Search a number
-
+
10340143000400 = 2452231123928587
BaseRepresentation
bin1001011001111000000010…
…0011001110101101010000
31100121111201100021222202002
42112132000203032231100
52323403103102003100
633554110210013132
72115023245215353
oct226360043165520
940544640258662
1010340143000400
11332725917a704
1211abba4b771a8
135a00c08575b5
1427a67382429a
1512de869342d5
hex967808ceb50

10340143000400 has 60 divisors (see below), whose sum is σ = 25922288953632. Its totient is φ = 3956228622720.

The previous prime is 10340143000373. The next prime is 10340143000409. The reversal of 10340143000400 is 400034104301.

It is a happy number.

It is a super-2 number, since 2×103401430004002 (a number of 27 digits) contains 22 as substring.

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 (10340143000409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561955094 + ... + 561973493.

Almost surely, 210340143000400 is an apocalyptic number.

10340143000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340143000400 is an abundant number, since it is smaller than the sum of its proper divisors (15582145953232).

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

10340143000400 is a wasteful number, since it uses less digits than its factorization.

10340143000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123928628 (or 1123928617 counting only the distinct ones).

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

Adding to 10340143000400 its reverse (400034104301), we get a palindrome (10740177104701).

The spelling of 10340143000400 in words is "ten trillion, three hundred forty billion, one hundred forty-three million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 1123928587 2247857174 4495714348 5619642935 8991428696 11239285870 17982857392 22478571740 25850357501 28098214675 44957143480 51700715002 56196429350 89914286960 103401430004 112392858700 129251787505 206802860008 224785717400 258503575010 413605720016 449571434800 517007150020 646258937525 1034014300040 1292517875050 2068028600080 2585035750100 5170071500200 10340143000400