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424244356704 = 25337210020889
BaseRepresentation
bin1100010110001101110…
…11110010011001100000
31111120001022121022002000
412023012323302121200
523422323023403304
6522521204524000
742436112350500
oct6130673623140
91446038538060
10424244356704
11153a14974433
126a27a6b0600
133101045253c
1416768049a00
15b0800a6939
hex62c6ef2660

424244356704 has 144 divisors (see below), whose sum is σ = 1439400639600. Its totient is φ = 121212661248.

The previous prime is 424244356691. The next prime is 424244356771. The reversal of 424244356704 is 407653442424.

424244356704 is a `hidden beast` number, since 4 + 2 + 42 + 4 + 43 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 424244356704.

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, 4968109 + ... + 5052780.

It is an arithmetic number, because the mean of its divisors is an integer number (9995837775).

Almost surely, 2424244356704 is an apocalyptic number.

It is an amenable number.

424244356704 is an abundant number, since it is smaller than the sum of its proper divisors (1015156282896).

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

424244356704 is a wasteful number, since it uses less digits than its factorization.

424244356704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020922 (or 10020901 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 45.

The spelling of 424244356704 in words is "four hundred twenty-four billion, two hundred forty-four million, three hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 10020889 20041778 30062667 40083556 60125334 70146223 80167112 90188001 120250668 140292446 160334224 180376002 210438669 240501336 270564003 280584892 320668448 360752004 420877338 481002672 491023561 541128006 561169784 631316007 721504008 841754676 962005344 982047122 1082256012 1122339568 1262632014 1443008016 1473070683 1683509352 1893948021 1964094244 2164512024 2244679136 2525264028 2886016032 2946141366 3367018704 3787896042 3928188488 4329024048 4419212049 5050528056 5892282732 6734037408 7575792084 7856376976 8658048096 8838424098 10101056112 11784565464 13257636147 15151584168 15712753952 17676848196 20202112224 23569130928 26515272294 30303168336 35353696392 47138261856 53030544588 60606336672 70707392784 106061089176 141414785568 212122178352 424244356704