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63302142414 = 23719317333491
BaseRepresentation
bin111010111101000110…
…100000100111001110
320001101122011000120010
4322331012200213032
52014120322024124
645025224334050
74400454222030
oct727506404716
9201348130503
1063302142414
1124934455585
1210327914326
135c7a90c704
1430c7269c50
1519a75ca529
hexebd1a09ce

63302142414 has 128 divisors (see below), whose sum is σ = 157478584320. Its totient is φ = 16554326400.

The previous prime is 63302142401. The next prime is 63302142427. The reversal of 63302142414 is 41424120336.

It is an interprime number because it is at equal distance from previous prime (63302142401) and next prime (63302142427).

It is a super-2 number, since 2×633021424142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18131209 + ... + 18134699.

It is an arithmetic number, because the mean of its divisors is an integer number (1230301440).

Almost surely, 263302142414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63302142414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78739292160).

63302142414 is an abundant number, since it is smaller than the sum of its proper divisors (94176441906).

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

63302142414 is a wasteful number, since it uses less digits than its factorization.

63302142414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286.

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 63302142414 in words is "sixty-three billion, three hundred two million, one hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 733 798 1178 1302 1466 1767 2199 3491 3534 4123 4398 5131 6982 8246 10262 10473 12369 13927 15393 20946 22723 24437 24738 27854 30786 41781 45446 48874 66329 68169 73311 83562 97489 108221 132658 136338 146622 159061 194978 198987 216442 292467 318122 324663 397974 431737 464303 477183 584934 649326 757547 863474 928606 954366 1295211 1392909 1515094 2056199 2272641 2558903 2590422 2785818 3022159 4112398 4545282 5117806 6044318 6168597 7676709 9066477 12337194 14393393 15353418 17912321 18132954 28786786 35824642 43180179 48619157 53736963 79325993 86360358 97238314 107473926 145857471 158651986 237977979 291714942 340334099 475955958 555281951 680668198 1021002297 1110563902 1507193867 1665845853 2042004594 3014387734 3331691706 4521581601 9043163202 10550357069 21100714138 31651071207 63302142414