Search a number
-
+
141430224 = 243131979151
BaseRepresentation
bin10000110111000…
…00110111010000
3100212010101210110
420123200313100
5242201231344
622011201320
73335065005
oct1033406720
9325111713
10141430224
1172919691
123b446240
13233bb330
1414ad78ac
15c63a3b9
hex86e0dd0

141430224 has 160 divisors (see below), whose sum is σ = 422195200. Its totient is φ = 40435200.

The previous prime is 141430213. The next prime is 141430241. The reversal of 141430224 is 422034141.

141430224 = T1496 + T1497 + ... + T1612.

It is a self number, because there is not a number n which added to its sum of digits gives 141430224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936549 + ... + 936699.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2141430224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211097600).

141430224 is an abundant number, since it is smaller than the sum of its proper divisors (280764976).

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

141430224 is a wasteful number, since it uses less digits than its factorization.

141430224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 141430224 is about 11892.4439876755. The cubic root of 141430224 is about 521.0116204368.

Adding to 141430224 its reverse (422034141), we get a palindrome (563464365).

The spelling of 141430224 in words is "one hundred forty-one million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 79 104 114 151 152 156 158 208 228 237 247 302 304 312 316 453 456 474 494 604 624 632 741 906 912 948 988 1027 1208 1264 1482 1501 1812 1896 1963 1976 2054 2416 2869 2964 3002 3081 3624 3792 3926 3952 4108 4503 5738 5889 5928 6004 6162 7248 7852 8216 8607 9006 11476 11778 11856 11929 12008 12324 15704 16432 17214 18012 19513 22952 23556 23858 24016 24648 31408 34428 35787 36024 37297 39026 45904 47112 47716 49296 58539 68856 71574 72048 74594 78052 94224 95432 111891 117078 137712 143148 149188 155077 156104 190864 223782 226651 234156 286296 298376 310154 312208 447564 453302 465231 468312 572592 596752 620308 679953 895128 906604 930462 936624 1240616 1359906 1790256 1813208 1860924 2481232 2719812 2946463 3626416 3721848 5439624 5892926 7443696 8839389 10879248 11785852 17678778 23571704 35357556 47143408 70715112 141430224