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241036106148 = 22326695447393
BaseRepresentation
bin1110000001111011011…
…1110001100110100100
3212001011012221212102200
43200132313301212210
512422120220344043
6302421440134500
723262046045305
oct3403667614644
9761135855380
10241036106148
119324a664112
123a86a607430
1319963c40ca6
14b9481187ac
15640adc07d3
hex381edf19a4

241036106148 has 18 divisors (see below), whose sum is σ = 609285712854. Its totient is φ = 80345368704.

The previous prime is 241036106147. The next prime is 241036106173. The reversal of 241036106148 is 841601630142.

241036106148 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 36 + 1 + 0 + 614 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145655195904 + 95380910244 = 381648^2 + 308838^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6695447393 = 241036106148 / (2 + 4 + 1 + 0 + 3 + 6 + 1 + 0 + 6 + 1 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (241036106147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3347723661 + ... + 3347723732.

Almost surely, 2241036106148 is an apocalyptic number.

It is an amenable number.

241036106148 is an abundant number, since it is smaller than the sum of its proper divisors (368249606706).

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

241036106148 is a wasteful number, since it uses less digits than its factorization.

241036106148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695447403 (or 6695447398 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 24103 and 6106148, that added together give a triangular number (6130251 = T3501).

The spelling of 241036106148 in words is "two hundred forty-one billion, thirty-six million, one hundred six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 6695447393 13390894786 20086342179 26781789572 40172684358 60259026537 80345368716 120518053074 241036106148