Search a number
-
+
46401104340 = 2234528642657
BaseRepresentation
bin101011001101101110…
…001010100111010100
311102202202212022220000
4223031232022213110
51230012140314330
633152200411300
73231601610403
oct531556124724
9142682768800
1046401104340
1118751239518
128bab776b30
1344b6288476
14236278b63a
151318950560
hexacdb8a9d4

46401104340 has 60 divisors (see below), whose sum is σ = 145561987956. Its totient is φ = 12373627392.

The previous prime is 46401104303. The next prime is 46401104357. The reversal of 46401104340 is 4340110464.

46401104340 is a `hidden beast` number, since 4 + 640 + 1 + 10 + 4 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14427372996 + 31973731344 = 120114^2 + 178812^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14319709 + ... + 14322948.

Almost surely, 246401104340 is an apocalyptic number.

It is an amenable number.

46401104340 is an abundant number, since it is smaller than the sum of its proper divisors (99160883616).

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

46401104340 is a wasteful number, since it uses less digits than its factorization.

46401104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28642678 (or 28642667 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 46401104340 in words is "forty-six billion, four hundred one million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 28642657 57285314 85927971 114570628 143213285 171855942 257783913 286426570 343711884 429639855 515567826 572853140 773351739 859279710 1031135652 1288919565 1546703478 1718559420 2320055217 2577839130 3093406956 3866758695 4640110434 5155678260 7733517390 9280220868 11600276085 15467034780 23200552170 46401104340