Search a number
-
+
144968938200 = 233252174737547
BaseRepresentation
bin1000011100000011010…
…0100111001011011000
3111212012010122002112100
42013000310213023120
54333344022010300
6150333043243400
713321315433412
oct2070064471330
9455163562470
10144968938200
1156532205a39
1224119979560
1310894166508
1470335259b2
153b8708e700
hex21c0d272d8

144968938200 has 144 divisors (see below), whose sum is σ = 515492597880. Its totient is φ = 36384353280.

The previous prime is 144968938159. The next prime is 144968938333. The reversal of 144968938200 is 2839869441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2338174 + ... + 2399373.

Almost surely, 2144968938200 is an apocalyptic number.

144968938200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144968938200 is an abundant number, since it is smaller than the sum of its proper divisors (370523659680).

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

144968938200 is a wasteful number, since it uses less digits than its factorization.

144968938200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737586 (or 4737574 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 144968938200 in words is "one hundred forty-four billion, nine hundred sixty-eight million, nine hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2550 3060 3400 3825 5100 6120 7650 10200 15300 30600 4737547 9475094 14212641 18950188 23687735 28425282 37900376 42637923 47375470 56850564 71063205 80538299 85275846 94750940 113701128 118438675 142126410 161076598 170551692 189501880 213189615 236877350 241614897 284252820 322153196 341103384 355316025 402691495 426379230 473754700 483229794 568505640 644306392 710632050 724844691 805382990 852758460 947509400 966459588 1065948075 1208074485 1421264100 1449689382 1610765980 1705516920 1932919176 2013457475 2131896150 2416148970 2842528200 2899378764 3221531960 3624223455 4026914950 4263792300 4832297940 5798757528 6040372425 7248446910 8053829900 8527584600 9664595880 12080744850 14496893820 16107659800 18121117275 24161489700 28993787640 36242234550 48322979400 72484469100 144968938200