Search a number
-
+
114140120341440 = 2635291107408427
BaseRepresentation
bin11001111100111101010001…
…010100111101101111000000
3112222010200121020101100012210
4121330331101110331233000
5104430032431301411230
61042431125235022120
733020231405004654
oct3174752124755700
9488120536340183
10114140120341440
113340660a340236
121097515343a940
134b8c4a087531b
1420285a8876a64
15d2e0a6c60eb0
hex67cf5153dbc0

114140120341440 has 112 divisors (see below), whose sum is σ = 362397014266752. Its totient is φ = 30437186343936.

The previous prime is 114140120341411. The next prime is 114140120341451. The reversal of 114140120341440 is 44143021041411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114140120341398 and 114140120341407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279258507 + ... + 279666933.

Almost surely, 2114140120341440 is an apocalyptic number.

114140120341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114140120341440 is an abundant number, since it is smaller than the sum of its proper divisors (248256893925312).

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

114140120341440 is a wasteful number, since it uses less digits than its factorization.

114140120341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699554 (or 699544 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 114140120341440 its reverse (44143021041411), we get a palindrome (158283141382851).

The spelling of 114140120341440 in words is "one hundred fourteen trillion, one hundred forty billion, one hundred twenty million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 291107 408427 582214 816854 873321 1164428 1225281 1455535 1633708 1746642 2042135 2328856 2450562 2911070 3267416 3493284 4084270 4366605 4657712 4901124 5822140 6126405 6534832 6986568 8168540 8733210 9315424 9802248 11644280 12252810 13069664 13973136 16337080 17466420 18630848 19604496 23288560 24505620 26139328 27946272 32674160 34932840 39208992 46577120 49011240 55892544 65348320 69865680 78417984 93154240 98022480 130696640 139731360 196044960 279462720 392089920 118895958689 237791917378 356687876067 475583834756 594479793445 713375752134 951167669512 1188959586890 1426751504268 1783439380335 1902335339024 2377919173780 2853503008536 3566878760670 3804670678048 4755838347560 5707006017072 7133757521340 7609341356096 9511676695120 11414012034144 14267515042680 19023353390240 22828024068288 28535030085360 38046706780480 57070060170720 114140120341440