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1441002910464 = 28321348110407
BaseRepresentation
bin10100111110000010011…
…101110111001100000000
312002202110222012110111100
4110332002131313030000
5142102133221113324
63021553153214400
7206052252433035
oct24760235671400
95082428173440
101441002910464
11506142637857
121b3338b61400
13a5b696a5280
144da6008138c
152773cc004c9
hex14f82777300

1441002910464 has 108 divisors (see below), whose sum is σ = 4474364164816. Its totient is φ = 443385501696.

The previous prime is 1441002910453. The next prime is 1441002910469. The reversal of 1441002910464 is 4640192001441.

It is a happy number.

1441002910464 is a `hidden beast` number, since 1 + 4 + 4 + 100 + 2 + 91 + 0 + 464 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1441002910469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24025252 + ... + 24085155.

Almost surely, 21441002910464 is an apocalyptic number.

It is an amenable number.

1441002910464 is an abundant number, since it is smaller than the sum of its proper divisors (3033361254352).

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

1441002910464 is a wasteful number, since it uses less digits than its factorization.

1441002910464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48110442 (or 48110425 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1441002910464 in words is "one trillion, four hundred forty-one billion, two million, nine hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 48110407 96220814 144331221 192441628 288662442 384883256 432993663 577324884 625435291 769766512 865987326 1154649768 1250870582 1539533024 1731974652 1876305873 2309299536 2501741164 3079066048 3463949304 3752611746 4618599072 5003482328 5628917619 6158132096 6927898608 7505223492 9237198144 10006964656 11257835238 12316264192 13855797216 15010446984 18474396288 20013929312 22515670476 27711594432 30020893968 36948792576 40027858624 45031340952 55423188864 60041787936 80055717248 90062681904 110846377728 120083575872 160111434496 180125363808 240167151744 360250727616 480334303488 720501455232 1441002910464