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430042043430 = 23451779395321
BaseRepresentation
bin1100100001000001000…
…00001101010000100110
31112010000100222022010000
412100200200031100212
524021211230342210
6525320353242130
743032562025316
oct6204040152046
91463010868100
10430042043430
1115641a58226a
126b418263346
13317256340bc
1416b58033446
15b2be079ac0
hex642080d426

430042043430 has 160 divisors (see below), whose sum is σ = 1239856295040. Its totient is φ = 106565621760.

The previous prime is 430042043377. The next prime is 430042043441. The reversal of 430042043430 is 34340240034.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 430042043394 and 430042043403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 890170 + ... + 1285490.

It is an arithmetic number, because the mean of its divisors is an integer number (7749101844).

Almost surely, 2430042043430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430042043430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619928147520).

430042043430 is an abundant number, since it is smaller than the sum of its proper divisors (809814251610).

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

430042043430 is a wasteful number, since it uses less digits than its factorization.

430042043430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395436 (or 395427 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 430042043430 its reverse (34340240034), we get a palindrome (464382283464).

The spelling of 430042043430 in words is "four hundred thirty billion, forty-two million, forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 79 81 85 90 102 135 153 158 162 170 237 255 270 306 395 405 459 474 510 711 765 790 810 918 1185 1343 1377 1422 1530 2133 2295 2370 2686 2754 3555 4029 4266 4590 6399 6715 6885 7110 8058 10665 12087 12798 13430 13770 20145 21330 24174 31995 36261 40290 60435 63990 72522 108783 120870 181305 217566 362610 395321 543915 790642 1087830 1185963 1976605 2371926 3557889 3953210 5929815 6720457 7115778 10673667 11859630 13440914 17789445 20161371 21347334 31230359 32021001 33602285 35578890 40322742 53368335 60484113 62460718 64042002 67204570 93691077 100806855 106736670 120968226 156151795 160105005 181452339 187382154 201613710 281073231 302420565 312303590 320210010 362904678 468455385 530916103 544357017 562146462 604841130 843219693 907261695 936910770 1061832206 1088714034 1405366155 1592748309 1686439386 1814523390 2529659079 2654580515 2721785085 2810732310 3185496618 4216098465 4778244927 5059318158 5309161030 5443570170 7963741545 8432196930 9556489854 12648295395 14334734781 15927483090 23891224635 25296590790 28669469562 43004204343 47782449270 71673673905 86008408686 143347347810 215021021715 430042043430