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112143144400 = 2452725721589
BaseRepresentation
bin110100001110001000…
…0001001010111010000
3101201110110002222210121
41220130100021113100
53314132121110100
6123303504440024
711050003666600
oct1503420112720
9351413088717
10112143144400
1143617977231
1219898619014
13a7625128a1
1455dbaa0c00
152db533351a
hex1a1c4095d0

112143144400 has 90 divisors (see below), whose sum is σ = 313411535430. Its totient is φ = 38449071360.

The previous prime is 112143144359. The next prime is 112143144409. The reversal of 112143144400 is 4441341211.

It can be written as a sum of positive squares in 3 ways, for example, as 485585296 + 111657559104 = 22036^2 + 334152^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112143144409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2841195 + ... + 2880394.

Almost surely, 2112143144400 is an apocalyptic number.

112143144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112143144400 is an abundant number, since it is smaller than the sum of its proper divisors (201268391030).

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

112143144400 is a wasteful number, since it uses less digits than its factorization.

112143144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721621 (or 5721603 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 112143144400 its reverse (4441341211), we get a palindrome (116584485611).

The spelling of 112143144400 in words is "one hundred twelve billion, one hundred forty-three million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 5721589 11443178 22886356 28607945 40051123 45772712 57215890 80102246 91545424 114431780 143039725 160204492 200255615 228863560 280357861 286079450 320408984 400511230 457727120 560715722 572158900 640817968 801022460 1001278075 1121431444 1144317800 1401789305 1602044920 2002556150 2242862888 2288635600 2803578610 3204089840 4005112300 4485725776 5607157220 7008946525 8010224600 11214314440 14017893050 16020449200 22428628880 28035786100 56071572200 112143144400