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141200304 = 24372943337
BaseRepresentation
bin10000110101010…
…00101110110000
3100211200201101220
420122220232300
5242121402204
622002225040
73333116460
oct1032505660
9324621356
10141200304
1172781973
123b355180
132333a79b
1414a77ba0
15c5e21d9
hex86a8bb0

141200304 has 160 divisors (see below), whose sum is σ = 442590720. Its totient is φ = 37933056.

The previous prime is 141200291. The next prime is 141200329. The reversal of 141200304 is 403002141.

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, 418824 + ... + 419160.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2141200304 is an apocalyptic number.

141200304 is a gapful number since it is divisible by the number (14) 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 141200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221295360).

141200304 is an abundant number, since it is smaller than the sum of its proper divisors (301390416).

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

141200304 is a wasteful number, since it uses less digits than its factorization.

141200304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 141200304 is about 11882.7734136438. The cubic root of 141200304 is about 520.7291349328.

Adding to 141200304 its reverse (403002141), we get a palindrome (544202445).

The spelling of 141200304 in words is "one hundred forty-one million, two hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 43 48 56 58 84 86 87 112 116 129 168 172 174 203 232 258 301 336 337 344 348 406 464 516 602 609 674 688 696 812 903 1011 1032 1204 1218 1247 1348 1392 1624 1806 2022 2064 2359 2408 2436 2494 2696 3248 3612 3741 4044 4718 4816 4872 4988 5392 7077 7224 7482 8088 8729 9436 9744 9773 9976 14154 14448 14491 14964 16176 17458 18872 19546 19952 26187 28308 28982 29319 29928 34916 37744 39092 43473 52374 56616 57964 58638 59856 68411 69832 78184 86946 101437 104748 113232 115928 117276 136822 139664 156368 173892 202874 205233 209496 231856 234552 273644 304311 347784 405748 410466 418992 420239 469104 547288 608622 695568 811496 820932 840478 1094576 1217244 1260717 1622992 1641864 1680956 2434488 2521434 2941673 3283728 3361912 4868976 5042868 5883346 6723824 8825019 10085736 11766692 17650038 20171472 23533384 35300076 47066768 70600152 141200304