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42580340814 = 231137611971451
BaseRepresentation
bin100111101001111111…
…000111000001001110
311001220111102102122210
4213221333013001032
51144201031401224
631321112251250
73035115632214
oct475177070116
9131814372583
1042580340814
1117070546310
1283040a0b26
13402783124b
1420bd172cb4
1511932d2429
hex9e9fc704e

42580340814 has 128 divisors (see below), whose sum is σ = 97537042944. Its totient is φ = 12277440000.

The previous prime is 42580340807. The next prime is 42580340857. The reversal of 42580340814 is 41804308524.

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, 29344789 + ... + 29346239.

It is an arithmetic number, because the mean of its divisors is an integer number (762008148).

Almost surely, 242580340814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42580340814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48768521472).

42580340814 is an abundant number, since it is smaller than the sum of its proper divisors (54956702130).

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

42580340814 is a wasteful number, since it uses less digits than its factorization.

42580340814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762.

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 42580340814 in words is "forty-two billion, five hundred eighty million, three hundred forty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 61 66 74 111 122 183 197 222 366 394 407 591 671 814 1182 1221 1342 1451 2013 2167 2257 2442 2902 4026 4334 4353 4514 6501 6771 7289 8706 12017 13002 13542 14578 15961 21867 24034 24827 31922 36051 43734 47883 49654 53687 72102 74481 80179 88511 95766 107374 132187 148962 160358 161061 177022 240537 264374 265533 285847 322122 396561 444629 481074 531066 571694 590557 793122 857541 889258 973621 1181114 1333887 1715082 1771671 1947242 2667774 2920863 3144317 3274907 3543342 4890919 5841726 6288634 6549814 9432951 9781838 9824721 10576339 14672757 17436667 18865902 19649442 21152678 29345514 31729017 34873334 36023977 52310001 63458034 72047954 104620002 108071931 116339729 191803337 216143862 232679458 349019187 383606674 575410011 645156679 698038374 1150820022 1290313358 1935470037 3870940074 7096723469 14193446938 21290170407 42580340814