fifty-three million, four hundred forty thousand, five hundred one".

Divisors: 1 3 9 11 33 99 5693 9929 17079 29787 43067 51237 62623 89361 109219 129201 187869 327657 387603 473737 563607 982971 1421211 4263633 56525797 169577391 245180431 427612243 508732173 621783767 735541293 1282836729 1865351301 2206623879 2696984741 3848510187 4703734673 5596053903 8090954223 14111204019 24272862669 42333612057 2434396499399 7303189498197 21909568494591 26778361493389 80335084480167 241005253440501