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4001471782640 = 245239822125457
BaseRepresentation
bin111010001110101010010…
…011011101111011110000
3112011112111110010000011022
4322032222103131323300
51011030003234021030
612302130055235012
7562045125645443
oct72165223357360
915145443100138
104001471782640
111303018559762
12547618978a68
1323044c9bb237
14db95a9b965a
156e14a2cdde5
hex3a3aa4ddef0

4001471782640 has 80 divisors (see below), whose sum is σ = 9343851776640. Its totient is φ = 1593635205120.

The previous prime is 4001471782543. The next prime is 4001471782657. The reversal of 4001471782640 is 462871741004.

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

It is a junction number, because it is equal to n+sod(n) for n = 4001471782591 and 4001471782600.

It is a congruent number.

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, 157172792 + ... + 157198248.

It is an arithmetic number, because the mean of its divisors is an integer number (116798147208).

Almost surely, 24001471782640 is an apocalyptic number.

4001471782640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001471782640 is an abundant number, since it is smaller than the sum of its proper divisors (5342379994000).

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

4001471782640 is a wasteful number, since it uses less digits than its factorization.

4001471782640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33930 (or 33924 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The spelling of 4001471782640 in words is "four trillion, one billion, four hundred seventy-one million, seven hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 3824 4780 8221 9560 16442 19120 25457 32884 41105 50914 65768 82210 101828 127285 131536 164420 203656 254570 328840 407312 509140 657680 1018280 1964819 2036560 3929638 6084223 7859276 9824095 12168446 15718552 19648190 24336892 30421115 31437104 39296380 48673784 60842230 78592760 97347568 121684460 157185520 209281997 243368920 418563994 486737840 837127988 1046409985 1674255976 2092819970 3348511952 4185639940 8371279880 16742559760 50018397283 100036794566 200073589132 250091986415 400147178264 500183972830 800294356528 1000367945660 2000735891320 4001471782640