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241233242112 = 2113219076863
BaseRepresentation
bin1110000010101010011…
…1110010100000000000
3212001122221220102010200
43200222213302200000
512423021202221422
6302453201325200
723266661503602
oct3405247624000
9761587812120
10241233242112
11933409702a5
123a904636800
1319995a347a5
14b966393172
15641d3612ac
hex382a9f2800

241233242112 has 144 divisors (see below), whose sum is σ = 697192816320. Its totient is φ = 80357203968.

The previous prime is 241233242101. The next prime is 241233242119. The reversal of 241233242112 is 211242332142.

241233242112 is a `hidden beast` number, since 2 + 4 + 1 + 233 + 2 + 421 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (241233242119) 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, 35146393 + ... + 35153255.

It is an arithmetic number, because the mean of its divisors is an integer number (4841616780).

Almost surely, 2241233242112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241233242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348596408160).

241233242112 is an abundant number, since it is smaller than the sum of its proper divisors (455959574208).

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

241233242112 is a wasteful number, since it uses less digits than its factorization.

241233242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798 (or 8775 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 241233242112 its reverse (211242332142), we get a palindrome (452475574254).

The spelling of 241233242112 in words is "two hundred forty-one billion, two hundred thirty-three million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1907 2048 2304 3072 3814 4608 5721 6144 6863 7628 9216 11442 13726 15256 17163 18432 20589 22884 27452 30512 34326 41178 45768 54904 61024 61767 68652 82356 91536 109808 122048 123534 137304 164712 183072 219616 244096 247068 274608 329424 366144 439232 488192 494136 549216 658848 732288 878464 976384 988272 1098432 1317696 1464576 1756928 1952768 1976544 2196864 2635392 2929152 3513856 3905536 3953088 4393728 5270784 5858304 7027712 7906176 8787456 10541568 11716608 13087741 14055424 15812352 17574912 21083136 26175482 31624704 35149824 39263223 42166272 52350964 63249408 78526446 104701928 117789669 126498816 157052892 209403856 235579338 314105784 418807712 471158676 628211568 837615424 942317352 1256423136 1675230848 1884634704 2512846272 3350461696 3769269408 5025692544 6700923392 7538538816 10051385088 13401846784 15077077632 20102770176 26803693568 30154155264 40205540352 60308310528 80411080704 120616621056 241233242112