Search a number
-
+
1431412400 = 2452111013221
BaseRepresentation
bin101010101010001…
…1001111010110000
310200202110021200002
41111110121322300
510412420144100
6354012045132
750320542665
oct12524317260
93622407602
101431412400
11674aa4360
1233b4637a8
1319a7295b2
14d816ba6c
15859ec2d5
hex55519eb0

1431412400 has 120 divisors (see below), whose sum is σ = 3789922608. Its totient is φ = 515200000.

The previous prime is 1431412399. The next prime is 1431412403. The reversal of 1431412400 is 42141341.

1431412400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14314124003 (a number of 28 digits) contains 333 as substring.

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 (1431412403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442790 + ... + 446010.

Almost surely, 21431412400 is an apocalyptic number.

1431412400 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 1431412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894961304).

1431412400 is an abundant number, since it is smaller than the sum of its proper divisors (2358510208).

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

1431412400 is a wasteful number, since it uses less digits than its factorization.

1431412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3340 counting only the distinct ones).

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

The square root of 1431412400 is about 37834.0111539868. The cubic root of 1431412400 is about 1126.9939682969.

Adding to 1431412400 its reverse (42141341), we get a palindrome (1473553741).

It can be divided in two parts, 143141 and 2400, that added together give a palindrome (145541).

The spelling of 1431412400 in words is "one billion, four hundred thirty-one million, four hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 3221 4040 4400 4444 5050 5555 6442 8080 8888 10100 11110 12884 16105 17776 20200 22220 25768 27775 32210 35431 40400 44440 51536 55550 64420 70862 80525 88880 111100 128840 141724 161050 177155 222200 257680 283448 322100 325321 354310 444400 566896 644200 650642 708620 885775 1288400 1301284 1417240 1626605 1771550 2602568 2834480 3253210 3543100 3578531 5205136 6506420 7086200 7157062 8133025 13012840 14172400 14314124 16266050 17892655 26025680 28628248 32532100 35785310 57256496 65064200 71570620 89463275 130128400 143141240 178926550 286282480 357853100 715706200 1431412400