Search a number
-
+
114112402256004 = 22337735431648257
BaseRepresentation
bin11001111100100011011101…
…001100110111000010000100
3112222001001001111220201010220
4121330203131030313002010
5104424104144434143004
61042410303000144340
733015230464114155
oct3174433514670204
9488031044821126
10114112402256004
11333a5886195409
121096b8b87680b0
134b899a4192539
1420270d950d92c
15d2d4d3634dd9
hex67c8dd337084

114112402256004 has 96 divisors (see below), whose sum is σ = 277256025935616. Its totient is φ = 36495671869440.

The previous prime is 114112402255979. The next prime is 114112402256059. The reversal of 114112402256004 is 400652204211411.

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, 175705444 + ... + 176353700.

It is an arithmetic number, because the mean of its divisors is an integer number (2888083603496).

Almost surely, 2114112402256004 is an apocalyptic number.

It is an amenable number.

114112402256004 is an abundant number, since it is smaller than the sum of its proper divisors (163143623679612).

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

114112402256004 is a wasteful number, since it uses less digits than its factorization.

114112402256004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653805 (or 653803 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 114112402256004 its reverse (400652204211411), we get a palindrome (514764606467415).

The spelling of 114112402256004 in words is "one hundred fourteen trillion, one hundred twelve billion, four hundred two million, two hundred fifty-six thousand, four".

Divisors: 1 2 3 4 6 12 37 73 74 111 146 148 219 222 292 438 444 876 2701 5402 5431 8103 10804 10862 16206 16293 21724 32412 32586 65172 200947 396463 401894 602841 648257 792926 803788 1189389 1205682 1296514 1585852 1944771 2378778 2411364 2593028 3889542 4757556 7779084 14669131 23985509 29338262 44007393 47322761 47971018 58676524 71956527 88014786 94645522 95942036 141968283 143913054 176029572 189291044 283936566 287826108 567873132 1750942157 3501884314 3520683767 5252826471 7003768628 7041367534 10505652942 10562051301 14082735068 21011305884 21124102602 42248205204 130265299379 257009914991 260530598758 390795898137 514019829982 521061197516 771029744973 781591796274 1028039659964 1542059489946 1563183592548 3084118979892 9509366854667 19018733709334 28528100564001 38037467418668 57056201128002 114112402256004