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13443442525000 = 23551972729633
BaseRepresentation
bin1100001110100000101110…
…0111011100001101001000
31202121011212121211211021201
43003220023213130031020
53230224132241300000
644331455432513544
72555154016023265
oct303501347341510
952534777754251
1013443442525000
114313371921114
12161151984b8b4
13766932640a47
14346947a7226c
15184a64dbe96a
hexc3a0b9dc348

13443442525000 has 96 divisors (see below), whose sum is σ = 31665992699880. Its totient is φ = 5350078720000.

The previous prime is 13443442524989. The next prime is 13443442525013. The reversal of 13443442525000 is 52524434431.

It can be written as a sum of positive squares in 12 ways, for example, as 30019720644 + 13413422804356 = 173262^2 + 3662434^2 .

It is a super-2 number, since 2×134434425250002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3560184 + ... + 6289816.

Almost surely, 213443442525000 is an apocalyptic number.

13443442525000 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 13443442525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832996349940).

13443442525000 is an abundant number, since it is smaller than the sum of its proper divisors (18222550174880).

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

13443442525000 is an equidigital number, since it uses as much as digits as its factorization.

13443442525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729861 (or 2729837 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 13443442525000 its reverse (52524434431), we get a palindrome (13495966959431).

The spelling of 13443442525000 in words is "thirteen trillion, four hundred forty-three billion, four hundred forty-two million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 200 250 394 500 625 788 985 1000 1250 1576 1970 2500 3125 3940 4925 5000 6250 7880 9850 12500 19700 24625 25000 39400 49250 98500 123125 197000 246250 492500 615625 985000 1231250 2462500 2729633 4925000 5459266 10918532 13648165 21837064 27296330 54592660 68240825 109185320 136481650 272963300 341204125 537737701 545926600 682408250 1075475402 1364816500 1706020625 2150950804 2688688505 2729633000 3412041250 4301901608 5377377010 6824082500 8530103125 10754754020 13443442525 13648165000 17060206250 21509508040 26886885050 34120412500 53773770100 67217212625 68240825000 107547540200 134434425250 268868850500 336086063125 537737701000 672172126250 1344344252500 1680430315625 2688688505000 3360860631250 6721721262500 13443442525000