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14102304404034 = 237111132677100907
BaseRepresentation
bin1100110100110111001011…
…0110000011001001000010
31211221011111211201011001210
43031031302312003021002
53322023004411412114
645554301553310550
72653600151422140
oct315156266031102
954834454634053
1014102304404034
11454783220a630
1216b9155265456
137b3ac2cbb272
1436a7ab586590
15196c775c9259
hexcd372d83242

14102304404034 has 128 divisors (see below), whose sum is σ = 35488978716672. Its totient is φ = 3629128688640.

The previous prime is 14102304404033. The next prime is 14102304404051. The reversal of 14102304404034 is 43040440320141.

It is a super-3 number, since 3×141023044040343 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14102304403992 and 14102304404010.

It is not an unprimeable number, because it can be changed into a prime (14102304404033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139705009 + ... + 139805915.

It is an arithmetic number, because the mean of its divisors is an integer number (277257646224).

Almost surely, 214102304404034 is an apocalyptic number.

14102304404034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14102304404034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744489358336).

14102304404034 is an abundant number, since it is smaller than the sum of its proper divisors (21386674312638).

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

14102304404034 is a wasteful number, since it uses less digits than its factorization.

14102304404034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103720.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14102304404034 its reverse (43040440320141), we get a palindrome (57142744724175).

The spelling of 14102304404034 in words is "fourteen trillion, one hundred two billion, three hundred four million, four hundred four thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 113 154 226 231 339 462 678 791 1243 1582 2373 2486 2677 3729 4746 5354 7458 8031 8701 16062 17402 18739 26103 29447 37478 52206 56217 58894 88341 100907 112434 176682 201814 206129 302501 302721 412258 605002 605442 618387 706349 907503 1109977 1236774 1412698 1815006 2117507 2119047 2219954 3327511 3329931 4235014 4238094 6352521 6655022 6659862 7769839 9982533 11402491 12705042 15539678 19965066 22804982 23292577 23309517 34207473 46585154 46619034 68414946 69877731 79817437 125427401 139755462 159634874 239452311 250854802 270128039 376282203 478904622 540256078 752564406 810384117 877991807 1620768234 1755983614 1890896273 2633975421 2971408429 3781792546 5267950842 5672688819 5942816858 8914225287 11345377638 17828450574 20799859003 30524468407 41599718006 61048936814 62399577009 91573405221 124799154018 183146810442 213671278849 335769152477 427342557698 641013836547 671538304954 1007307457431 1282027673094 2014614914862 2350384067339 4700768134678 7051152202017 14102304404034