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41321245248 = 263271738273
BaseRepresentation
bin100110011110111100…
…000010101001000000
310221122202012202020200
4212132330002221000
51134111214321443
630552133405200
72661656534523
oct463674025100
9127582182220
1041321245248
1116584847168
128012499800
133b86a1869a
141dddc5cbba
15111c9c1dd3
hex99ef02a40

41321245248 has 42 divisors (see below), whose sum is σ = 118439890374. Its totient is φ = 13773748224.

The previous prime is 41321245247. The next prime is 41321245249. The reversal of 41321245248 is 84254212314.

41321245248 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 124 + 524 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41321245247) and next prime (41321245249).

It can be written as a sum of positive squares in only one way, i.e., 36057452544 + 5263792704 = 189888^2 + 72552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41321245247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35868561 + ... + 35869712.

Almost surely, 241321245248 is an apocalyptic number.

41321245248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41321245248 is an abundant number, since it is smaller than the sum of its proper divisors (77118645126).

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

41321245248 is a wasteful number, since it uses less digits than its factorization.

41321245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71738291 (or 71738278 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 41321245248 in words is "forty-one billion, three hundred twenty-one million, two hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 71738273 143476546 215214819 286953092 430429638 573906184 645644457 860859276 1147812368 1291288914 1721718552 2295624736 2582577828 3443437104 4591249472 5165155656 6886874208 10330311312 13773748416 20660622624 41321245248