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219404316144 = 24313418575841
BaseRepresentation
bin1100110001010110000…
…1000010110111110000
3202222022122221002010010
43030111201002313300
512043320001104034
6244443135534520
721565020626166
oct3142541026760
9688278832103
10219404316144
118505a020112
123663208a440
13178c747c950
14a895225236
155a91c763e9
hex3315842df0

219404316144 has 80 divisors (see below), whose sum is σ = 625281791904. Its totient is φ = 65862451200.

The previous prime is 219404316137. The next prime is 219404316163. The reversal of 219404316144 is 441613404912.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4262337 + ... + 4313504.

Almost surely, 2219404316144 is an apocalyptic number.

219404316144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

219404316144 is an abundant number, since it is smaller than the sum of its proper divisors (405877475760).

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

219404316144 is a wasteful number, since it uses less digits than its factorization.

219404316144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575906 (or 8575900 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 219404316144 in words is "two hundred nineteen billion, four hundred four million, three hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4264 6396 8528 12792 25584 8575841 17151682 25727523 34303364 51455046 68606728 102910092 111485933 137213456 205820184 222971866 334457799 351609481 411640368 445943732 668915598 703218962 891887464 1054828443 1337831196 1406437924 1783774928 2109656886 2675662392 2812875848 4219313772 4570923253 5351324784 5625751696 8438627544 9141846506 13712769759 16877255088 18283693012 27425539518 36567386024 54851079036 73134772048 109702158072 219404316144