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141390288 = 243213471607
BaseRepresentation
bin10000110110101…
…11000111010000
3100212001101000100
420123113013100
5242143442123
622010252400
73334540404
oct1033270720
9325041010
10141390288
11728a1686
123b427100
13233a60c0
1414ac7104
15c62d643
hex86d71d0

141390288 has 120 divisors (see below), whose sum is σ = 435472128. Its totient is φ = 42552576.

The previous prime is 141390281. The next prime is 141390299. The reversal of 141390288 is 882093141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141390281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87181 + ... + 88787.

Almost surely, 2141390288 is an apocalyptic number.

141390288 is a gapful number since it is divisible by the number (18) 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 141390288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217736064).

141390288 is an abundant number, since it is smaller than the sum of its proper divisors (294081840).

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

141390288 is a wasteful number, since it uses less digits than its factorization.

141390288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 141390288 is about 11890.7648198087. The cubic root of 141390288 is about 520.9625760429.

The spelling of 141390288 in words is "one hundred forty-one million, three hundred ninety thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1607 1692 1833 1872 2256 2444 3214 3384 3666 4821 4888 5499 6428 6768 7332 9642 9776 10998 12856 14463 14664 19284 20891 21996 25712 28926 29328 38568 41782 43992 57852 62673 75529 77136 83564 87984 115704 125346 151058 167128 188019 226587 231408 250692 302116 334256 376038 453174 501384 604232 679761 752076 906348 981877 1002768 1208464 1359522 1504152 1812696 1963754 2719044 2945631 3008304 3625392 3927508 5438088 5891262 7855016 8836893 10876176 11782524 15710032 17673786 23565048 35347572 47130096 70695144 141390288