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7130331834540 = 2235312595320773
BaseRepresentation
bin110011111000010100011…
…1001010110100010101100
3221020122122002022011102020
41213300220321112202230
51413310404422201130
623055343525030140
71334102161403205
oct147605071264254
927218562264366
107130331834540
1122a9a584846a2
12971aa5855350
133c9506195c55
141a91778005ac
15c572275de10
hex67c28e568ac

7130331834540 has 144 divisors (see below), whose sum is σ = 20634192974304. Its totient is φ = 1839687966720.

The previous prime is 7130331834497. The next prime is 7130331834541. The reversal of 7130331834540 is 454381330317.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7130331834492 and 7130331834501.

It is not an unprimeable number, because it can be changed into a prime (7130331834541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343239594 + ... + 343260366.

It is an arithmetic number, because the mean of its divisors is an integer number (143293006766).

Almost surely, 27130331834540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7130331834540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317096487152).

7130331834540 is an abundant number, since it is smaller than the sum of its proper divisors (13503861139764).

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

7130331834540 is a wasteful number, since it uses less digits than its factorization.

7130331834540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26800 (or 26767 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 7130331834540 in words is "seven trillion, one hundred thirty billion, three hundred thirty-one million, eight hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 961 1860 1922 2883 3844 4805 5766 5953 9610 11532 11906 14415 17859 19220 20773 23812 28830 29765 35718 41546 57660 59530 62319 71436 83092 89295 103865 119060 124638 178590 184543 207730 249276 311595 357180 369086 415460 553629 623190 643963 738172 922715 1107258 1246380 1287926 1845430 1931889 2214516 2575852 2768145 3219815 3690860 3863778 5536290 5720833 6439630 7727556 9659445 11072580 11441666 12879260 17162499 19318890 19962853 22883332 28604165 34324998 38637780 39925706 57208330 59888559 68649996 79851412 85812495 99814265 114416660 119777118 123661669 171624990 199628530 239554236 247323338 299442795 343249980 370985007 399257060 494646676 598885590 618308345 741970014 1197771180 1236616690 1483940028 1854925035 2473233380 3709850070 3833511739 7419700140 7667023478 11500535217 15334046956 19167558695 23001070434 38335117390 46002140868 57502676085 76670234780 115005352170 118838863909 230010704340 237677727818 356516591727 475355455636 594194319545 713033183454 1188388639090 1426066366908 1782582958635 2376777278180 3565165917270 7130331834540