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141312704 = 26131797103
BaseRepresentation
bin10000110110001…
…00001011000000
3100211220102120212
420123010023000
5242134001304
622004453252
73334065251
oct1033041300
9324812525
10141312704
1172849365
123b3aa228
13233799b0
1414aa6b28
15c61566e
hex86c42c0

141312704 has 112 divisors (see below), whose sum is σ = 326184768. Its totient is φ = 60162048.

The previous prime is 141312701. The next prime is 141312707. The reversal of 141312704 is 407213141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141312701) and next prime (141312707).

It is a self number, because there is not a number n which added to its sum of digits gives 141312704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141312701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371917 + ... + 1372019.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2141312704 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 141312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163092384).

141312704 is an abundant number, since it is smaller than the sum of its proper divisors (184872064).

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

141312704 is a wasteful number, since it uses less digits than its factorization.

141312704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 141312704 is about 11887.5020084120. The cubic root of 141312704 is about 520.8672706860.

Adding to 141312704 its reverse (407213141), we get a palindrome (548525845).

The spelling of 141312704 in words is "one hundred forty-one million, three hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 97 103 104 136 194 206 208 221 272 388 412 416 442 544 776 824 832 884 1088 1261 1339 1552 1648 1649 1751 1768 2522 2678 3104 3296 3298 3502 3536 5044 5356 6208 6592 6596 7004 7072 9991 10088 10712 13192 14008 14144 19982 20176 21424 21437 22763 26384 28016 39964 40352 42848 42874 45526 52768 56032 79928 80704 85696 85748 91052 105536 112064 129883 159856 169847 171496 182104 259766 319712 339694 342992 364208 519532 639424 679388 685984 728416 1039064 1358776 1371968 1456832 2078128 2208011 2717552 4156256 4416022 5435104 8312512 8832044 10870208 17664088 35328176 70656352 141312704