Search a number
-
+
1346102144505 = 3254310122373079
BaseRepresentation
bin10011100101101001111…
…100001010110111111001
311202200112011200001022200
4103211221330022313321
5134023304122111010
62510220224340413
7166152444304056
oct23455174126771
94680464601280
101346102144505
11479973627768
12198a72a74709
1399c2445a3a1
144921a35402d
15250364becc0
hex13969f0adf9

1346102144505 has 96 divisors (see below), whose sum is σ = 2413005154560. Its totient is φ = 693746726400.

The previous prime is 1346102144357. The next prime is 1346102144507. The reversal of 1346102144505 is 5054412016431.

1346102144505 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 1 + 0 + 2 + 144 + 505 = 666.

It is not a de Polignac number, because 1346102144505 - 218 = 1346101882361 is a prime.

It is a super-4 number, since 4×13461021445054 (a number of 50 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1346102144505.

It is not an unprimeable number, because it can be changed into a prime (1346102144507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437186556 + ... + 437189634.

It is an arithmetic number, because the mean of its divisors is an integer number (25135470360).

Almost surely, 21346102144505 is an apocalyptic number.

1346102144505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1346102144505 is a deficient number, since it is larger than the sum of its proper divisors (1066903010055).

1346102144505 is a wasteful number, since it uses less digits than its factorization.

1346102144505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1346102144505 in words is "one trillion, three hundred forty-six billion, one hundred two million, one hundred forty-four thousand, five hundred five".

Divisors: 1 3 5 9 15 43 45 101 129 215 303 387 505 645 909 1515 1935 2237 3079 4343 4545 6711 9237 11185 13029 15395 20133 21715 27711 33555 39087 46185 65145 96191 100665 132397 138555 195435 225937 288573 310979 397191 480955 661985 677811 865719 932937 1129685 1191573 1442865 1554895 1985955 2033433 2798811 3389055 4328595 4664685 5957865 6887723 9715291 10167165 13372097 13994055 20663169 29145873 34438615 40116291 48576455 61989507 66860485 87437619 103315845 120348873 145729365 200581455 296172089 309947535 437188095 601744365 695660023 888516267 1480860445 2086980069 2665548801 3478300115 4442581335 6260940207 10434900345 13327744005 29913380989 31304701035 89740142967 149566904945 269220428901 448700714835 1346102144505