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423242403312 = 243318333710169
BaseRepresentation
bin1100010100010110011…
…01101000110111110000
31111110110111020210102010
412022023031220313300
523413300023401222
6522233533322520
742402225032541
oct6121315506760
91443414223363
10423242403312
11153550336a83
126a03b036440
1330bb09b0201
14166b0d504c8
15b02213b80c
hex628b368df0

423242403312 has 160 divisors (see below), whose sum is σ = 1145746667520. Its totient is φ = 134471393280.

The previous prime is 423242403277. The next prime is 423242403461. The reversal of 423242403312 is 213304242324.

It is a super-2 number, since 2×4232424033122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 423242403312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41615764 + ... + 41625932.

It is an arithmetic number, because the mean of its divisors is an integer number (7160916672).

Almost surely, 2423242403312 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 423242403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572873333760).

423242403312 is an abundant number, since it is smaller than the sum of its proper divisors (722504264208).

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

423242403312 is a wasteful number, since it uses less digits than its factorization.

423242403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 423242403312 its reverse (213304242324), we get a palindrome (636546645636).

The spelling of 423242403312 in words is "four hundred twenty-three billion, two hundred forty-two million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 248 249 332 337 372 496 498 664 674 744 996 1011 1328 1348 1488 1992 2022 2573 2696 3984 4044 5146 5392 7719 8088 10169 10292 10447 15438 16176 20338 20584 20894 27971 30507 30876 31341 40676 41168 41788 55942 61014 61752 62682 81352 83576 83913 111884 122028 123504 125364 162704 167152 167826 223768 244056 250728 315239 335652 447536 488112 501456 630478 671304 844027 867101 945717 1260956 1342608 1688054 1734202 1891434 2521912 2532081 2601303 3376108 3426953 3468404 3782868 5043824 5064162 5202606 6752216 6853906 6936808 7565736 10128324 10280859 10405212 13504432 13707812 13873616 15131472 20256648 20561718 20810424 26164837 27415624 40513296 41123436 41620848 52329674 54831248 78494511 82246872 104659348 106235543 156989022 164493744 209318696 212471086 284437099 313978044 318706629 418637392 424942172 568874198 627956088 637413258 849884344 853311297 1137748396 1255912176 1274826516 1699768688 1706622594 2275496792 2549653032 3413245188 4550993584 5099306064 6826490376 8817550069 13652980752 17635100138 26452650207 35270200276 52905300414 70540400552 105810600828 141080801104 211621201656 423242403312