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8144235996912 = 243383307739861
BaseRepresentation
bin111011010000011101001…
…0010110010011011110000
31001211120200210212012222000
41312200322102302123300
52031413343403400122
625153224350014000
71500254521522611
oct166407222623360
931746623765860
108144235996912
11265aa5099a574
12ab64a81a7300
13470cc8c565b2
1420227c6d3c08
15e1cb49c70ac
hex7683a4b26f0

8144235996912 has 160 divisors (see below), whose sum is σ = 23735719983360. Its totient is φ = 2673297665280.

The previous prime is 8144235996859. The next prime is 8144235996947. The reversal of 8144235996912 is 2196995324418.

8144235996912 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 23 + 599 + 6 + 9 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8144235996912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10637862 + ... + 11377722.

It is an arithmetic number, because the mean of its divisors is an integer number (148348249896).

Almost surely, 28144235996912 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 8144235996912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11867859991680).

8144235996912 is an abundant number, since it is smaller than the sum of its proper divisors (15591483986448).

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

8144235996912 is a wasteful number, since it uses less digits than its factorization.

8144235996912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740268 (or 740256 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 8144235996912 in words is "eight trillion, one hundred forty-four billion, two hundred thirty-five million, nine hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 307 332 432 498 614 664 747 921 996 1228 1328 1494 1842 1992 2241 2456 2763 2988 3684 3984 4482 4912 5526 5976 7368 8289 8964 11052 11952 14736 16578 17928 22104 25481 33156 35856 44208 50962 66312 76443 101924 132624 152886 203848 229329 305772 407696 458658 611544 687987 739861 917316 1223088 1375974 1479722 1834632 2219583 2751948 2959444 3669264 4439166 5503896 5918888 6658749 8878332 11007792 11837776 13317498 17756664 19976247 26634996 35513328 39952494 53269992 61408463 79904988 106539984 122816926 159809976 184225389 227137327 245633852 319619952 368450778 454274654 491267704 552676167 681411981 736901556 908549308 982535408 1105352334 1362823962 1473803112 1658028501 1817098616 2044235943 2210704668 2725647924 2947606224 3316057002 3634197232 4088471886 4421409336 5451295848 6132707829 6632114004 8176943772 8842818672 10902591696 12265415658 13264228008 16353887544 18852398141 24530831316 26528456016 32707775088 37704796282 49061662632 56557194423 75409592564 98123325264 113114388846 150819185128 169671583269 226228777692 301638370256 339343166538 452457555384 509014749807 678686333076 904915110768 1018029499614 1357372666152 2036058999228 2714745332304 4072117998456 8144235996912