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40105052240 = 24511172680819
BaseRepresentation
bin100101010110011100…
…101000100001010000
310211111222201202002012
4211112130220201100
51124113343132430
630231330242052
72616561214361
oct452634504120
9124458652065
1040105052240
1116010290380
127933126328
133a21a74856
141d26515b68
15109ad38695
hex956728850

40105052240 has 80 divisors (see below), whose sum is σ = 107704624320. Its totient is φ = 13725788160.

The previous prime is 40105052227. The next prime is 40105052243. The reversal of 40105052240 is 4225050104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40105052243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1325450 + ... + 1355369.

It is an arithmetic number, because the mean of its divisors is an integer number (1346307804).

Almost surely, 240105052240 is an apocalyptic number.

40105052240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40105052240 is an abundant number, since it is smaller than the sum of its proper divisors (67599572080).

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

40105052240 is a wasteful number, since it uses less digits than its factorization.

40105052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680860 (or 2680854 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The spelling of 40105052240 in words is "forty billion, one hundred five million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 2680819 5361638 10723276 13404095 21446552 26808190 29489009 42893104 45573923 53616380 58978018 91147846 107232760 117956036 147445045 182295692 214465520 227869615 235912072 294890090 364591384 455739230 471824144 501313153 589780180 729182768 911478460 1002626306 1179560360 1822956920 2005252612 2359120720 2506565765 3645913840 4010505224 5013131530 8021010448 10026263060 20052526120 40105052240