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4316513163440 = 245313349493939
BaseRepresentation
bin111110110100000100001…
…110111101100010110000
3120021122200020001100101012
4332310010032331202300
51031210204332212230
613102551225330052
7623600135336222
oct76640416754260
916248606040335
104316513163440
111414694170a85
1259869b636928
13254078ac406a
1410ccc5634412
1577438228395
hex3ed043bd8b0

4316513163440 has 80 divisors (see below), whose sum is σ = 10096825116000. Its totient is φ = 1716153993216.

The previous prime is 4316513163427. The next prime is 4316513163449. The reversal of 4316513163440 is 443613156134.

4316513163440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4316513163449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8491991 + ... + 8985929.

It is an arithmetic number, because the mean of its divisors is an integer number (126210313950).

Almost surely, 24316513163440 is an apocalyptic number.

4316513163440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4316513163440 is an abundant number, since it is smaller than the sum of its proper divisors (5780311952560).

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

4316513163440 is a wasteful number, since it uses less digits than its factorization.

4316513163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494614 (or 494608 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 4316513163440 in words is "four trillion, three hundred sixteen billion, five hundred thirteen million, one hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 313 349 626 698 1252 1396 1565 1745 2504 2792 3130 3490 5008 5584 6260 6980 12520 13960 25040 27920 109237 218474 436948 493939 546185 873896 987878 1092370 1747792 1975756 2184740 2469695 3951512 4369480 4939390 7903024 8738960 9878780 19757560 39515120 154602907 172384711 309205814 344769422 618411628 689538844 773014535 861923555 1236823256 1379077688 1546029070 1723847110 2473646512 2758155376 3092058140 3447694220 6184116280 6895388440 12368232560 13790776880 53956414543 107912829086 215825658172 269782072715 431651316344 539564145430 863302632688 1079128290860 2158256581720 4316513163440