Search a number
-
+
145441212 = 223723179101
BaseRepresentation
bin10001010101101…
…00000110111100
3101010200011211120
420222310012330
5244213104322
622233150540
73414141600
oct1052640674
9333604746
10145441212
1175109154
124085b450
1324193bb7
141545d500
15cb7da5c
hex8ab41bc

145441212 has 144 divisors (see below), whose sum is σ = 416747520. Its totient is φ = 39312000.

The previous prime is 145441201. The next prime is 145441223. The reversal of 145441212 is 212144541.

It is an interprime number because it is at equal distance from previous prime (145441201) and next prime (145441223).

It is a super-2 number, since 2×1454412122 = 42306292296057888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1439962 + ... + 1440062.

It is an arithmetic number, because the mean of its divisors is an integer number (2894080).

Almost surely, 2145441212 is an apocalyptic number.

145441212 is a gapful number since it is divisible by the number (12) 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 145441212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208373760).

145441212 is an abundant number, since it is smaller than the sum of its proper divisors (271306308).

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

145441212 is a wasteful number, since it uses less digits than its factorization.

145441212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 145441212 is about 12059.9009946185. The cubic root of 145441212 is about 525.8911088427.

Adding to 145441212 its reverse (212144541), we get a palindrome (357585753).

The spelling of 145441212 in words is "one hundred forty-five million, four hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 79 84 93 98 101 124 147 158 186 196 202 217 237 294 303 316 372 404 434 474 553 588 606 651 707 868 948 1106 1212 1302 1414 1519 1659 2121 2212 2449 2604 2828 3038 3131 3318 3871 4242 4557 4898 4949 6076 6262 6636 7347 7742 7979 8484 9114 9393 9796 9898 11613 12524 14694 14847 15484 15958 17143 18228 18786 19796 21917 23226 23937 29388 29694 31916 34286 37572 43834 46452 47874 51429 55853 59388 65751 68572 87668 95748 102858 111706 120001 131502 153419 167559 205716 223412 240002 247349 263004 306838 335118 360003 390971 460257 480004 494698 613676 670236 720006 742047 781942 920514 989396 1172913 1440012 1484094 1563884 1731443 1841028 2345826 2968188 3462886 4691652 5194329 6925772 10388658 12120101 20777316 24240202 36360303 48480404 72720606 145441212