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141214104 = 2335174273
BaseRepresentation
bin10000110101011…
…00000110011000
3100211201102100000
420122230012120
5242122322404
622002413000
73333204633
oct1032540630
9324642300
10141214104
1172791279
123b361160
1323343b55
1414a7cc1a
15c5e6339
hex86ac198

141214104 has 96 divisors (see below), whose sum is σ = 420048720. Its totient is φ = 44292096.

The previous prime is 141214093. The next prime is 141214109. The reversal of 141214104 is 401412141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141214109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30912 + ... + 35184.

Almost surely, 2141214104 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 141214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210024360).

141214104 is an abundant number, since it is smaller than the sum of its proper divisors (278834616).

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

141214104 is a wasteful number, since it uses less digits than its factorization.

141214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141214104 is about 11883.3540719782. The cubic root of 141214104 is about 520.7460986072.

Adding to 141214104 its reverse (401412141), we get a palindrome (542626245).

It can be divided in two parts, 14121 and 4104, that added together give a square (18225 = 1352).

The spelling of 141214104 in words is "one hundred forty-one million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 4131 4273 5508 8262 8546 11016 12819 16524 17092 25638 33048 34184 38457 51276 72641 76914 102552 115371 145282 153828 217923 230742 290564 307656 346113 435846 461484 581128 653769 692226 871692 922968 1038339 1307538 1384452 1743384 1961307 2076678 2615076 2768904 3922614 4153356 5230152 5883921 7845228 8306712 11767842 15690456 17651763 23535684 35303526 47071368 70607052 141214104