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430114304412 = 22321317311917333
BaseRepresentation
bin1100100001001001100…
…11110111000110011100
31112010012101221112112200
412100210303313012130
524021333230220122
6525331454131500
743034430156612
oct6204463670634
91463171845480
10430114304412
11156457347a91
126b4384b0b90
13317375b4a90
1416b638836b2
15b2c55a05ac
hex6424cf719c

430114304412 has 144 divisors (see below), whose sum is σ = 1240210258560. Its totient is φ = 124510869504.

The previous prime is 430114304371. The next prime is 430114304467. The reversal of 430114304412 is 214403411034.

430114304412 is a `hidden beast` number, since 4 + 301 + 14 + 304 + 41 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 24806098 + ... + 24823430.

It is an arithmetic number, because the mean of its divisors is an integer number (8612571240).

Almost surely, 2430114304412 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 430114304412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620105129280).

430114304412 is an abundant number, since it is smaller than the sum of its proper divisors (810095954148).

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

430114304412 is a wasteful number, since it uses less digits than its factorization.

430114304412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20492 (or 20487 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 430114304412 its reverse (214403411034), we get a palindrome (644517715446).

The spelling of 430114304412 in words is "four hundred thirty billion, one hundred fourteen million, three hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3119 3978 6238 7956 9357 12476 17333 18714 28071 34666 37428 40547 51999 53023 56142 69332 81094 103998 106046 112284 121641 155997 159069 162188 207996 212092 225329 243282 294661 311994 318138 364923 450658 477207 486564 589322 623988 636276 675987 689299 729846 883983 901316 954414 1178644 1351974 1378598 1459692 1767966 1908828 2027961 2067897 2651949 2703948 2757196 3535932 3830593 4055922 4135794 5303898 6203691 7661186 8111844 8271588 10607796 11491779 12407382 15322372 22983558 24814764 34475337 45967116 54061627 68950674 108123254 137901348 162184881 216246508 324369762 486554643 648739524 702801151 919047659 973109286 1405602302 1838095318 1946218572 2108403453 2757142977 2811204604 3676190636 4216806906 5514285954 6325210359 8271428931 8433613812 11028571908 11947619567 12650420718 16542857862 23895239134 25300841436 33085715724 35842858701 47790478268 71685717402 107528576103 143371434804 215057152206 430114304412