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10143214400 = 265211576319
BaseRepresentation
bin10010111001001010…
…10010101101000000
3222011220020200100102
421130211102231000
5131233130330100
64354300141532
7506233620434
oct113445225500
928156220312
1010143214400
114335642120
121b70b378a8
13c58581917
146c31a29c4
153e574bcd5
hex25c952b40

10143214400 has 84 divisors (see below), whose sum is σ = 27227662080. Its totient is φ = 3688435200.

The previous prime is 10143214379. The next prime is 10143214409. The reversal of 10143214400 is 441234101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143214409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270560 + ... + 305759.

Almost surely, 210143214400 is an apocalyptic number.

10143214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10143214400 is an abundant number, since it is smaller than the sum of its proper divisors (17084447680).

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

10143214400 is a wasteful number, since it uses less digits than its factorization.

10143214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576352 (or 576337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10143214400 its reverse (441234101), we get a palindrome (10584448501).

The spelling of 10143214400 in words is "ten billion, one hundred forty-three million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 576319 1152638 2305276 2881595 4610552 5763190 6339509 9221104 11526380 12679018 14407975 18442208 23052760 25358036 28815950 31697545 36884416 46105520 50716072 57631900 63395090 92211040 101432144 115263800 126790180 158487725 184422080 202864288 230527600 253580360 316975450 405728576 461055200 507160720 633950900 922110400 1014321440 1267901800 2028642880 2535803600 5071607200 10143214400