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13142234000 = 245374719973
BaseRepresentation
bin11000011110101011…
…01001001110010000
31020220220102122211102
430033111221032100
5203403402442000
610012031403532
7643451101010
oct141725511620
936826378742
1013142234000
1156344a2a15
1226693835a8
1313159b1b2c
148c95d1c40
1551db9a3d5
hex30f569390

13142234000 has 160 divisors (see below), whose sum is σ = 37092197376. Its totient is φ = 4409817600.

The previous prime is 13142233967. The next prime is 13142234003. The reversal of 13142234000 is 43224131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13142234003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648014 + ... + 667986.

Almost surely, 213142234000 is an apocalyptic number.

13142234000 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 13142234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18546098688).

13142234000 is an abundant number, since it is smaller than the sum of its proper divisors (23949963376).

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

13142234000 is a wasteful number, since it uses less digits than its factorization.

13142234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20050 (or 20034 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13142234000 its reverse (43224131), we get a palindrome (13185458131).

The spelling of 13142234000 in words is "thirteen billion, one hundred forty-two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 47 50 56 70 80 94 100 112 125 140 175 188 200 235 250 280 329 350 376 400 470 500 560 658 700 752 875 940 1000 1175 1316 1400 1645 1750 1880 2000 2350 2632 2800 3290 3500 3760 4700 5264 5875 6580 7000 8225 9400 11750 13160 14000 16450 18800 19973 23500 26320 32900 39946 41125 47000 65800 79892 82250 94000 99865 131600 139811 159784 164500 199730 279622 319568 329000 399460 499325 559244 658000 699055 798920 938731 998650 1118488 1398110 1597840 1877462 1997300 2236976 2496625 2796220 3495275 3754924 3994600 4693655 4993250 5592440 6571117 6990550 7509848 7989200 9387310 9986500 11184880 13142234 13981100 15019696 17476375 18774620 19973000 23468275 26284468 27962200 32855585 34952750 37549240 39946000 46936550 52568936 55924400 65711170 69905500 75098480 93873100 105137872 117341375 131422340 139811000 164277925 187746200 234682750 262844680 279622000 328555850 375492400 469365500 525689360 657111700 821389625 938731000 1314223400 1642779250 1877462000 2628446800 3285558500 6571117000 13142234000