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40707260553700 = 2252131011069290021
BaseRepresentation
bin10010100000101111001011…
…10011100001100111100100
312100010120112222102202022201
421100113211303201213210
520313421432200204300
6222324353552304244
711401000602415216
oct1120274563414744
9170116488382281
1040707260553700
1111a7494138a174
12469540b242084
1319938a8006910
14a0a355ba25b6
154a8d5140966a
hex2505e5ce19e4

40707260553700 has 144 divisors (see below), whose sum is σ = 96161817281040. Its totient is φ = 14867585280000.

The previous prime is 40707260553671. The next prime is 40707260553709. The reversal of 40707260553700 is 735506270704.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 19899503904996 + 20807756648704 = 4460886^2 + 4561552^2 .

It is not an unprimeable number, because it can be changed into a prime (40707260553709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140214690 + ... + 140504710.

It is an arithmetic number, because the mean of its divisors is an integer number (667790397785).

Almost surely, 240707260553700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40707260553700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48080908640520).

40707260553700 is an abundant number, since it is smaller than the sum of its proper divisors (55454556727340).

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

40707260553700 is a wasteful number, since it uses less digits than its factorization.

40707260553700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291218 (or 291211 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 46.

The spelling of 40707260553700 in words is "forty trillion, seven hundred seven billion, two hundred sixty million, five hundred fifty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 1010 1069 1300 1313 2020 2138 2525 2626 4276 5050 5252 5345 6565 10100 10690 13130 13897 21380 26260 26725 27794 32825 53450 55588 65650 69485 106900 107969 131300 138970 215938 277940 290021 347425 431876 539845 580042 694850 1079690 1160084 1389700 1403597 1450105 2159380 2699225 2807194 2900210 3770273 5398450 5614388 5800420 7017985 7250525 7540546 10796900 14035970 14501050 15081092 18851365 28071940 29002100 29292121 35089925 37702730 58584242 70179850 75405460 94256825 117168484 140359700 146460605 188513650 292921210 310032449 377027300 380797573 585842420 620064898 732303025 761595146 1240129796 1464606050 1523190292 1550162245 1903987865 2929212100 3100324490 3807975730 4030421837 6200648980 7615951460 7750811225 8060843674 9519939325 15501622450 16121687348 19039878650 20152109185 31003244900 31313277349 38079757300 40304218370 62626554698 80608436740 100760545925 125253109396 156566386745 201521091850 313132773490 403042183700 407072605537 626265546980 782831933725 814145211074 1565663867450 1628290422148 2035363027685 3131327734900 4070726055370 8141452110740 10176815138425 20353630276850 40707260553700