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40765939060 = 225721119199033
BaseRepresentation
bin100101111101110101…
…101101110101110100
310220020001022021100211
4211331311231311310
51131442040022220
630421055315204
72642134523200
oct457565556564
9126201267324
1040765939060
111631a345430
127a9851bb04
133ac896ac42
141d8a1cbb00
1510d8d81b5a
hex97dd6dd74

40765939060 has 144 divisors (see below), whose sum is σ = 114356975040. Its totient is φ = 12037455360.

The previous prime is 40765939057. The next prime is 40765939111. The reversal of 40765939060 is 6093956704.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 40765938995 and 40765939013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105304 + ... + 304336.

It is an arithmetic number, because the mean of its divisors is an integer number (794145660).

Almost surely, 240765939060 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 40765939060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57178487520).

40765939060 is an abundant number, since it is smaller than the sum of its proper divisors (73591035980).

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

40765939060 is a wasteful number, since it uses less digits than its factorization.

40765939060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199086 (or 199077 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The spelling of 40765939060 in words is "forty billion, seven hundred sixty-five million, nine hundred thirty-nine thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 49 55 70 76 77 95 98 110 133 140 154 190 196 209 220 245 266 308 380 385 418 490 532 539 665 770 836 931 980 1045 1078 1330 1463 1540 1862 2090 2156 2660 2695 2926 3724 4180 4655 5390 5852 7315 9310 10241 10780 14630 18620 20482 29260 40964 51205 102410 199033 204820 398066 796132 995165 1393231 1990330 2189363 2786462 3781627 3980660 4378726 5572924 6966155 7563254 8757452 9752617 10946815 13932310 15126508 15325541 18908135 19505234 21893630 26471389 27864620 30651082 37816270 39010468 41597897 43787260 48763085 52942778 61302164 75632540 76627705 83195794 97526170 105885556 107278787 132356945 153255410 166391588 185299723 195052340 207989485 214557574 264713890 291185279 306510820 370599446 415978970 429115148 529427780 536393935 582370558 741198892 831957940 926498615 1072787870 1164741116 1455926395 1852997230 2038296953 2145575740 2911852790 3705994460 4076593906 5823705580 8153187812 10191484765 20382969530 40765939060