Search a number
-
+
740404402152345 = 325710721967197809
BaseRepresentation
bin1010100001011001001101010…
…1011000010110001110011001
310121002112222011211010121001200
42220112103111120112032121
51234021241203422333340
611142413030421104413
7311645311210201530
oct25026232530261631
93532488154117050
10740404402152345
111a4a0881a791817
126b05b400258109
1325a19ab2893218
14d0b9a9b237317
155a8e93e7b4330
hex2a164d5616399

740404402152345 has 48 divisors (see below), whose sum is σ = 1480413394811520. Its totient is φ = 335307307341312.

The previous prime is 740404402152343. The next prime is 740404402152361. The reversal of 740404402152345 is 543251204404047.

740404402152345 is a `hidden beast` number, since 7 + 4 + 0 + 4 + 0 + 4 + 402 + 1 + 5 + 234 + 5 = 666.

It is not a de Polignac number, because 740404402152345 - 21 = 740404402152343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 740404402152345.

It is not an unprimeable number, because it can be changed into a prime (740404402152343) by changing a digit.

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, 10983565200 + ... + 10983632609.

It is an arithmetic number, because the mean of its divisors is an integer number (30841945725240).

Almost surely, 2740404402152345 is an apocalyptic number.

It is an amenable number.

740404402152345 is a deficient number, since it is larger than the sum of its proper divisors (740008992659175).

740404402152345 is a wasteful number, since it uses less digits than its factorization.

740404402152345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21967197934 (or 21967197931 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 740404402152345 in words is "seven hundred forty trillion, four hundred four billion, four hundred two million, one hundred fifty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 107 315 321 535 749 963 1605 2247 3745 4815 6741 11235 33705 21967197809 65901593427 109835989045 153770384663 197704780281 329507967135 461311153989 768851923315 988523901405 1383933461967 2306555769945 2350490165563 6919667309835 7051470496689 11752450827815 16453431158941 21154411490067 35257352483445 49360293476823 82267155794705 105772057450335 148080880430469 246801467384115 740404402152345