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141434244 = 223271035449
BaseRepresentation
bin10000110111000…
…01110110000100
3100212010121022100
420123201312010
5242201343434
622011232100
73335112510
oct1033416604
9325117270
10141434244
1172921706
123b448630
13233c0103
1414ad9140
15c63b699
hex86e1d84

141434244 has 72 divisors (see below), whose sum is σ = 412630400. Its totient is φ = 40010112.

The previous prime is 141434243. The next prime is 141434257. The reversal of 141434244 is 442434141.

141434244 is a `hidden beast` number, since 1 + 414 + 3 + 4 + 244 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (141434243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23232 + ... + 28680.

Almost surely, 2141434244 is an apocalyptic number.

141434244 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 141434244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206315200).

141434244 is an abundant number, since it is smaller than the sum of its proper divisors (271196156).

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

141434244 is a wasteful number, since it uses less digits than its factorization.

141434244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5564 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 141434244 is about 11892.6130013551. The cubic root of 141434244 is about 521.0165567859.

Adding to 141434244 its reverse (442434141), we get a palindrome (583868385).

The spelling of 141434244 in words is "one hundred forty-one million, four hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1442 1854 2163 2884 3708 4326 5449 6489 8652 10898 12978 16347 21796 25956 32694 38143 49041 65388 76286 98082 114429 152572 196164 228858 343287 457716 561247 686574 1122494 1373148 1683741 2244988 3367482 3928729 5051223 6734964 7857458 10102446 11786187 15714916 20204892 23572374 35358561 47144748 70717122 141434244