Search a number
-
+
9142159200 = 253529713923
BaseRepresentation
bin10001000001110101…
…00100011101100000
3212121010120210202220
420200322210131200
5122210343043300
64111100111040
7442360033236
oct104072443540
925533523686
109142159200
113971568579
121931835480
13b29065375
1462a25c956
1538790cda0
hex220ea4760

9142159200 has 144 divisors (see below), whose sum is σ = 29795967936. Its totient is φ = 2434777600.

The previous prime is 9142159189. The next prime is 9142159231. The reversal of 9142159200 is 29512419.

It is a congruent number.

It is an unprimeable number.

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, 2328439 + ... + 2332361.

It is an arithmetic number, because the mean of its divisors is an integer number (206916444).

Almost surely, 29142159200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9142159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897983968).

9142159200 is an abundant number, since it is smaller than the sum of its proper divisors (20653808736).

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

9142159200 is a wasteful number, since it uses less digits than its factorization.

9142159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 9142159200 is about 95614.6390465393. The cubic root of 9142159200 is about 2090.9786248973.

The spelling of 9142159200 in words is "nine billion, one hundred forty-two million, one hundred fifty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 971 1200 1942 2400 2913 3884 3923 4855 5826 7768 7846 9710 11652 11769 14565 15536 15692 19420 19615 23304 23538 24275 29130 31072 31384 38840 39230 46608 47076 48550 58260 58845 62768 72825 77680 78460 93216 94152 97100 98075 116520 117690 125536 145650 155360 156920 188304 194200 196150 233040 235380 291300 294225 313840 376608 388400 392300 466080 470760 582600 588450 627680 776800 784600 941520 1165200 1176900 1569200 1883040 2330400 2353800 3138400 3809233 4707600 7618466 9415200 11427699 15236932 19046165 22855398 30473864 38092330 45710796 57138495 60947728 76184660 91421592 95230825 114276990 121895456 152369320 182843184 190461650 228553980 285692475 304738640 365686368 380923300 457107960 571384950 609477280 761846600 914215920 1142769900 1523693200 1828431840 2285539800 3047386400 4571079600 9142159200