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4315104225312 = 253269349478787
BaseRepresentation
bin111110110010110000010…
…000010010100000100000
3120021112001000212212121120
4332302300100102200200
51031144313140202222
613102155335052240
7623520206505666
oct76626020224040
916245030785546
104315104225312
111414030927a01
12598367811080
13253bb2c3616a
1410cbd0476c36
15773a46ba15c
hex3ecb0412820

4315104225312 has 96 divisors (see below), whose sum is σ = 11401857432000. Its totient is φ = 1428911920128.

The previous prime is 4315104225247. The next prime is 4315104225343. The reversal of 4315104225312 is 2135224015134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×43151042253123 (a number of 39 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, 8773183 + ... + 9251969.

It is an arithmetic number, because the mean of its divisors is an integer number (118769348250).

Almost surely, 24315104225312 is an apocalyptic number.

It is an amenable number.

4315104225312 is an abundant number, since it is smaller than the sum of its proper divisors (7086753206688).

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

4315104225312 is a wasteful number, since it uses less digits than its factorization.

4315104225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479418 (or 479410 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 4315104225312 in words is "four trillion, three hundred fifteen billion, one hundred four million, two hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 349 538 698 807 1047 1076 1396 1614 2094 2152 2792 3228 4188 4304 5584 6456 8376 8608 11168 12912 16752 25824 33504 93881 187762 281643 375524 478787 563286 751048 957574 1126572 1436361 1502096 1915148 2253144 2872722 3004192 3830296 4506288 5745444 7660592 9012576 11490888 15321184 22981776 45963552 128793703 167096663 257587406 334193326 386381109 501289989 515174812 668386652 772762218 1002579978 1030349624 1336773304 1545524436 2005159956 2060699248 2673546608 3091048872 4010319912 4121398496 5347093216 6182097744 8020639824 12364195488 16041279648 44949002347 89898004694 134847007041 179796009388 269694014082 359592018776 539388028164 719184037552 1078776056328 1438368075104 2157552112656 4315104225312