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242371974117 = 37132677313963
BaseRepresentation
bin1110000110111001111…
…1101101001111100101
3212011121022121222210010
43201232133231033211
512432334211132432
6303202200320433
723340126534150
oct3415637551745
9764538558703
10242371974117
119387572a529
123ab81a73119
1319b17926b00
14ba336d4c97
1564882e83cc
hex386e7ed3e5

242371974117 has 96 divisors (see below), whose sum is σ = 411482661888. Its totient is φ = 124202377728.

The previous prime is 242371974079. The next prime is 242371974193. The reversal of 242371974117 is 711479173242.

It is a happy number.

It is not a de Polignac number, because 242371974117 - 210 = 242371973093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242371974197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17351178 + ... + 17365140.

It is an arithmetic number, because the mean of its divisors is an integer number (4286277728).

Almost surely, 2242371974117 is an apocalyptic number.

It is an amenable number.

242371974117 is a deficient number, since it is larger than the sum of its proper divisors (169110687771).

242371974117 is a wasteful number, since it uses less digits than its factorization.

242371974117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14139 (or 14126 counting only the distinct ones).

The product of its digits is 592704, while the sum is 48.

The spelling of 242371974117 in words is "two hundred forty-two billion, three hundred seventy-one million, nine hundred seventy-four thousand, one hundred seventeen".

Divisors: 1 3 7 13 21 39 67 73 91 169 201 219 273 469 507 511 871 949 1183 1407 1533 2613 2847 3549 4891 6097 6643 11323 12337 13963 14673 18291 19929 33969 34237 37011 41889 63583 79261 86359 97741 102711 181519 190749 237783 259077 293223 445081 544557 826579 935521 1019299 1270633 1335243 2359747 2479737 2806563 3057897 3811899 5786053 6548647 7079241 7135093 12161773 13250887 16518229 17358159 19645941 21405279 36485319 39752661 49554687 68293033 85132411 92756209 158103049 172261531 204879099 255397233 278268627 474309147 478051231 516784593 887809429 1106721343 1205830717 1434153693 2663428287 3320164029 3617492151 6214666003 11541522577 18643998009 34624567731 80790658039 242371974117