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404023200012 = 2232193156933487
BaseRepresentation
bin1011110000100011010…
…10001100100100001100
31102121212001221002212200
411320101222030210030
523104414414400022
6505334455201500
741122033352055
oct5702152144414
91377761832780
10404023200012
11146388622093
1266376676290
132c139cc3873
14157aa63572c
15a799c02bac
hex5e11a8c90c

404023200012 has 144 divisors (see below), whose sum is σ = 1111694438400. Its totient is φ = 123249911040.

The previous prime is 404023200011. The next prime is 404023200017. The reversal of 404023200012 is 210002320404.

It is a super-2 number, since 2×4040232000122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (404023200011) 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, 12048333 + ... + 12081819.

Almost surely, 2404023200012 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 404023200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555847219200).

404023200012 is an abundant number, since it is smaller than the sum of its proper divisors (707671238388).

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

404023200012 is a wasteful number, since it uses less digits than its factorization.

404023200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34116 (or 34111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 404023200012 its reverse (210002320404), we get a palindrome (614025520416).

The spelling of 404023200012 in words is "four hundred four billion, twenty-three million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 569 589 684 1116 1138 1178 1707 1767 2276 2356 3414 3534 5121 5301 6828 7068 10242 10602 10811 17639 20484 21204 21622 32433 33487 35278 43244 52917 64866 66974 70556 97299 100461 105834 129732 133948 158751 194598 200922 211668 301383 317502 335141 389196 401844 602766 635004 636253 670282 1005423 1038097 1205532 1272506 1340564 1908759 2010846 2076194 2545012 3016269 3114291 3817518 4021692 4152388 5726277 6032538 6228582 7635036 9342873 11452554 12065076 12457164 18685746 19054103 19723843 22905108 37371492 38108206 39447686 57162309 59171529 76216412 78895372 114324618 118343058 171486927 177514587 228649236 236686116 342973854 355029174 362027957 590677193 685947708 710058348 724055914 1086083871 1181354386 1448111828 1772031579 2172167742 2362708772 3258251613 3544063158 4344335484 5316094737 6516503226 7088126316 10632189474 11222866667 13033006452 21264378948 22445733334 33668600001 44891466668 67337200002 101005800003 134674400004 202011600006 404023200012