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394412422320 = 24325778256433
BaseRepresentation
bin1011011110101001100…
…11111111010010110000
31101201001021120000101100
411233110303333102300
522430224040003240
6501105055004400
740331623163040
oct5572463772260
91351037500340
10394412422320
111422a6591604
1264533b09700
132b267b43167
141513806d720
15a3d60c9e30
hex5bd4cff4b0

394412422320 has 120 divisors (see below), whose sum is σ = 1513792459296. Its totient is φ = 90151409664.

The previous prime is 394412422303. The next prime is 394412422331. The reversal of 394412422320 is 23224214493.

394412422320 is a `hidden beast` number, since 3 + 9 + 4 + 412 + 4 + 2 + 232 + 0 = 666.

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

It is a super-2 number, since 2×3944124223202 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39123177 + ... + 39133256.

Almost surely, 2394412422320 is an apocalyptic number.

394412422320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

394412422320 is an abundant number, since it is smaller than the sum of its proper divisors (1119380036976).

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

394412422320 is a wasteful number, since it uses less digits than its factorization.

394412422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78256459 (or 78256450 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 39441 and 2422320, that added together give a square (2461761 = 15692).

The spelling of 394412422320 in words is "three hundred ninety-four billion, four hundred twelve million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 78256433 156512866 234769299 313025732 391282165 469538598 547795031 626051464 704307897 782564330 939077196 1095590062 1173846495 1252102928 1408615794 1565128660 1643385093 1878154392 2191180124 2347692990 2738975155 2817231588 3130257320 3286770186 3521539485 3756308784 4382360248 4695385980 4930155279 5477950310 5634463176 6260514640 6573540372 7043078970 8216925465 8764720496 9390771960 9860310558 10955900620 11268926352 13147080744 14086157940 16433850930 18781543920 19720621116 21911801240 24650776395 26294161488 28172315880 32867701860 39441242232 43823602480 49301552790 56344631760 65735403720 78882484464 98603105580 131470807440 197206211160 394412422320