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14164062000 = 2435311214607
BaseRepresentation
bin11010011000011111…
…00110111100110000
31100120010011220022220
431030033212330300
5213001444441000
610301253001040
71010666353254
oct151417467460
940503156286
1014164062000
116009275470
1228b3623180
1314495c249a
149851c2264
1557d73e1a0
hex34c3e6f30

14164062000 has 160 divisors (see below), whose sum is σ = 49816525824. Its totient is φ = 3433696000.

The previous prime is 14164061959. The next prime is 14164062047. The reversal of 14164062000 is 26046141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41304 + ... + 173303.

Almost surely, 214164062000 is an apocalyptic number.

14164062000 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 14164062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24908262912).

14164062000 is an abundant number, since it is smaller than the sum of its proper divisors (35652463824).

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

14164062000 is a wasteful number, since it uses less digits than its factorization.

14164062000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214644 (or 214628 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 14164062000 in words is "fourteen billion, one hundred sixty-four million, sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 214607 429214 643821 858428 1073035 1287642 1716856 2146070 2360677 2575284 3219105 3433712 4292140 4721354 5150568 5365175 6438210 7082031 8584280 9442708 10301136 10730350 11803385 12876420 14164062 16095525 17168560 18885416 21460700 23606770 25752840 26825875 28328124 32191050 35410155 37770832 42921400 47213540 51505680 53651750 56656248 59016925 64382100 70820310 80477625 85842800 94427080 107303500 113312496 118033850 128764200 141640620 160955250 177050775 188854160 214607000 236067700 257528400 283281240 295084625 321910500 354101550 429214000 472135400 566562480 590169250 643821000 708203100 885253875 944270800 1180338500 1287642000 1416406200 1770507750 2360677000 2832812400 3541015500 4721354000 7082031000 14164062000