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4130444214342 = 2331743104637083
BaseRepresentation
bin111100000110110001101…
…010010000000001000110
3112121212101202111101002000
4330012301222100001012
51020133122204324332
612441255550130130
7604262154352035
oct74066152200106
915555352441060
104130444214342
111352791095596
125686114b0946
1323c664a22694
14103cb37dc71c
1572697d17b7c
hex3c1b1a90046

4130444214342 has 64 divisors (see below), whose sum is σ = 9944708463360. Its totient is φ = 1265690143872.

The previous prime is 4130444214329. The next prime is 4130444214343. The reversal of 4130444214342 is 2434124440314.

4130444214342 is a `hidden beast` number, since 4 + 1 + 30 + 4 + 442 + 143 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4130444214297 and 4130444214306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130444214343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52279068 + ... + 52358015.

It is an arithmetic number, because the mean of its divisors is an integer number (155386069740).

Almost surely, 24130444214342 is an apocalyptic number.

4130444214342 is an abundant number, since it is smaller than the sum of its proper divisors (5814264249018).

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

4130444214342 is a wasteful number, since it uses less digits than its factorization.

4130444214342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104637154 (or 104637148 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4130444214342 its reverse (2434124440314), we get a palindrome (6564568654656).

The spelling of 4130444214342 in words is "four trillion, one hundred thirty billion, four hundred forty-four million, two hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 258 306 387 459 731 774 918 1161 1462 2193 2322 4386 6579 13158 19737 39474 104637083 209274166 313911249 627822498 941733747 1778830411 1883467494 2825201241 3557660822 4499394569 5336491233 5650402482 8998789138 10672982466 13498183707 16009473699 26996367414 32018947398 40494551121 48028421097 76489707673 80989102242 96056842194 121483653363 152979415346 229469123019 242967306726 458938246038 688407369057 1376814738114 2065222107171 4130444214342