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40141071300760 = 23517294121349391
BaseRepresentation
bin10010010000010000100100…
…10010111011100010011000
312021010110010021110121102121
421020020102102323202120
520230132403223111020
6221212315323511024
711312045111235613
oct1110102222734230
9167113107417377
1040141071300760
1111876807301341
124603737688474
13195239609c521
149caba40d517a
15499264a05baa
hex2482124bb898

40141071300760 has 128 divisors (see below), whose sum is σ = 98932195756800. Its totient is φ = 14590182154240.

The previous prime is 40141071300739. The next prime is 40141071300793. The reversal of 40141071300760 is 6700317014104.

It is a super-2 number, since 2×401410713007602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812695665 + ... + 812745055.

It is an arithmetic number, because the mean of its divisors is an integer number (772907779350).

Almost surely, 240141071300760 is an apocalyptic number.

40141071300760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40141071300760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49466097878400).

40141071300760 is an abundant number, since it is smaller than the sum of its proper divisors (58791124456040).

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

40141071300760 is a wasteful number, since it uses less digits than its factorization.

40141071300760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90661 (or 90657 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

Adding to 40141071300760 its reverse (6700317014104), we get a palindrome (46841388314864).

The spelling of 40141071300760 in words is "forty trillion, one hundred forty-one billion, seventy-one million, three hundred thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 19720 41213 49391 82426 98782 164852 197564 206065 246955 329704 395128 412130 493910 700621 824260 839647 987820 1195177 1401242 1432339 1648520 1679294 1975640 2390354 2802484 2864678 3358588 3503105 4198235 4780708 5604968 5729356 5975885 6717176 7006210 7161695 8396470 9561416 11458712 11951770 14012420 14323390 16792940 20318009 23903540 24349763 28024840 28646780 33585880 40636018 47807080 48699526 57293560 81272036 97399052 101590045 121748815 162544072 194798104 203180090 243497630 406360180 486995260 812720360 973990520 2035551283 4071102566 8142205132 10177756415 16284410264 20355512830 34604371811 40711025660 59030987207 69208743622 81422051320 118061974414 138417487244 173021859055 236123948828 276834974488 295154936035 346043718110 472247897656 590309872070 692087436220 1003526782519 1180619744140 1384174872440 2007053565038 2361239488280 4014107130076 5017633912595 8028214260152 10035267825190 20070535650380 40141071300760