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421224422124 = 2231113124359497
BaseRepresentation
bin1100010000100101110…
…11101001101011101100
31111021020212001201122010
412020102323221223230
523400131423001444
6521301405121220
742301222340502
oct6102273515354
91437225051563
10421224422124
11152705228930
1269777259210
133094b8ab5bc
141655cd34672
15ae54dc62b9
hex6212ee9aec

421224422124 has 48 divisors (see below), whose sum is σ = 1080392455296. Its totient is φ = 126669379200.

The previous prime is 421224422119. The next prime is 421224422147.

421224422124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421224422091 and 421224422100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12162457 + ... + 12197040.

It is an arithmetic number, because the mean of its divisors is an integer number (22508176152).

Almost surely, 2421224422124 is an apocalyptic number.

421224422124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421224422124 is an abundant number, since it is smaller than the sum of its proper divisors (659168033172).

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

421224422124 is a wasteful number, since it uses less digits than its factorization.

421224422124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24359646 (or 24359644 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 421224 and 422124, that added together give a palindrome (843348).

The spelling of 421224422124 in words is "four hundred twenty-one billion, two hundred twenty-four million, four hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5764 8646 17292 24359497 48718994 73078491 97437988 146156982 267954467 292313964 535908934 803863401 1071817868 1607726802 3191094107 3215453604 6382188214 9573282321 12764376428 19146564642 35102035177 38293129284 70204070354 105306105531 140408140708 210612211062 421224422124