Search a number
-
+
14423856080 = 2451923116111
BaseRepresentation
bin11010110111011101…
…01001001111010000
31101020020000210210212
431123232221033100
5214020001343310
610343133143252
71020302516354
oct153356511720
941206023725
1014423856080
116131988617
12296662ab28
13148b383aaa
149ab8cb464
1559645a205
hex35bba93d0

14423856080 has 120 divisors (see below), whose sum is σ = 36537375744. Its totient is φ = 5289235200.

The previous prime is 14423855993. The next prime is 14423856101. The reversal of 14423856080 is 8065832441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887225 + ... + 903335.

Almost surely, 214423856080 is an apocalyptic number.

14423856080 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 14423856080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18268687872).

14423856080 is an abundant number, since it is smaller than the sum of its proper divisors (22113519664).

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

14423856080 is a wasteful number, since it uses less digits than its factorization.

14423856080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16193 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 14423856080 in words is "fourteen billion, four hundred twenty-three million, eight hundred fifty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 361 380 496 589 620 722 760 1178 1240 1444 1520 1805 2356 2480 2888 2945 3610 4712 5776 5890 7220 9424 11191 11780 14440 16111 22382 23560 28880 32222 44764 47120 55955 64444 80555 89528 111910 128888 161110 179056 223820 257776 306109 322220 447640 499441 612218 644440 895280 998882 1224436 1288880 1530545 1997764 2448872 2497205 3061090 3995528 4897744 4994410 5816071 6122180 7991056 9489379 9988820 11632142 12244360 18978758 19977640 23264284 24488720 29080355 37957516 39955280 46528568 47446895 58160710 75915032 93057136 94893790 116321420 151830064 180298201 189787580 232642840 360596402 379575160 465285680 721192804 759150320 901491005 1442385608 1802982010 2884771216 3605964020 7211928040 14423856080