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14403142000 = 245313975711
BaseRepresentation
bin11010110100111111…
…01000000101110000
31101011210001102102201
431122133220011300
5213444201021000
610341113152544
71016631454432
oct153237500560
941153042381
1014403142000
11612121a845
12295b6bb754
131486cb0640
149a8c58652
1559471796a
hex35a7e8170

14403142000 has 160 divisors (see below), whose sum is σ = 37899074304. Its totient is φ = 5262336000.

The previous prime is 14403141997. The next prime is 14403142007. The reversal of 14403142000 is 24130441.

14403142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14403142007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2519145 + ... + 2524855.

Almost surely, 214403142000 is an apocalyptic number.

14403142000 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 14403142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18949537152).

14403142000 is an abundant number, since it is smaller than the sum of its proper divisors (23495932304).

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

14403142000 is a wasteful number, since it uses less digits than its factorization.

14403142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 14403142000 its reverse (24130441), we get a palindrome (14427272441).

The spelling of 14403142000 in words is "fourteen billion, four hundred three million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 97 100 104 125 130 194 200 208 250 260 325 388 400 485 500 520 650 776 970 1000 1040 1261 1300 1552 1625 1940 2000 2425 2522 2600 3250 3880 4850 5044 5200 5711 6305 6500 7760 9700 10088 11422 12125 12610 13000 19400 20176 22844 24250 25220 26000 28555 31525 38800 45688 48500 50440 57110 63050 74243 91376 97000 100880 114220 126100 142775 148486 157625 194000 228440 252200 285550 296972 315250 371215 456880 504400 553967 571100 593944 630500 713875 742430 1107934 1142200 1187888 1261000 1427750 1484860 1856075 2215868 2284400 2522000 2769835 2855500 2969720 3712150 4431736 5539670 5711000 5939440 7201571 7424300 8863472 9280375 11079340 11422000 13849175 14403142 14848600 18560750 22158680 27698350 28806284 29697200 36007855 37121500 44317360 55396700 57612568 69245875 72015710 74243000 110793400 115225136 138491750 144031420 148486000 180039275 221586800 276983500 288062840 360078550 553967000 576125680 720157100 900196375 1107934000 1440314200 1800392750 2880628400 3600785500 7201571000 14403142000