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14000612820 = 22351760722613
BaseRepresentation
bin11010000101000000…
…00110010111010100
31100010201121211012120
431002200012113110
5212133124102240
610233133415540
71003643150115
oct150240062724
940121554176
1014000612820
115a34a876a7
12286893a5b0
131421794aac
1496b5d620c
1556e204ad0
hex3428065d4

14000612820 has 96 divisors (see below), whose sum is σ = 41577919488. Its totient is φ = 3507935232.

The previous prime is 14000612797. The next prime is 14000612839. The reversal of 14000612820 is 2821600041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607834 + ... + 630446.

It is an arithmetic number, because the mean of its divisors is an integer number (433103328).

Almost surely, 214000612820 is an apocalyptic number.

14000612820 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 14000612820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20788959744).

14000612820 is an abundant number, since it is smaller than the sum of its proper divisors (27577306668).

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

14000612820 is a wasteful number, since it uses less digits than its factorization.

14000612820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23249 (or 23247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 14000612820 in words is "fourteen billion, six hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 607 1020 1214 1821 2428 3035 3642 6070 7284 9105 10319 12140 18210 20638 22613 30957 36420 41276 45226 51595 61914 67839 90452 103190 113065 123828 135678 154785 206380 226130 271356 309570 339195 384421 452260 619140 678390 768842 1153263 1356780 1537684 1922105 2306526 3844210 4613052 5766315 7688420 11532630 13726091 23065260 27452182 41178273 54904364 68630455 82356546 137260910 164713092 205891365 233343547 274521820 411782730 466687094 700030641 823565460 933374188 1166717735 1400061282 2333435470 2800122564 3500153205 4666870940 7000306410 14000612820