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141344213310 = 232529109349547
BaseRepresentation
bin1000001110100011000…
…1011000100100111110
3111111211112001222202100
42003220301120210332
54303433104311220
6144533241005530
713132432663356
oct2035061304476
9444745058670
10141344213310
1154a4213a533
1223487a838a6
131043720a4a1
146babd7bb66
153a23c46d90
hex20e8c5893e

141344213310 has 96 divisors (see below), whose sum is σ = 380522694240. Its totient is φ = 36358043904.

The previous prime is 141344213287. The next prime is 141344213333. The reversal of 141344213310 is 13312443141.

141344213310 is a `hidden beast` number, since 1 + 4 + 1 + 344 + 2 + 1 + 3 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (141344213287) and next prime (141344213333).

It is a super-2 number, since 2×1413442133102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2827957 + ... + 2877503.

It is an arithmetic number, because the mean of its divisors is an integer number (3963778065).

Almost surely, 2141344213310 is an apocalyptic number.

141344213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141344213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190261347120).

141344213310 is an abundant number, since it is smaller than the sum of its proper divisors (239178480930).

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

141344213310 is a wasteful number, since it uses less digits than its factorization.

141344213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50682 (or 50679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 141344213310 its reverse (13312443141), we get a palindrome (154656656451).

The spelling of 141344213310 in words is "one hundred forty-one billion, three hundred forty-four million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1093 1305 2186 2610 3279 5465 6558 9837 10930 16395 19674 31697 32790 49185 49547 63394 95091 98370 99094 148641 158485 190182 247735 285273 297282 316970 445923 475455 495470 570546 743205 891846 950910 1426365 1436863 1486410 2229615 2852730 2873726 4310589 4459230 7184315 8621178 12931767 14368630 21552945 25863534 43105890 54154871 64658835 108309742 129317670 162464613 270774355 324929226 487393839 541548710 812323065 974787678 1570491259 1624646130 2436969195 3140982518 4711473777 4873938390 7852456295 9422947554 14134421331 15704912590 23557368885 28268842662 47114737770 70672106655 141344213310