Search a number
-
+
144294436 = 2211213171971
BaseRepresentation
bin10001001100111…
…00001000100100
3101001111220202101
420212130020210
5243414410221
622152421444
73401324326
oct1046341044
9331456671
10144294436
11744a5600
12403a7884
1323b81c30
1415241616
15ca03d91
hex899c224

144294436 has 144 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 53222400.

The previous prime is 144294407. The next prime is 144294443. The reversal of 144294436 is 634492441.

It is a junction number, because it is equal to n+sod(n) for n = 144294395 and 144294404.

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, 2032281 + ... + 2032351.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2144294436 is an apocalyptic number.

It is an amenable number.

144294436 is an abundant number, since it is smaller than the sum of its proper divisors (193546844).

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

144294436 is a wasteful number, since it uses less digits than its factorization.

144294436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 144294436 is about 12012.2619019067. The cubic root of 144294436 is about 524.5052766597.

The spelling of 144294436 in words is "one hundred forty-four million, two hundred ninety-four thousand, four hundred thirty-six".

Divisors: 1 2 4 11 13 17 19 22 26 34 38 44 52 68 71 76 121 142 143 187 209 221 242 247 284 286 323 374 418 442 484 494 572 646 748 781 836 884 923 988 1207 1292 1349 1562 1573 1846 2057 2299 2414 2431 2698 2717 3124 3146 3553 3692 4114 4199 4598 4828 4862 5396 5434 6292 7106 8228 8398 8591 9196 9724 10153 10868 13277 14212 14839 15691 16796 17182 17537 20306 22933 26554 26741 29678 29887 31382 34364 35074 39083 40612 45866 46189 53108 53482 59356 59774 62764 70148 78166 91732 92378 106964 111683 119548 146047 156332 163229 172601 184756 192907 223366 252263 292094 298129 326458 345202 385814 446732 504526 508079 584188 596258 652916 690404 771628 1009052 1016158 1192516 1898611 2032316 2121977 2774893 3279419 3797222 4243954 5549786 6558838 7594444 8487908 11099572 13117676 36073609 72147218 144294436