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14002386480 = 2432560132359
BaseRepresentation
bin11010000101001101…
…10111011000110000
31100010211221221012200
431002212313120300
5212134102331410
610233235423200
71003664215125
oct150246673060
940124857180
1014002386480
115a35a89235
122869454b00
131421c661b4
1496b93874c
1556e4553c0
hex3429b7630

14002386480 has 120 divisors (see below), whose sum is σ = 47104380960. Its totient is φ = 3727641600.

The previous prime is 14002386479. The next prime is 14002386491. The reversal of 14002386480 is 8468320041.

14002386480 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 3 + 8 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416541 + ... + 448899.

It is an arithmetic number, because the mean of its divisors is an integer number (392536508).

Almost surely, 214002386480 is an apocalyptic number.

14002386480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14002386480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23552190480).

14002386480 is an abundant number, since it is smaller than the sum of its proper divisors (33101994480).

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

14002386480 is a wasteful number, since it uses less digits than its factorization.

14002386480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32979 (or 32970 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14002386480 in words is "fourteen billion, two million, three hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 601 720 1202 1803 2404 3005 3606 4808 5409 6010 7212 9015 9616 10818 12020 14424 18030 21636 24040 27045 28848 32359 36060 43272 48080 54090 64718 72120 86544 97077 108180 129436 144240 161795 194154 216360 258872 291231 323590 388308 432720 485385 517744 582462 647180 776616 970770 1164924 1294360 1456155 1553232 1941540 2329848 2588720 2912310 3883080 4659696 5824620 7766160 11649240 19447759 23298480 38895518 58343277 77791036 97238795 116686554 155582072 175029831 194477590 233373108 291716385 311164144 350059662 388955180 466746216 583432770 700119324 777910360 875149155 933492432 1166865540 1400238648 1555820720 1750298310 2333731080 2800477296 3500596620 4667462160 7001193240 14002386480