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141142144 = 2711213701
BaseRepresentation
bin10000110100110…
…10100010000000
3100211120202121211
420122122202000
5242113022034
622001055504
73332455063
oct1032324200
9324522554
10141142144
1172742200
123b327594
132331a180
1414a608da
15c5ced64
hex869a880

141142144 has 96 divisors (see below), whose sum is σ = 333316620. Its totient is φ = 59136000.

The previous prime is 141142139. The next prime is 141142181. The reversal of 141142144 is 441241141.

It can be written as a sum of positive squares in 2 ways, for example, as 141134400 + 7744 = 11880^2 + 88^2 .

It is a super-2 number, since 2×1411421442 = 39842209625833472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200994 + ... + 201694.

Almost surely, 2141142144 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 141142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166658310).

141142144 is an abundant number, since it is smaller than the sum of its proper divisors (192174476).

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

141142144 is a wasteful number, since it uses less digits than its factorization.

141142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 727 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 141142144 is about 11880.3259214552. The cubic root of 141142144 is about 520.6576295022.

Adding to 141142144 its reverse (441241141), we get a palindrome (582383285).

The spelling of 141142144 in words is "one hundred forty-one million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 176 208 242 286 352 416 484 572 701 704 832 968 1144 1402 1408 1573 1664 1936 2288 2804 3146 3872 4576 5608 6292 7711 7744 9113 9152 11216 12584 15422 15488 18226 18304 22432 25168 30844 36452 44864 50336 61688 72904 84821 89728 100243 100672 123376 145808 169642 200486 201344 246752 291616 339284 400972 493504 583232 678568 801944 987008 1102673 1166464 1357136 1603888 2205346 2714272 3207776 4410692 5428544 6415552 8821384 10857088 12831104 17642768 35285536 70571072 141142144