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242203033998 = 232172537112373
BaseRepresentation
bin1110000110010001101…
…1010000000110001110
3212011011112201221111200
43201210123100012032
512432012434041443
6303133323330330
723333005551312
oct3414433200616
9764145657450
10242203033998
11937993312a2
123ab353809a6
1319abb926043
14ba190b9b42
156478576dd3
hex38646d018e

242203033998 has 144 divisors (see below), whose sum is σ = 576022370976. Its totient is φ = 73495618560.

The previous prime is 242203033997. The next prime is 242203034009. The reversal of 242203033998 is 899330302242.

242203033998 is a `hidden beast` number, since 2 + 4 + 220 + 3 + 0 + 339 + 98 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242203033997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19568940 + ... + 19581312.

It is an arithmetic number, because the mean of its divisors is an integer number (4000155354).

Almost surely, 2242203033998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242203033998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288011185488).

242203033998 is an abundant number, since it is smaller than the sum of its proper divisors (333819336978).

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

242203033998 is a wasteful number, since it uses less digits than its factorization.

242203033998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 242203033998 in words is "two hundred forty-two billion, two hundred three million, thirty-three thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 51 53 71 102 106 142 153 159 213 289 306 318 426 477 578 639 867 901 954 1207 1278 1734 1802 2414 2601 2703 3621 3763 5202 5406 7242 7526 8109 10863 11289 12373 15317 16218 20519 21726 22578 24746 30634 33867 37119 41038 45951 61557 63971 67734 74238 91902 111357 123114 127942 137853 184671 191913 210341 222714 275706 369342 383826 420682 575739 631023 655769 878483 1087507 1151478 1262046 1311538 1756966 1893069 1967307 2175014 2635449 3262521 3575797 3786138 3934614 5270898 5901921 6525042 7151594 7906347 9787563 10727391 11148073 11803842 14934211 15812694 19575126 21454782 22296146 29868422 32182173 33444219 44802633 46559599 64364346 66888438 89605266 93119198 100332657 134407899 139678797 189517241 200665314 253881587 268815798 279357594 379034482 419036391 507763174 568551723 761644761 791513183 838072782 1137103446 1523289522 1583026366 1705655169 2284934283 2374539549 3411310338 4569868566 4749079098 7123618647 13455724111 14247237294 26911448222 40367172333 80734344666 121101516999 242203033998