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214020332143112 = 231117439421353149
BaseRepresentation
bin110000101010011001111101…
…110111110100001000001000
31001001210010212221001220021102
4300222121331313310020020
5211023002120012034422
62035103325553000532
763036313226234345
oct6052317567641010
91031703787056242
10214020332143112
1162214570aa5aa0
12200066a8253148
139256052660b31
143abc8d45177cc
1519b225ee66192
hexc2a67ddf4208

214020332143112 has 128 divisors (see below), whose sum is σ = 474351193008000. Its totient is φ = 89420463820800.

The previous prime is 214020332143067. The next prime is 214020332143157. The reversal of 214020332143112 is 211341233020412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214020332143067) and next prime (214020332143157).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605857514 + ... + 606210662.

It is an arithmetic number, because the mean of its divisors is an integer number (3705868695375).

Almost surely, 2214020332143112 is an apocalyptic number.

214020332143112 is a gapful number since it is divisible by the number (22) 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 214020332143112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237175596504000).

214020332143112 is an abundant number, since it is smaller than the sum of its proper divisors (260330860864888).

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

214020332143112 is a wasteful number, since it uses less digits than its factorization.

214020332143112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362647 (or 362643 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 214020332143112 its reverse (211341233020412), we get a palindrome (425361565163524).

The spelling of 214020332143112 in words is "two hundred fourteen trillion, twenty billion, three hundred thirty-two million, one hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 136 172 187 344 374 473 731 748 946 1462 1496 1892 2924 3784 5848 8041 9421 16082 18842 32164 37684 64328 75368 103631 160157 207262 320314 353149 405103 414524 640628 706298 810206 829048 1281256 1412596 1620412 1761727 2825192 3240824 3523454 3884639 4456133 6003533 6886751 7046908 7769278 8912266 12007066 13773502 14093816 15185407 15538556 17824532 24014132 27547004 30370814 31077112 35649064 48028264 55094008 60741628 66038863 75754261 121483256 132077726 151508522 167039477 258151919 264155452 303017044 334078954 516303838 528310904 606034088 668157908 1032607676 1336315816 2065215352 2839671109 3327016729 5679342218 6654033458 11358684436 13308066916 22717368872 26616133832 36597184019 56559284393 73194368038 113118568786 143061719347 146388736076 226237137572 286123438694 292777472152 452474275144 572246877388 622152128323 1144493754776 1244304256646 1573678912817 2432049228899 2488608513292 3147357825634 4864098457798 4977217026584 6294715651268 9728196915596 12589431302536 19456393831192 26752541517889 53505083035778 107010166071556 214020332143112