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14413003000 = 23531110112973
BaseRepresentation
bin11010110110001010…
…01111100011111000
31101012110121102011221
431123011033203320
5214004212044000
610342104401424
71020111334624
oct153305174370
941173542157
1014413003000
116126845530
122962a76274
131489053b56
149aa2a4184
1559551461a
hex35b14f8f8

14413003000 has 128 divisors (see below), whose sum is σ = 37159611840. Its totient is φ = 5188800000.

The previous prime is 14413002983. The next prime is 14413003021. The reversal of 14413003000 is 30031441.

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 31 ways as a sum of consecutive naturals, for example, 1104514 + ... + 1117486.

Almost surely, 214413003000 is an apocalyptic number.

14413003000 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 14413003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579805920).

14413003000 is an abundant number, since it is smaller than the sum of its proper divisors (22746608840).

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

14413003000 is a wasteful number, since it uses less digits than its factorization.

14413003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13106 (or 13092 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14413003000 its reverse (30031441), we get a palindrome (14443034441).

The spelling of 14413003000 in words is "fourteen billion, four hundred thirteen million, three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 12973 20200 22220 25250 25946 27775 44440 50500 51892 55550 64865 101000 103784 111100 129730 138875 142703 222200 259460 277750 285406 324325 518920 555500 570812 648650 713515 1111000 1141624 1297300 1310273 1427030 1621625 2594600 2620546 2854060 3243250 3567575 5241092 5708120 6486500 6551365 7135150 10482184 12973000 13102730 14270300 14413003 17837875 26205460 28540600 28826006 32756825 35675750 52410920 57652012 65513650 71351500 72065015 115304024 131027300 142703000 144130030 163784125 262054600 288260060 327568250 360325075 576520120 655136500 720650150 1310273000 1441300300 1801625375 2882600600 3603250750 7206501500 14413003000