Search a number
-
+
141156966000 = 24353191238219
BaseRepresentation
bin1000001101110110011…
…1000101111001110000
3111111100110201211201210
42003131213011321300
54303042140403000
6144502511400120
713125000262011
oct2033547057160
9444313654653
10141156966000
1154956477896
1223435223040
131040749996b
146b91159008
153a125ab350
hex20dd9c5e70

141156966000 has 160 divisors (see below), whose sum is σ = 479042553600. Its totient is φ = 35660678400.

The previous prime is 141156965987. The next prime is 141156966007. The reversal of 141156966000 is 669651141.

141156966000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141156966000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141156966007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505110 + ... + 733109.

It is an arithmetic number, because the mean of its divisors is an integer number (2994015960).

Almost surely, 2141156966000 is an apocalyptic number.

141156966000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141156966000 is an abundant number, since it is smaller than the sum of its proper divisors (337885587600).

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

141156966000 is a wasteful number, since it uses less digits than its factorization.

141156966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238264 (or 1238248 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 141156966000 in words is "one hundred forty-one billion, one hundred fifty-six million, nine hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 1238219 2476438 3714657 4952876 6191095 7429314 9905752 12382190 14858628 18573285 19811504 23526161 24764380 29717256 30955475 37146570 47052322 49528760 59434512 61910950 70578483 74293140 92866425 94104644 99057520 117630805 123821900 141156966 148586280 154777375 185732850 188209288 235261610 247643800 282313932 297172560 309554750 352892415 371465700 376418576 464332125 470523220 495287600 564627864 588154025 619109500 705784830 742931400 928664250 941046440 1129255728 1176308050 1238219000 1411569660 1485862800 1764462075 1857328500 1882092880 2352616100 2476438000 2823139320 2940770125 3528924150 3714657000 4705232200 5646278640 5881540250 7057848300 7429314000 8822310375 9410464400 11763080500 14115696600 17644620750 23526161000 28231393200 35289241500 47052322000 70578483000 141156966000