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505106032042144 = 251310491157480641
BaseRepresentation
bin111001011011001000010100…
…1100111010010000010100000
32110020102122221211200121022201
41302312100221213102002200
51012201124123200322034
64550134301400542544
7211251464226256201
oct16266205147220240
92406378854617281
10505106032042144
11136a402a1000a25
1248798b24181a54
13188ac3a9b71aa0
148ca33960135a8
153d5de78bc1014
hex1cb64299d20a0

505106032042144 has 48 divisors (see below), whose sum is σ = 1071942822556200. Its totient is φ = 232903624458240.

The previous prime is 505106032042121. The next prime is 505106032042189. The reversal of 505106032042144 is 441240230601505.

It can be written as a sum of positive squares in 4 ways, for example, as 500435333049744 + 4670698992400 = 22370412^2 + 2161180^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578303937 + ... + 579176704.

Almost surely, 2505106032042144 is an apocalyptic number.

It is an amenable number.

505106032042144 is an abundant number, since it is smaller than the sum of its proper divisors (566836790514056).

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

505106032042144 is a wasteful number, since it uses less digits than its factorization.

505106032042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157481713 (or 1157481705 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 505106032042144 its reverse (441240230601505), we get a palindrome (946346262643649).

The spelling of 505106032042144 in words is "five hundred five trillion, one hundred six billion, thirty-two million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1049 2098 4196 8392 13637 16784 27274 33568 54548 109096 218192 436384 1157480641 2314961282 4629922564 9259845128 15047248333 18519690256 30094496666 37039380512 60188993332 120377986664 240755973328 481511946656 1214197192409 2428394384818 4856788769636 9713577539272 15784563501317 19427155078544 31569127002634 38854310157088 63138254005268 126276508010536 252553016021072 505106032042144