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402421303124204 = 2272137919791010203
BaseRepresentation
bin101101110000000000000001…
…0110100101010000011101100
31221202212002201112021011200212
41123200000002310222003230
5410221232312044433304
63543513443340041552
7150522660015620300
oct13340000264520354
91852762645234625
10402421303124204
11107250a0956a351
1239173b402332b8
1314371220a880a0
14715341b677d00
15317cd7cd7b66e
hex16e0002d2a0ec

402421303124204 has 144 divisors (see below), whose sum is σ = 893851127769600. Its totient is φ = 157104869410944.

The previous prime is 402421303124179. The next prime is 402421303124209.

It is a happy number.

402421303124204 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (402421303124209) 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, 397851767 + ... + 398861969.

It is an arithmetic number, because the mean of its divisors is an integer number (6207299498400).

Almost surely, 2402421303124204 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 402421303124204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446925563884800).

402421303124204 is an abundant number, since it is smaller than the sum of its proper divisors (491429824645396).

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

402421303124204 is a wasteful number, since it uses less digits than its factorization.

402421303124204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012292 (or 1012283 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 40242130 and 3124204, that added together give a palindrome (43366334).

The spelling of 402421303124204 in words is "four hundred two trillion, four hundred twenty-one billion, three hundred three million, one hundred twenty-four thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 79 91 98 158 182 196 316 364 553 637 1027 1106 1274 1979 2054 2212 2548 3871 3958 4108 7189 7742 7916 13853 14378 15484 25727 27706 28756 50323 51454 55412 96971 100646 102908 156341 180089 193942 201292 312682 360178 387884 625364 720356 1010203 1094387 1260623 2020406 2032433 2188774 2521246 4040812 4064866 4377548 5042492 7071421 7660709 8129732 13132639 14142842 14227031 15321418 26265278 28285684 28454062 30642836 49499947 52530556 56908124 79806037 91928473 98999894 99589217 159612074 183856946 197999788 199178434 319224148 367713892 398356868 558642259 643499311 1037478481 1117284518 1286998622 1999191737 2074956962 2234569036 2573997244 3910495813 3998383474 4149913924 7262349367 7820991626 7996766948 13994342159 14524698734 15641983252 25989492581 27988684318 29049397468 50836445569 51978985162 55977368636 97960395113 101672891138 103957970324 157936147223 181926448067 195920790226 203345782276 315872294446 363852896134 391841580452 631744588892 727705792268 1105553030561 1273485136469 2053169913899 2211106061122 2546970272938 4106339827798 4422212122244 5093940545876 7738871213927 8212679655596 14372189397293 15477742427854 28744378794586 30955484855708 57488757589172 100605325781051 201210651562102 402421303124204