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4320240467856 = 243377335394399
BaseRepresentation
bin111110110111100010011…
…001011111111110010000
3120022000021222122000210220
4332313202121133332100
51031240323024432411
613104405134353040
7624061405034025
oct76674231377620
916260258560726
104320240467856
11141622712aa55
1259935b95b780
13254521087a31
1410d15a68154c
15775a5584b06
hex3ede265ff90

4320240467856 has 160 divisors (see below), whose sum is σ = 11652316108800. Its totient is φ = 1378035597312.

The previous prime is 4320240467843. The next prime is 4320240467857. The reversal of 4320240467856 is 6587640420234.

It is a junction number, because it is equal to n+sod(n) for n = 4320240467799 and 4320240467808.

It is not an unprimeable number, because it can be changed into a prime (4320240467857) 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, 45718545 + ... + 45812943.

It is an arithmetic number, because the mean of its divisors is an integer number (72826975680).

Almost surely, 24320240467856 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 4320240467856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826158054400).

4320240467856 is an abundant number, since it is smaller than the sum of its proper divisors (7332075640944).

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

4320240467856 is a wasteful number, since it uses less digits than its factorization.

4320240467856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94873 (or 94867 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 4320240467856 in words is "four trillion, three hundred twenty billion, two hundred forty million, four hundred sixty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 73 74 111 146 148 219 222 292 296 353 438 444 584 592 706 876 888 1059 1168 1412 1752 1776 2118 2701 2824 3504 4236 5402 5648 8103 8472 10804 13061 16206 16944 21608 25769 26122 32412 39183 43216 51538 52244 64824 77307 78366 94399 103076 104488 129648 154614 156732 188798 206152 208976 283197 309228 313464 377596 412304 566394 618456 626928 755192 953453 1132788 1236912 1510384 1906906 2265576 2860359 3492763 3813812 4531152 5720718 6891127 6985526 7627624 10478289 11441436 13782254 13971052 15255248 20673381 20956578 22882872 27564508 27942104 33322847 41346762 41913156 45765744 55129016 55884208 66645694 82693524 83826312 99968541 110258032 133291388 165387048 167652624 199937082 254971699 266582776 330774096 399874164 509943398 533165552 764915097 799748328 1019886796 1232945339 1529830194 1599496656 2039773592 2432567831 2465890678 3059660388 3698836017 4079547184 4865135662 4931781356 6119320776 7297703493 7397672034 9730271324 9863562712 12238641552 14595406986 14795344068 19460542648 19727125424 29190813972 29590688136 38921085296 58381627944 59181376272 90005009747 116763255888 180010019494 270015029241 360020038988 540030058482 720040077976 1080060116964 1440080155952 2160120233928 4320240467856