Search a number
-
+
41282834688 = 283223779039
BaseRepresentation
bin100110011100101001…
…100001000100000000
310221120001221021212100
4212130221201010000
51134021401202223
630544242230400
72661012206424
oct463451410400
9127501837770
1041282834688
11165650a17a7
128001655400
133b7ba8a444
141dd8b00b84
151119436043
hex99ca61100

41282834688 has 108 divisors (see below), whose sum is σ = 124203905280. Its totient is φ = 13162626048.

The previous prime is 41282834683. The next prime is 41282834707. The reversal of 41282834688 is 88643828214.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41282834683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336528 + ... + 442511.

It is an arithmetic number, because the mean of its divisors is an integer number (1150036160).

Almost surely, 241282834688 is an apocalyptic number.

41282834688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41282834688 is an abundant number, since it is smaller than the sum of its proper divisors (82921070592).

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

41282834688 is a wasteful number, since it uses less digits than its factorization.

41282834688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779084 (or 779067 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 41282834688 in words is "forty-one billion, two hundred eighty-two million, eight hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 8832 13248 17664 26496 52992 779039 1558078 2337117 3116156 4674234 6232312 7011351 9348468 12464624 14022702 17917897 18696936 24929248 28045404 35835794 37393872 49858496 53753691 56090808 71671588 74787744 99716992 107507382 112181616 143343176 149575488 161261073 199433984 215014764 224363232 286686352 299150976 322522146 430029528 448726464 573372704 598301952 645044292 860059056 897452928 1146745408 1290088584 1720118112 1794905856 2293490816 2580177168 3440236224 4586981632 5160354336 6880472448 10320708672 13760944896 20641417344 41282834688