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421326623124 = 22321110125141969
BaseRepresentation
bin1100010000110010000…
…01100001000110010100
31111021111222101002001100
412020121001201012110
523400334103414444
6521315455430100
742303603130551
oct6103101410624
91437458332040
10421326623124
11152757992a70
12697a5525330
1330966b12b74
141656c739a28
15ae5dd62e69
hex6219061194

421326623124 has 144 divisors (see below), whose sum is σ = 1178046192960. Its totient is φ = 125904000000.

The previous prime is 421326623099. The next prime is 421326623129.

421326623124 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 2 + 6 + 623 + 1 + 24 = 666.

421326623124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4213266231242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421326623129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10018012 + ... + 10059980.

It is an arithmetic number, because the mean of its divisors is an integer number (8180876340).

Almost surely, 2421326623124 is an apocalyptic number.

421326623124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421326623124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589023096480).

421326623124 is an abundant number, since it is smaller than the sum of its proper divisors (756719569836).

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

421326623124 is a wasteful number, since it uses less digits than its factorization.

421326623124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42342 (or 42337 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 421326623124 in words is "four hundred twenty-one billion, three hundred twenty-six million, six hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 251 303 396 404 502 606 753 909 1004 1111 1212 1506 1818 2222 2259 2761 3012 3333 3636 4444 4518 5522 6666 8283 9036 9999 11044 13332 16566 19998 24849 25351 33132 39996 41969 49698 50702 76053 83938 99396 101404 125907 152106 167876 228159 251814 278861 304212 377721 456318 461659 503628 557722 755442 836583 912636 923318 1115444 1384977 1510884 1673166 1846636 2509749 2769954 3346332 4154931 4238869 5019498 5539908 8309862 8477738 10038996 10534219 12716607 16619724 16955476 21068438 25433214 31602657 38149821 42136876 46627559 50866428 63205314 76299642 93255118 94807971 115876409 126410628 139882677 152599284 186510236 189615942 231752818 279765354 347629227 379231884 419648031 463505636 559530708 695258454 839296062 1042887681 1063956119 1390516908 1678592124 2085775362 2127912238 3191868357 4171550724 4255824476 6383736714 9575605071 11703517309 12767473428 19151210142 23407034618 35110551927 38302420284 46814069236 70221103854 105331655781 140442207708 210663311562 421326623124