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434442442122 = 232132301147431
BaseRepresentation
bin1100101001001101100…
…10011001010110001010
31112112101001002201022100
412110212302121112022
524104214231121442
6531325145134230
743246613554113
oct6244662312612
91475331081270
10434442442122
111582784839a7
1270245a8a376
1331c771a6700
141705461320a
15b47a54184c
hex6526c9958a

434442442122 has 72 divisors (see below), whose sum is σ = 1019628818208. Its totient is φ = 133627384800.

The previous prime is 434442442121. The next prime is 434442442127. The reversal of 434442442122 is 221244244434.

434442442122 is a `hidden beast` number, since 434 + 4 + 4 + 2 + 4 + 4 + 212 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (434442442121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9135747 + ... + 9183177.

It is an arithmetic number, because the mean of its divisors is an integer number (14161511364).

Almost surely, 2434442442122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434442442122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509814409104).

434442442122 is an abundant number, since it is smaller than the sum of its proper divisors (585186376086).

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

434442442122 is a wasteful number, since it uses less digits than its factorization.

434442442122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50476 (or 50460 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 434442442122 its reverse (221244244434), we get a palindrome (655686686556).

The spelling of 434442442122 in words is "four hundred thirty-four billion, four hundred forty-two million, four hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3011 3042 6022 9033 18066 27099 39143 47431 54198 78286 94862 117429 142293 234858 284586 352287 426879 508859 616603 704574 853758 1017718 1233206 1526577 1849809 3053154 3699618 4579731 5549427 8015839 9159462 11098854 16031678 24047517 48095034 72142551 142814741 144285102 285629482 428444223 856888446 1285332669 1856591633 2570665338 3713183266 5569774899 11139549798 16709324697 24135691229 33418649394 48271382458 72407073687 144814147374 217221221061 434442442122