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340021321414032 = 243294331517180241
BaseRepresentation
bin100110101001111110110001…
…0000101000011010110010000
31122120220201110111212122200210
41031103331202011003112100
5324031402131240222112
63203055345540244120
7131422505214546546
oct11523754205032620
91576821414778623
10340021321414032
1199383261667525
12321764b06a0640
1311795b4706c0ab
145dd71968cdd96
152949b05316b3c
hex1353f62143590

340021321414032 has 160 divisors (see below), whose sum is σ = 929844368830080. Its totient is φ = 106883231293440.

The previous prime is 340021321414013. The next prime is 340021321414037. The reversal of 340021321414032 is 230414123120043.

It is a super-2 number, since 2×3400213214140322 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340021321414037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886391432 + ... + 1886571672.

It is an arithmetic number, because the mean of its divisors is an integer number (5811527305188).

Almost surely, 2340021321414032 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 340021321414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464922184415040).

340021321414032 is an abundant number, since it is smaller than the sum of its proper divisors (589823047416048).

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

340021321414032 is a wasteful number, since it uses less digits than its factorization.

340021321414032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211841 (or 211835 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 340021321414032 its reverse (230414123120043), we get a palindrome (570435444534075).

The spelling of 340021321414032 in words is "three hundred forty trillion, twenty-one billion, three hundred twenty-one million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 2064 2494 3741 4988 7482 9976 14964 19952 29928 31517 59856 63034 94551 126068 180241 189102 252136 360482 378204 504272 540723 720964 756408 913993 1081446 1355231 1441928 1512816 1827986 2162892 2710462 2741979 2883856 3655972 4065693 4325784 5226989 5420924 5483958 7311944 7750363 8131386 8651568 10453978 10841848 10967916 14623888 15500726 15680967 16262772 20907956 21683696 21935832 23251089 31001452 31361934 32525544 39301699 41815912 43871664 46502178 62002904 62723868 65051088 78603398 83631824 93004356 117905097 124005808 125447736 157206796 186008712 224760527 235810194 250895472 314413592 372017424 449521054 471620388 628827184 674281581 899042108 943240776 1348563162 1798084216 1886481552 2697126324 3596168432 5394252648 5680655597 10788505296 11361311194 17041966791 22722622388 34083933582 45445244776 68167867164 90890489552 136335734328 164739012313 244268190671 272671468656 329478024626 488536381342 494217036939 658956049252 732804572013 977072762684 988434073878 1317912098504 1465609144026 1954145525368 1976868147756 2635824197008 2931218288052 3908291050736 3953736295512 5862436576104 7083777529459 7907472591024 11724873152208 14167555058918 21251332588377 28335110117836 42502665176754 56670220235672 85005330353508 113340440471344 170010660707016 340021321414032