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423411214122 = 2321331335917377
BaseRepresentation
bin1100010100101010100…
…01100110011100101010
31111110220020220021022100
412022111101212130222
523414121232322442
6522302403434230
742406344636411
oct6122521463452
91443806807270
10423411214122
11153627657046
126a087685976
1330c09967170
14166c9534478
15b031d8484c
hex629546672a

423411214122 has 96 divisors (see below), whose sum is σ = 1020191477760. Its totient is φ = 126032993280.

The previous prime is 423411214087. The next prime is 423411214133. The reversal of 423411214122 is 221412114324.

423411214122 is a `hidden beast` number, since 4 + 23 + 411 + 214 + 12 + 2 = 666.

It is a super-2 number, since 2×4234112141222 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24357498 + ... + 24374874.

It is an arithmetic number, because the mean of its divisors is an integer number (10626994560).

Almost surely, 2423411214122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423411214122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510095738880).

423411214122 is an abundant number, since it is smaller than the sum of its proper divisors (596780263638).

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

423411214122 is a wasteful number, since it uses less digits than its factorization.

423411214122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20788 (or 20785 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 423411214122 its reverse (221412114324), we get a palindrome (644823328446).

The spelling of 423411214122 in words is "four hundred twenty-three billion, four hundred eleven million, two hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3359 3627 6718 7254 10077 17377 20154 30231 34754 43667 52131 60462 87334 104129 104262 131001 156393 208258 225901 262002 312387 312786 393003 451802 538687 624774 677703 786006 937161 1077374 1353677 1355406 1616061 1874322 2033109 2707354 3232122 4061031 4066218 4848183 7002931 8122062 9696366 12183093 14005862 21008793 24366186 42017586 58369343 63026379 116738686 126052758 175108029 350216058 525324087 758801459 1050648174 1517602918 1809449633 2276404377 3618899266 4552808754 5428348899 6829213131 10856697798 13658426262 16285046697 23522845229 32570093394 47045690458 70568535687 141137071374 211705607061 423411214122