Search a number
-
+
1045143414 = 2327231312753
BaseRepresentation
bin111110010010111…
…001111101110110
32200211121210020100
4332102321331312
54120024042124
6251413014530
734620400230
oct7622717566
92624553210
101045143414
11496a57797
12252024446
131386b4b73
149cb3d250
1561b4c1c9
hex3e4b9f76

1045143414 has 96 divisors (see below), whose sum is σ = 2722097664. Its totient is φ = 283345920.

The previous prime is 1045143401. The next prime is 1045143427. The reversal of 1045143414 is 4143415401.

1045143414 is a `hidden beast` number, since 104 + 5 + 143 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (1045143401) and next prime (1045143427).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378262 + ... + 381014.

It is an arithmetic number, because the mean of its divisors is an integer number (28355184).

Almost surely, 21045143414 is an apocalyptic number.

1045143414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045143414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361048832).

1045143414 is an abundant number, since it is smaller than the sum of its proper divisors (1676954250).

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

1045143414 is a wasteful number, since it uses less digits than its factorization.

1045143414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1045143414 is about 32328.6778882156. The cubic root of 1045143414 is about 1014.8268817481.

Adding to 1045143414 its reverse (4143415401), we get a palindrome (5188558815).

The spelling of 1045143414 in words is "one billion, forty-five million, one hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 131 138 161 207 262 322 393 414 483 786 917 966 1179 1449 1834 2358 2751 2753 2898 3013 5502 5506 6026 8253 8259 9039 16506 16518 18078 19271 21091 24777 27117 38542 42182 49554 54234 57813 63273 63319 115626 126546 126638 173439 189819 189957 346878 360643 379638 379914 443233 569871 721286 886466 1081929 1139742 1329699 2163858 2524501 2659398 3245787 3989097 5049002 6491574 7573503 7978194 8294789 15147006 16589578 22720509 24884367 45441018 49768734 58063523 74653101 116127046 149306202 174190569 348381138 522571707 1045143414