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242401440011301 = 32199631589736373
BaseRepresentation
bin110111000111011001111011…
…101110011001010000100101
31011210021100111010121102222200
4313013121323232121100211
5223233001122120330201
62215313403443245113
7102025632440566164
oct6707317356312045
91153240433542880
10242401440011301
117026696754838a
122322b033979799
13a534485b7651c
1443c04140bb3db
151d0563eccc386
hexdc767bb99425

242401440011301 has 48 divisors (see below), whose sum is σ = 352522025606400. Its totient is φ = 160502443073280.

The previous prime is 242401440011273. The next prime is 242401440011329. The reversal of 242401440011301 is 103110044104242.

242401440011301 is a `hidden beast` number, since 2 + 4 + 240 + 1 + 4 + 400 + 1 + 13 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (242401440011273) and next prime (242401440011329).

It is not a de Polignac number, because 242401440011301 - 233 = 242392850076709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242401440019301) 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, 6664305351 + ... + 6664341723.

It is an arithmetic number, because the mean of its divisors is an integer number (7344208866800).

Almost surely, 2242401440011301 is an apocalyptic number.

It is an amenable number.

242401440011301 is a deficient number, since it is larger than the sum of its proper divisors (110120585595099).

242401440011301 is a wasteful number, since it uses less digits than its factorization.

242401440011301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43106 (or 43103 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 242401440011301 its reverse (103110044104242), we get a palindrome (345511484115543).

The spelling of 242401440011301 in words is "two hundred forty-two trillion, four hundred one billion, four hundred forty million, eleven thousand, three hundred one".

Divisors: 1 3 9 199 597 631 1791 1893 5679 5897 17691 36373 53073 109119 125569 327357 376707 1130121 1173503 3520509 3721007 7238227 10561527 11163021 21714681 22951363 33489063 65144043 68854089 206562267 214491581 643474743 740480393 1930424229 2221441179 4567321237 6664323537 13701963711 41105891133 42683824619 128051473857 135344187611 384154421571 406032562833 1218097688499 26933493334589 80800480003767 242401440011301