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14412443100 = 22352112397037
BaseRepresentation
bin11010110110000110…
…00110110111011100
31101012102112222010220
431123003012313130
5214004041134400
610342044401340
71020103513356
oct153303066734
941172488126
1014412443100
1161264a2900
122962846250
131488bb9053
149aa19a0d6
155954537a0
hex35b0c6ddc

14412443100 has 108 divisors (see below), whose sum is σ = 45835654872. Its totient is φ = 3493916800.

The previous prime is 14412443081. The next prime is 14412443159. The reversal of 14412443100 is 134421441.

It is a super-2 number, since 2×144124431002 (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 162219 + ... + 234818.

Almost surely, 214412443100 is an apocalyptic number.

14412443100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14412443100 is an abundant number, since it is smaller than the sum of its proper divisors (31423211772).

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

14412443100 is a wasteful number, since it uses less digits than its factorization.

14412443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397076 (or 397058 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14412443100 its reverse (134421441), we get a palindrome (14546864541).

The spelling of 14412443100 in words is "fourteen billion, four hundred twelve million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 397037 794074 1191111 1588148 1985185 2382222 3970370 4367407 4764444 5955555 7940740 8734814 9925925 11911110 13102221 17469628 19851850 21837035 23822220 26204442 29777775 39703700 43674070 48041477 52408884 59555550 65511105 87348140 96082954 109185175 119111100 131022210 144124431 192165908 218370350 240207385 262044420 288248862 327555525 436740700 480414770 576497724 655111050 720622155 960829540 1201036925 1310222100 1441244310 2402073850 2882488620 3603110775 4804147700 7206221550 14412443100