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141818352 = 243131729461
BaseRepresentation
bin10000111001111…
…11100111110000
3100212212010012120
420130333213300
5242301141402
622023354240
73341302404
oct1034774760
9325763176
10141818352
1173064255
123b5b2980
13234c5bb0
1414b99104
15c6b53bc
hex873f9f0

141818352 has 160 divisors (see below), whose sum is σ = 433097280. Its totient is φ = 39567360.

The previous prime is 141818329. The next prime is 141818363. The reversal of 141818352 is 253818141.

141818352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1418183522 = 40224889927991808, which contains 22 as substring.

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, 307402 + ... + 307862.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 2141818352 is an apocalyptic number.

141818352 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 141818352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

141818352 is an abundant number, since it is smaller than the sum of its proper divisors (291278928).

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

141818352 is a wasteful number, since it uses less digits than its factorization.

141818352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 141818352 is about 11908.7510680172. The cubic root of 141818352 is about 521.4877904523.

The spelling of 141818352 in words is "one hundred forty-one million, eight hundred eighteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 29 34 39 48 51 52 58 68 78 87 102 104 116 136 156 174 204 208 221 232 272 312 348 377 408 442 461 464 493 624 663 696 754 816 884 922 986 1131 1326 1383 1392 1479 1508 1768 1844 1972 2262 2652 2766 2958 3016 3536 3688 3944 4524 5304 5532 5916 5993 6032 6409 7376 7837 7888 9048 10608 11064 11832 11986 12818 13369 15674 17979 18096 19227 22128 23511 23664 23972 25636 26738 31348 35958 38454 40107 47022 47944 51272 53476 62696 71916 76908 80214 94044 95888 101881 102544 106952 125392 143832 153816 160428 173797 188088 203762 213904 227273 287664 305643 307632 320856 347594 376176 407524 454546 521391 611286 641712 681819 695188 815048 909092 1042782 1222572 1363638 1390376 1630096 1818184 2085564 2445144 2727276 2780752 2954549 3636368 4171128 4890288 5454552 5909098 8342256 8863647 10909104 11818196 17727294 23636392 35454588 47272784 70909176 141818352