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423302440104 = 233361271118549
BaseRepresentation
bin1100010100011101100…
…10101010010010101000
31111110121200012222102000
412022032302222102220
523413410411040404
6522243520211000
742403554242115
oct6121662522250
91443550188360
10423302440104
11153581212565
126a057169a60
1330bc0270b3b
14166b8cdb90c
15b02754a339
hex628ecaa4a8

423302440104 has 128 divisors (see below), whose sum is σ = 1199536320000. Its totient is φ = 138274387200.

The previous prime is 423302440103. The next prime is 423302440123. The reversal of 423302440104 is 401044203324.

It is a happy number.

423302440104 is a `hidden beast` number, since 4 + 233 + 0 + 24 + 401 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (423302440103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3511422 + ... + 3629970.

It is an arithmetic number, because the mean of its divisors is an integer number (9371377500).

Almost surely, 2423302440104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423302440104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599768160000).

423302440104 is an abundant number, since it is smaller than the sum of its proper divisors (776233879896).

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

423302440104 is a wasteful number, since it uses less digits than its factorization.

423302440104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118896 (or 118886 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 423302440104 its reverse (401044203324), we get a palindrome (824346643428).

The spelling of 423302440104 in words is "four hundred twenty-three billion, three hundred two million, four hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 271 366 488 542 549 732 813 1084 1098 1464 1626 1647 2168 2196 2439 3252 3294 4392 4878 6504 6588 7317 9756 13176 14634 16531 19512 29268 33062 49593 58536 66124 99186 118549 132248 148779 198372 237098 297558 355647 396744 446337 474196 595116 711294 892674 948392 1066941 1190232 1422588 1785348 2133882 2845176 3200823 3570696 4267764 6401646 7231489 8535528 12803292 14462978 21694467 25606584 28925956 32126779 43388934 57851912 64253558 65083401 86777868 96380337 128507116 130166802 173555736 192760674 195250203 257014232 260333604 289141011 385521348 390500406 520667208 578282022 771042696 781000812 867423033 1156564044 1562001624 1734846066 1959733519 2313128088 3469692132 3919467038 5879200557 6939384264 7838934076 11758401114 15677868152 17637601671 23516802228 35275203342 47033604456 52912805013 70550406684 105825610026 141100813368 211651220052 423302440104