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242234351541 = 32713881335719
BaseRepresentation
bin1110000110011001001…
…0101101111110110101
3212011020201200001002200
43201212102231332311
512432043443222131
6303140402455113
723333536005150
oct3414622557665
9764221601080
10242234351541
1193804a81666
123ab43964499
1319ac526c930
14ba1d30cc97
15647b1b12e6
hex38664adfb5

242234351541 has 48 divisors (see below), whose sum is σ = 431128938240. Its totient is φ = 127626554880.

The previous prime is 242234351519. The next prime is 242234351591. The reversal of 242234351541 is 145153432242.

It is a happy number.

242234351541 is a `hidden beast` number, since 2 + 4 + 2 + 23 + 43 + 51 + 541 = 666.

It is not a de Polignac number, because 242234351541 - 26 = 242234351477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242234351496 and 242234351505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242234351591) 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, 553680 + ... + 889398.

It is an arithmetic number, because the mean of its divisors is an integer number (8981852880).

Almost surely, 2242234351541 is an apocalyptic number.

242234351541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242234351541 is a deficient number, since it is larger than the sum of its proper divisors (188894586699).

242234351541 is a wasteful number, since it uses less digits than its factorization.

242234351541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336626 (or 336623 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 242234351541 its reverse (145153432242), we get a palindrome (387387783783).

The spelling of 242234351541 in words is "two hundred forty-two billion, two hundred thirty-four million, three hundred fifty-one thousand, five hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 881 2643 6167 7929 11453 18501 34359 55503 80171 103077 240513 335719 721539 1007157 2350033 3021471 4364347 7050099 13093041 21150297 30550429 39279123 91651287 274953861 295768439 887305317 2070379073 2661915951 3844989707 6211137219 11534969121 18633411657 26914927949 34604907363 80744783847 242234351541