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14022102314022 = 231147131283712163
BaseRepresentation
bin1100110000001100011001…
…1011010110110000100110
31211122111111102022211200120
43030003012123112300212
53314214231143022042
645453355340222410
72645030524046625
oct314030633266046
954574442284616
1014022102314022
114516816223310
1216a56b183aa06
137a9381049a7a
1436695da436bc
15194b314dbdec
hexcc0c66d6c26

14022102314022 has 128 divisors (see below), whose sum is σ = 31496802213888. Its totient is φ = 4125175267200.

The previous prime is 14022102313991. The next prime is 14022102314047. The reversal of 14022102314022 is 22041320122041.

It is a super-2 number, since 2×140221023140222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14022102313983 and 14022102314001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1152842913 + ... + 1152855075.

It is an arithmetic number, because the mean of its divisors is an integer number (246068767296).

Almost surely, 214022102314022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022102314022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748401106944).

14022102314022 is an abundant number, since it is smaller than the sum of its proper divisors (17474699899866).

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

14022102314022 is a wasteful number, since it uses less digits than its factorization.

14022102314022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15194.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14022102314022 its reverse (22041320122041), we get a palindrome (36063422436063).

The spelling of 14022102314022 in words is "fourteen trillion, twenty-two billion, one hundred two million, three hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 131 141 262 282 393 517 786 1034 1441 1551 2837 2882 3102 4323 5674 6157 8511 8646 12163 12314 17022 18471 24326 31207 36489 36942 62414 67727 72978 93621 133339 133793 135454 187242 203181 266678 267586 371647 400017 401379 406362 571661 743294 800034 802758 1114941 1143322 1466729 1593353 1714983 2229882 2933458 3186706 3429966 4088117 4400187 4780059 6288271 8176234 8800374 9560118 12264351 12576542 17467409 17526883 18864813 24528702 34506431 34934818 35053766 37729626 52402227 52580649 69012862 74887591 103519293 104804454 105161298 149775182 192141499 207038586 224662773 379570741 384282998 449325546 576424497 759141482 823763501 1138712223 1152848994 1621802257 1647527002 2277424446 2471290503 3243604514 4520342461 4865406771 4942581006 9040684922 9730813542 13561027383 17839824827 27122054766 35679649654 49723767071 53519474481 99447534142 107038948962 149171301213 212456095667 298342602426 424912191334 637368287001 1274736574002 2337017052337 4674034104674 7011051157011 14022102314022