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340003442231312 = 24974331705329669
BaseRepresentation
bin100110101001110110011100…
…0011001011000100000010000
31122120212000022111001001211012
41031103230320121120200100
5324031104022202400222
63203043231451310052
7131421303154161446
oct11523547031304020
91576760274031735
10340003442231312
11993767172a4962
1232172b40a4b328
1311794257b90732
145dd637c152b96
15294940a8761e2
hex1353b38658810

340003442231312 has 80 divisors (see below), whose sum is σ = 667146641392560. Its totient is φ = 167845059035136.

The previous prime is 340003442231269. The next prime is 340003442231347. The reversal of 340003442231312 is 213132244300043.

It can be written as a sum of positive squares in 8 ways, for example, as 120565319090176 + 219438123141136 = 10980224^2 + 14813444^2 .

It is a super-3 number, since 3×3400034422313123 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11459874014 + ... + 11459903682.

It is an arithmetic number, because the mean of its divisors is an integer number (8339333017407).

Almost surely, 2340003442231312 is an apocalyptic number.

It is an amenable number.

340003442231312 is a deficient number, since it is larger than the sum of its proper divisors (327143199161248).

340003442231312 is a wasteful number, since it uses less digits than its factorization.

340003442231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47260 (or 47254 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 340003442231312 its reverse (213132244300043), we get a palindrome (553135686531355).

The spelling of 340003442231312 in words is "three hundred forty trillion, three billion, four hundred forty-two million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 97 194 388 433 776 866 1552 1732 3464 6928 17053 29669 34106 42001 59338 68212 84002 118676 136424 168004 237352 272848 336008 474704 672016 1654141 2877893 3308282 5755786 6616564 7383949 11511572 12846677 13233128 14767898 23023144 25693354 26466256 29535796 46046288 51386708 59071592 102773416 118143184 205546832 505945457 716243053 1011890914 1246127669 1432486106 2023781828 2492255338 2864972212 4047563656 4984510676 5729944424 8095127312 9969021352 11459888848 19938042704 49076709329 98153418658 196306837316 219074382881 392613674632 438148765762 785227349264 876297531524 1752595063048 3505190126096 21250215139457 42500430278914 85000860557828 170001721115656 340003442231312