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148857844041 = 3416322632
BaseRepresentation
bin1000101010100010011…
…1100111000101001001
3112020020011021222110000
42022220213213011021
54414330102002131
6152215004113213
713516556540334
oct2125047470511
9466204258400
10148857844041
1158148410505
1224a24235809
1311063a5b82a
1472c1bdb61b
153d136bcce6
hex22a89e7149

148857844041 has 45 divisors (see below), whose sum is σ = 224594439069. Its totient is φ = 98254719144.

The previous prime is 148857844027. The next prime is 148857844139. The reversal of 148857844041 is 140448758841.

The square root of 148857844041 is 385821.

It is a perfect power (a square), and thus also a powerful number.

148857844041 is a `hidden beast` number, since 1 + 488 + 5 + 7 + 84 + 40 + 41 = 666.

It is not a de Polignac number, because 148857844041 - 221 = 148855746889 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (148857845041) 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 44 ways as a sum of consecutive naturals, for example, 565999276 + ... + 565999538.

Almost surely, 2148857844041 is an apocalyptic number.

148857844041 is the 385821-st square number.

148857844041 is the 192911-st centered octagonal number.

It is an amenable number.

148857844041 is a deficient number, since it is larger than the sum of its proper divisors (75736595028).

148857844041 is an frugal number, since it uses more digits than its factorization.

148857844041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 148857844041 in words is "one hundred forty-eight billion, eight hundred fifty-seven million, eight hundred forty-four thousand, forty-one".

Divisors: 1 3 9 27 81 163 263 489 789 1467 2367 4401 7101 13203 21303 26569 42869 69169 79707 128607 207507 239121 385821 622521 717363 1157463 1867563 2152089 3472389 5602689 6987647 11274547 20962941 33823641 62888823 101470923 188666469 304412769 565999407 913238307 1837751161 5513253483 16539760449 49619281347 148857844041