Search a number
-
+
1412334140 = 225743283829
BaseRepresentation
bin101010000101110…
…1000001000111100
310122102120000012212
41110023220020330
510343024143030
6352051115552
746666433150
oct12413501074
93572500185
101412334140
116652535a8
12334ba2bb8
131967a9899
14d5803060
1583ece595
hex542e823c

1412334140 has 96 divisors (see below), whose sum is σ = 3484884480. Its totient is φ = 470727936.

The previous prime is 1412334137. The next prime is 1412334149. The reversal of 1412334140 is 414332141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412334149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703246 + ... + 1704074.

It is an arithmetic number, because the mean of its divisors is an integer number (36300880).

Almost surely, 21412334140 is an apocalyptic number.

1412334140 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 1412334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742442240).

1412334140 is an abundant number, since it is smaller than the sum of its proper divisors (2072550340).

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

1412334140 is a wasteful number, since it uses less digits than its factorization.

1412334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1412334140 is about 37581.0343125359. The cubic root of 1412334140 is about 1121.9645950383.

Adding to 1412334140 its reverse (414332141), we get a palindrome (1826666281).

The spelling of 1412334140 in words is "one billion, four hundred twelve million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 283 301 430 566 602 829 860 1132 1204 1415 1505 1658 1981 2830 3010 3316 3962 4145 5660 5803 6020 7924 8290 9905 11606 12169 16580 19810 23212 24338 29015 35647 39620 48676 58030 60845 71294 85183 116060 121690 142588 170366 178235 234607 243380 249529 340732 356470 425915 469214 499058 712940 851830 938428 998116 1173035 1247645 1642249 1703660 2346070 2495290 3284498 4692140 4990580 6568996 8211245 10088101 16422490 20176202 32844980 40352404 50440505 70616707 100881010 141233414 201762020 282466828 353083535 706167070 1412334140