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423357753324 = 2231110132179871
BaseRepresentation
bin1100010100100100001…
…01101010011111101100
31111110202112022011212210
412022102011222133230
523414014041101244
6522253213530420
742405125346132
oct6122205523754
91443675264783
10423357753324
111535aa462170
126a0717a3a10
1330bcb86975c
14166c23b9752
15b02c3244b9
hex629216a7ec

423357753324 has 96 divisors (see below), whose sum is σ = 1088756186112. Its totient is φ = 126967680000.

The previous prime is 423357753263. The next prime is 423357753341.

423357753324 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 42884109 + ... + 42893979.

It is an arithmetic number, because the mean of its divisors is an integer number (11341210272).

Almost surely, 2423357753324 is an apocalyptic number.

423357753324 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 423357753324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544378093056).

423357753324 is an abundant number, since it is smaller than the sum of its proper divisors (665398432788).

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

423357753324 is a wasteful number, since it uses less digits than its factorization.

423357753324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13207 (or 13205 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 48.

The spelling of 423357753324 in words is "four hundred twenty-three billion, three hundred fifty-seven million, seven hundred fifty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3217 3333 4444 6434 6666 9651 9871 12868 13332 19302 19742 29613 35387 38604 39484 59226 70774 106161 108581 118452 141548 212322 217162 324917 325743 424644 434324 649834 651486 974751 996971 1299668 1302972 1949502 1993942 2990913 3574087 3899004 3987884 5981826 7148174 10722261 10966681 11963652 14296348 21444522 21933362 31755007 32900043 42889044 43866724 63510014 65800086 95265021 127020028 131600172 190530042 349305077 381060084 698610154 1047915231 1397220308 2095830462 3207255707 4191660924 6414511414 9621767121 12829022828 19243534242 35279812777 38487068484 70559625554 105839438331 141119251108 211678876662 423357753324