Search a number
-
+
4030165544300 = 2252743290946027
BaseRepresentation
bin111010101001011000100…
…101011110110101101100
3112021021120011111010101122
4322221120211132311230
51012012234334404200
612323233230200112
7564112154622320
oct72513045366554
915237504433348
104030165544300
111314202424575
125510a6353038
13233073572a2c
14dd0bd75b980
156ec793d4385
hex3aa5895ed6c

4030165544300 has 144 divisors (see below), whose sum is σ = 10230986008320. Its totient is φ = 1349143568640.

The previous prime is 4030165544299. The next prime is 4030165544347. The reversal of 4030165544300 is 34455610304.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 87537887 + ... + 87583913.

Almost surely, 24030165544300 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 4030165544300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115493004160).

4030165544300 is an abundant number, since it is smaller than the sum of its proper divisors (6200820464020).

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

4030165544300 is a wasteful number, since it uses less digits than its factorization.

4030165544300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49000 (or 48993 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 4030165544300 in words is "four trillion, thirty billion, one hundred sixty-five million, five hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 2909 3010 4300 5818 6020 7525 11636 14545 15050 20363 29090 30100 40726 46027 58180 72725 81452 92054 101815 125087 145450 184108 203630 230135 250174 290900 322189 407260 460270 500348 509075 625435 644378 875609 920540 1018150 1150675 1250870 1288756 1610945 1751218 1979161 2036300 2301350 2501740 3127175 3221890 3502436 3958322 4378045 4602700 6254350 6443780 7916644 8054725 8756090 9895805 12508700 13854127 16109450 17512180 19791610 21890225 27708254 32218900 39583220 43780450 49479025 55416508 69270635 87560900 98958050 133892543 138541270 197916100 267785086 277082540 346353175 535570172 669462715 692706350 937247801 1338925430 1385412700 1874495602 2677850860 3347313575 3748991204 4686239005 5757379349 6694627150 9372478010 11514758698 13389254300 18744956020 23029517396 23431195025 28786896745 40301655443 46862390050 57573793490 80603310886 93724780100 115147586980 143934483725 161206621772 201508277215 287868967450 403016554430 575737934900 806033108860 1007541386075 2015082772150 4030165544300