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4013426711514 = 2311791098598221
BaseRepresentation
bin111010011001110010110…
…111111001101111011010
3112012200100121102022112210
4322121302313321233122
51011223444214232024
612311424235015550
7562650312113463
oct72316267715732
915180317368483
104013426711514
1113080a2826770
125499b459a5b6
13231606701c4c
14dc372623d6a
156e5e9aea129
hex3a672df9bda

4013426711514 has 128 divisors (see below), whose sum is σ = 8960269824000. Its totient is φ = 1188249004800.

The previous prime is 4013426711513. The next prime is 4013426711527. The reversal of 4013426711514 is 4151176243104.

It is a super-2 number, since 2×40134267115142 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013426711513) 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, 488187924 + ... + 488196144.

It is an arithmetic number, because the mean of its divisors is an integer number (70002108000).

Almost surely, 24013426711514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013426711514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480134912000).

4013426711514 is an abundant number, since it is smaller than the sum of its proper divisors (4946843112486).

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

4013426711514 is a wasteful number, since it uses less digits than its factorization.

4013426711514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284.

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 4013426711514 in words is "four trillion, thirteen billion, four hundred twenty-six million, seven hundred eleven thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 79 109 158 218 237 327 474 654 859 869 1199 1718 1738 2398 2577 2607 3597 5154 5214 7194 8221 8611 9449 16442 17222 18898 24663 25833 28347 49326 51666 56694 67861 90431 93631 94721 135722 180862 187262 189442 203583 271293 280893 284163 407166 542586 561786 568326 649459 746471 896089 1029941 1298918 1492942 1792178 1948377 2059882 2239413 2688267 3089823 3896754 4478826 5376534 6179646 7061839 7144049 7396849 9856979 14123678 14288098 14793698 19713958 21185517 21432147 22190547 29570937 42371034 42864294 44381094 59141874 70791031 77680229 81365339 141582062 155360458 162730678 212373093 233040687 244096017 424746186 466081374 488192034 557885281 769740451 778701341 1115770562 1539480902 1557402682 1673655843 2309221353 2336104023 3347311686 4618442706 4672208046 6136738091 8467144961 12273476182 16934289922 18410214273 25401434883 36820428546 50802869766 60809495629 121618991258 182428486887 364856973774 668904451919 1337808903838 2006713355757 4013426711514