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141403320 = 23 ⋅ 34 ⋅ 5 ⋅ 19 ⋅ 2297
BaseRepresentation
bin10000110110110…
……10010010111000
3100212002000220000
420123122102320
5242144401240
622010433000
73334623402
oct1033322270
9325060800
10141403320
1172900453
123b432760
13233ac006
1414acbb72
15c632430
hex86da4b8

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(max 15 digits)

141403320 has 160 divisors (see below), whose sum is σ = 500504400. Its totient is φ = 35707392.

The previous prime is 141403319. The next prime is 141403321. The reversal of 141403320 is 23304141.

It is an interprime number because it is at equal distance from previous prime (141403319) and next prime (141403321).

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

It is a junction number, because it is equal to n+sod(n) for n = 141403293 and 141403302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141403321) 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 39 ways as a sum of consecutive naturals, for example, 60412 + ... + 62708.

Almost surely, 2141403320 is an apocalyptic number.

141403320 is a gapful number since it is divisible by the number (10) 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 141403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250252200).

141403320 is an abundant number, since it is smaller than the sum of its proper divisors (359101080).

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

141403320 is a wasteful number, since it uses less digits than its factorization.

141403320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 141403320 is about 11891.3127954823. The cubic root of 141403320 is about 520.9785813283.

Adding to 141403320 its reverse (23304141), we get a palindrome (164707461).

The spelling of 141403320 in words is "one hundred forty-one million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2297 2565 3078 3240 3420 4104 4594 5130 6156 6840 6891 7695 9188 10260 11485 12312 13782 15390 18376 20520 20673 22970 27564 30780 34455 41346 43643 45940 55128 61560 62019 68910 82692 87286 91880 103365 124038 130929 137820 165384 174572 186057 206730 218215 248076 261858 275640 310095 349144 372114 392787 413460 436430 496152 523716 620190 654645 744228 785574 826920 872860 930285 1047432 1178361 1240380 1309290 1488456 1571148 1745720 1860570 1963935 2356722 2480760 2618580 3142296 3535083 3721140 3927870 4713444 5237160 5891805 7070166 7442280 7855740 9426888 11783610 14140332 15711480 17675415 23567220 28280664 35350830 47134440 70701660 141403320