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423113042430 = 232513273337951
BaseRepresentation
bin1100010100000111000…
…00001010100111111110
31111110010110211120122100
412022003200022213332
523413013414324210
6522213032525530
742366064343241
oct6120340124776
91443113746570
10423113042430
11153494311261
126a0038508a6
1330b8cc59600
141669bab9258
15b015ad75c0
hex628380a9fe

423113042430 has 144 divisors (see below), whose sum is σ = 1192882519296. Its totient is φ = 104006073600.

The previous prime is 423113042371. The next prime is 423113042437. The reversal of 423113042430 is 34240311324.

423113042430 is a `hidden beast` number, since 4 + 2 + 311 + 304 + 2 + 43 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 423113042394 and 423113042403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423113042437) 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, 11129955 + ... + 11167905.

It is an arithmetic number, because the mean of its divisors is an integer number (8283906384).

Almost surely, 2423113042430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423113042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596441259648).

423113042430 is an abundant number, since it is smaller than the sum of its proper divisors (769769476866).

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

423113042430 is a wasteful number, since it uses less digits than its factorization.

423113042430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38723 (or 38707 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 423113042430 its reverse (34240311324), we get a palindrome (457353353754).

The spelling of 423113042430 in words is "four hundred twenty-three billion, one hundred thirteen million, forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 733 845 1014 1170 1466 1521 1690 2199 2535 3042 3665 4398 5070 6597 7330 7605 9529 10995 13194 15210 19058 21990 28587 32985 37951 47645 57174 65970 75902 85761 95290 113853 123877 142935 171522 189755 227706 247754 285870 341559 371631 379510 428805 493363 569265 619385 683118 743262 857610 986726 1114893 1138530 1238770 1480089 1707795 1858155 2229786 2466815 2960178 3415590 3716310 4440267 4933630 5574465 6413719 7400445 8880534 11148930 12827438 14800890 19241157 22201335 27818083 32068595 38482314 44402670 55636166 57723471 64137190 83454249 96205785 115446942 139090415 166908498 192411570 250362747 278180830 288617355 361635079 417271245 500725494 577234710 723270158 834542490 1084905237 1251813735 1808175395 2169810474 2503627470 3254715711 3616350790 4701256027 5424526185 6509431422 9402512054 10849052370 14103768081 16273578555 23506280135 28207536162 32547157110 42311304243 47012560270 70518840405 84622608486 141037680810 211556521215 423113042430