Search a number
-
+
1200139218768 = 243729577213461
BaseRepresentation
bin10001011101101101110…
…111110010111101010000
311020201202202200011020010
4101131231313302331100
5124130341120000033
62315200352314520
7152464366020450
oct21355567627520
94221682604203
101200139218768
11422a81335226
12174718242a40
13892323b0589
1442130c07d60
152134203a863
hex1176ddf2f50

1200139218768 has 160 divisors (see below), whose sum is σ = 3671819631360. Its totient is φ = 330497556480.

The previous prime is 1200139218749. The next prime is 1200139218791. The reversal of 1200139218768 is 8678129310021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5515558 + ... + 5729018.

It is an arithmetic number, because the mean of its divisors is an integer number (22948872696).

Almost surely, 21200139218768 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 1200139218768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835909815680).

1200139218768 is an abundant number, since it is smaller than the sum of its proper divisors (2471680412592).

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

1200139218768 is a wasteful number, since it uses less digits than its factorization.

1200139218768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214085 (or 214079 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 1200139218768 in words is "one trillion, two hundred billion, one hundred thirty-nine million, two hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 577 609 696 812 1154 1218 1392 1624 1731 2308 2436 3248 3462 4039 4616 4872 6924 8078 9232 9744 12117 13848 16156 16733 24234 27696 32312 33466 48468 50199 64624 66932 96936 100398 117131 133864 193872 200796 213461 234262 267728 351393 401592 426922 468524 640383 702786 803184 853844 937048 1280766 1405572 1494227 1707688 1874096 2561532 2811144 2988454 3415376 4482681 5123064 5622288 5976908 6190369 8965362 10246128 11953816 12380738 17930724 18571107 23907632 24761476 35861448 37142214 43332583 49522952 71722896 74284428 86665166 99045904 123166997 129997749 148568856 173330332 246333994 259995498 297137712 346660664 369500991 492667988 519990996 693321328 739001982 862168979 985335976 1039981992 1478003964 1724337958 1970671952 2079963984 2586506937 2956007928 3448675916 3571842913 5173013874 5912015856 6897351832 7143685826 10346027748 10715528739 13794703664 14287371652 20692055496 21431057478 25002900391 28574743304 41384110992 42862114956 50005800782 57149486608 75008701173 85724229912 100011601564 150017402346 171448459824 200023203128 300034804692 400046406256 600069609384 1200139218768