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45243417240 = 2333575984579
BaseRepresentation
bin101010001000101101…
…111100001010011000
311022210002110201202000
4222020231330022120
51220124303322430
632441243241000
73161113462350
oct521055741230
9138702421660
1045243417240
111820780301a
128927b19160
13436048a508
142292b13b60
15129bec1e60
hexa88b7c298

45243417240 has 128 divisors (see below), whose sum is σ = 172355904000. Its totient is φ = 10341350784.

The previous prime is 45243417229. The next prime is 45243417269. The reversal of 45243417240 is 4271434254.

45243417240 is a `hidden beast` number, since 4 + 52 + 434 + 172 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45243417195 and 45243417204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2984730 + ... + 2999849.

It is an arithmetic number, because the mean of its divisors is an integer number (1346530500).

Almost surely, 245243417240 is an apocalyptic number.

45243417240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45243417240 is an abundant number, since it is smaller than the sum of its proper divisors (127112486760).

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

45243417240 is a wasteful number, since it uses less digits than its factorization.

45243417240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984606 (or 5984596 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 45243417240 in words is "forty-five billion, two hundred forty-three million, four hundred seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 5984579 11969158 17953737 23938316 29922895 35907474 41892053 47876632 53861211 59845790 71814948 83784106 89768685 107722422 119691580 125676159 143629896 161583633 167568212 179537370 209460265 215444844 239383160 251352318 269306055 323167266 335136424 359074740 377028477 418920530 430889688 502704636 538612110 628380795 646334532 718149480 754056954 807918165 837841060 1005409272 1077224220 1131085431 1256761590 1292669064 1508113908 1615836330 1675682120 1885142385 2154448440 2262170862 2513523180 3016227816 3231672660 3770284770 4524341724 5027046360 5655427155 6463345320 7540569540 9048683448 11310854310 15081139080 22621708620 45243417240