Search a number
-
+
6143617440 = 253256169941
BaseRepresentation
bin1011011100011000…
…00010100110100000
3120212011022002202200
411232030002212200
5100040231224230
62453343013200
7305146613052
oct55614024640
916764262680
106143617440
112672a03794
12123559a200
1376ba717bc
14423d158d2
1525e556160
hex16e3029a0

6143617440 has 144 divisors (see below), whose sum is σ = 21309089256. Its totient is φ = 1611417600.

The previous prime is 6143617427. The next prime is 6143617457. The reversal of 6143617440 is 447163416.

6143617440 is a `hidden beast` number, since 614 + 36 + 1 + 7 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1823973264 + 4319644176 = 42708^2 + 65724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6143617395 and 6143617404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52870 + ... + 122810.

Almost surely, 26143617440 is an apocalyptic number.

6143617440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6143617440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654544628).

6143617440 is an abundant number, since it is smaller than the sum of its proper divisors (15165471816).

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

6143617440 is a wasteful number, since it uses less digits than its factorization.

6143617440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70023 (or 70012 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6143617440 is about 78381.2314269175. The cubic root of 6143617440 is about 1831.5047732442.

The spelling of 6143617440 in words is "six billion, one hundred forty-three million, six hundred seventeen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 4392 4880 5490 5856 7320 8784 9760 10980 14640 17568 21960 29280 43920 69941 87840 139882 209823 279764 349705 419646 559528 629469 699410 839292 1049115 1119056 1258938 1398820 1678584 2098230 2238112 2517876 2797640 3147345 3357168 4196460 4266401 5035752 5595280 6294690 6714336 8392920 8532802 10071504 11190560 12589380 12799203 16785840 17065604 20143008 21332005 25178760 25598406 33571680 34131208 38397609 42664010 50357520 51196812 63996015 68262416 76795218 85328020 100715040 102393624 127992030 136524832 153590436 170656040 191988045 204787248 255984060 307180872 341312080 383976090 409574496 511968120 614361744 682624160 767952180 1023936240 1228723488 1535904360 2047872480 3071808720 6143617440