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14022402234435 = 3357431240927809
BaseRepresentation
bin1100110000001101100001…
…0011011101100001000011
31211122112021022200101011000
43030003120103131201003
53314220334433000220
645453445212423043
72645041125245310
oct314033023354103
954575238611130
1014022402234435
11451695a552a21
1216a5776177a83
137a93cb21a57a
1436698b7d5d07
15194b4c9d2390
hexcc0d84dd843

14022402234435 has 128 divisors (see below), whose sum is σ = 29155915008000. Its totient is φ = 6260435951616.

The previous prime is 14022402234433. The next prime is 14022402234479. The reversal of 14022402234435 is 53443220422041.

14022402234435 is a `hidden beast` number, since 1 + 40 + 2 + 240 + 2 + 2 + 344 + 35 = 666.

It is not a de Polignac number, because 14022402234435 - 21 = 14022402234433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14022402234435.

It is not an unprimeable number, because it can be changed into a prime (14022402234433) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 504225811 + ... + 504253619.

It is an arithmetic number, because the mean of its divisors is an integer number (227780586000).

Almost surely, 214022402234435 is an apocalyptic number.

14022402234435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14022402234435 is an abundant number, since it is smaller than the sum of its proper divisors (15133512773565).

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

14022402234435 is a wasteful number, since it uses less digits than its factorization.

14022402234435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40282 (or 40276 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 14022402234435 its reverse (53443220422041), we get a palindrome (67465622656476).

The spelling of 14022402234435 in words is "fourteen trillion, twenty-two billion, four hundred two million, two hundred thirty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 301 315 387 645 903 945 1161 1505 1935 2709 4515 5805 8127 12409 13545 27809 37227 40635 62045 83427 86863 111681 139045 186135 194663 250281 260589 335043 417135 434315 533587 558405 583989 750843 781767 973315 1195787 1251405 1302945 1600761 1675215 1751967 2345301 2667935 2919945 3587361 3735109 3754215 3908835 4802283 5255901 5978935 8003805 8370509 8759835 10762083 11205327 11726505 14406849 17936805 18675545 24011415 25111527 26279505 32286249 33615981 41852545 53810415 56026635 72034245 75334581 100847943 125557635 161431245 168079905 226003743 345081881 376672905 504239715 1035245643 1130018715 1725409405 2415573167 3105736929 5176228215 7246719501 9317210787 12077865835 14838520883 15528684645 21740158503 36233597505 44515562649 46586053935 65220475509 74192604415 103869646181 108700792515 133546687947 222577813245 311608938543 326102377545 400640063841 519348230905 667733439735 934826815629 1558044692715 2003200319205 2804480446887 4674134078145 14022402234435