Search a number
-
+
4019868299940 = 2235791381614101
BaseRepresentation
bin111010011111110010110…
…100100111001010100100
3112020021222112101220122220
4322133302310213022210
51011330142241044230
612314411344352340
7563266040525613
oct72376264471244
915207875356586
104019868299940
11130a8a8948469
1254b0b19156b0
132320c2110b2c
14dc7c3d4187a
156e8753add10
hex3a7f2d272a4

4019868299940 has 96 divisors (see below), whose sum is σ = 11406379676160. Its totient is φ = 1057627584000.

The previous prime is 4019868299933. The next prime is 4019868299957. The reversal of 4019868299940 is 499928689104.

It is a super-2 number, since 2×40198682999402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6238890 + ... + 6852990.

It is an arithmetic number, because the mean of its divisors is an integer number (118816454960).

Almost surely, 24019868299940 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 4019868299940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703189838080).

4019868299940 is an abundant number, since it is smaller than the sum of its proper divisors (7386511376220).

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

4019868299940 is a wasteful number, since it uses less digits than its factorization.

4019868299940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615573 (or 615571 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 69.

The spelling of 4019868299940 in words is "four trillion, nineteen billion, eight hundred sixty-eight million, two hundred ninety-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1381 1580 2370 2762 4143 4740 5524 6905 8286 13810 16572 20715 27620 41430 82860 109099 218198 327297 436396 545495 614101 654594 1090990 1228202 1309188 1636485 1842303 2181980 2456404 3070505 3272970 3684606 6141010 6545940 7369212 9211515 12282020 18423030 36846060 48513979 97027958 145541937 194055916 242569895 291083874 485139790 582167748 727709685 848073481 970279580 1455419370 1696146962 2544220443 2910838740 3392293924 4240367405 5088440886 8480734810 10176881772 12721102215 16961469620 25442204430 50884408860 66997804999 133995609998 200993414997 267991219996 334989024995 401986829994 669978049990 803973659988 1004967074985 1339956099980 2009934149970 4019868299940