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40012292921766 = 231123467437312907
BaseRepresentation
bin10010001100100000101101…
…00000011001100110100110
312020200010201111020010210020
421012100112200121212212
520221030133441444031
6221033221004140010
711266535630126544
oct1106202640314646
9166603644203706
1040012292921766
1111827133266150
1245a2797b37606
1319431b231c379
149c4868d86d94
15495c2904e096
hex2464168199a6

40012292921766 has 128 divisors (see below), whose sum is σ = 91318195777536. Its totient is φ = 11569388561280.

The previous prime is 40012292921753. The next prime is 40012292921827. The reversal of 40012292921766 is 66712929221004.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3100039485 + ... + 3100052391.

It is an arithmetic number, because the mean of its divisors is an integer number (713423404512).

Almost surely, 240012292921766 is an apocalyptic number.

40012292921766 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40012292921766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45659097888768).

40012292921766 is an abundant number, since it is smaller than the sum of its proper divisors (51305902855770).

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

40012292921766 is a wasteful number, since it uses less digits than its factorization.

40012292921766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17786.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 40012292921766 in words is "forty trillion, twelve billion, two hundred ninety-two million, nine hundred twenty-one thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 467 506 759 934 1401 1518 2802 4373 5137 8746 10274 10741 12907 13119 15411 21482 25814 26238 30822 32223 38721 48103 64446 77442 96206 100579 118151 141977 144309 201158 236302 283954 288618 296861 301737 354453 425931 593722 603474 708906 851862 890583 1106369 1781166 2042191 2212738 3265471 3319107 4084382 6027569 6126573 6530942 6638214 9796413 12055138 12253146 18082707 19592826 22464101 36165414 44928202 46970393 56442311 66303259 67392303 93940786 112884622 132606518 134784606 138634087 140911179 169326933 198909777 277268174 281822358 338653866 397819554 415902261 516674323 620865421 831804522 1033348646 1241730842 1298173153 1524974957 1550022969 1862596263 2596346306 3049949914 3100045938 3725192526 3894519459 4574924871 7789038918 9149849742 14279904683 26358559237 28559809366 42839714049 52717118474 79075677711 85679428098 158151355422 289944151607 579888303214 606246862451 869832454821 1212493724902 1739664909642 1818740587353 3637481174706 6668715486961 13337430973922 20006146460883 40012292921766