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10143140400 = 2432522817539
BaseRepresentation
bin10010111001001010…
…00000101000110000
3222011220002220211200
421130211000220300
5131233120443100
64354254411200
7506233161621
oct113445005060
928156086750
1010143140400
1143355a1568
121b70b00b00
13c58557033
146c3183a48
153e5734e00
hex25c940a30

10143140400 has 90 divisors (see below), whose sum is σ = 35199527220. Its totient is φ = 2704836480.

The previous prime is 10143140383. The next prime is 10143140437. The reversal of 10143140400 is 404134101.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×101431404002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1405170 + ... + 1412369.

It is an arithmetic number, because the mean of its divisors is an integer number (391105858).

Almost surely, 210143140400 is an apocalyptic number.

10143140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10143140400 is an abundant number, since it is smaller than the sum of its proper divisors (25056386820).

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

10143140400 is a wasteful number, since it uses less digits than its factorization.

10143140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817563 (or 2817549 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10143140400 its reverse (404134101), we get a palindrome (10547274501).

The spelling of 10143140400 in words is "ten billion, one hundred forty-three million, one hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 2817539 5635078 8452617 11270156 14087695 16905234 22540312 25357851 28175390 33810468 42263085 45080624 50715702 56350780 67620936 70438475 84526170 101431404 112701560 126789255 135241872 140876950 169052340 202862808 211315425 225403120 253578510 281753900 338104680 405725616 422630850 507157020 563507800 633946275 676209360 845261700 1014314040 1127015600 1267892550 1690523400 2028628080 2535785100 3381046800 5071570200 10143140400