Search a number
-
+
141410403120 = 24357158353173
BaseRepresentation
bin1000001110110010110…
…1111000001100110000
3111112000010121210002210
42003230231320030300
54304102030344440
6144544003412120
713134165410520
oct2035455701460
9445003553083
10141410403120
1154a76538958
12234a6084040
1310447b4395c
146bb6a8b680
153a2996da80
hex20ecb78330

141410403120 has 160 divisors (see below), whose sum is σ = 501322770432. Its totient is φ = 32301351936.

The previous prime is 141410403097. The next prime is 141410403259. The reversal of 141410403120 is 21304014141.

It is a super-2 number, since 2×1414104031202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 2632854 + ... + 2686026.

Almost surely, 2141410403120 is an apocalyptic number.

141410403120 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 141410403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250661385216).

141410403120 is an abundant number, since it is smaller than the sum of its proper divisors (359912367312).

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

141410403120 is a wasteful number, since it uses less digits than its factorization.

141410403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54779 (or 54773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 141410403120 its reverse (21304014141), we get a palindrome (162714417261).

The spelling of 141410403120 in words is "one hundred forty-one billion, four hundred ten million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1583 1680 3166 4749 6332 7915 9498 11081 12664 15830 18996 22162 23745 25328 31660 33243 37992 44324 47490 53173 55405 63320 66486 75984 88648 94980 106346 110810 126640 132972 159519 166215 177296 189960 212692 221620 265865 265944 319038 332430 372211 379920 425384 443240 531730 531888 638076 664860 744422 797595 850768 886480 1063460 1116633 1276152 1329720 1488844 1595190 1861055 2126920 2233266 2552304 2659440 2977688 3190380 3722110 4253840 4466532 5583165 5955376 6380760 7444220 8933064 11166330 12761520 14888440 17866128 22332660 29776880 44665320 84172859 89330640 168345718 252518577 336691436 420864295 505037154 589210013 673382872 841728590 1010074308 1178420026 1262592885 1346765744 1683457180 1767630039 2020148616 2356840052 2525185770 2946050065 3366914360 3535260078 4040297232 4713680104 5050371540 5892100130 6733828720 7070520156 8838150195 9427360208 10100743080 11784200260 14141040312 17676300390 20201486160 23568400520 28282080624 35352600780 47136801040 70705201560 141410403120