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40091347791040 = 2657131376763317
BaseRepresentation
bin10010001110110011111101…
…00010110010110011000000
312020221200202221220121011111
421013121332202302303000
520223324040013303130
6221133413320253104
711305334654335150
oct1107317642626300
9166850687817144
1040091347791040
1111857710715557
1245b5b7b311194
13194a7a06b8820
149c86083b8760
15497d0457902a
hex24767e8b2cc0

40091347791040 has 112 divisors (see below), whose sum is σ = 117498488611392. Its totient is φ = 12688250720256.

The previous prime is 40091347790999. The next prime is 40091347791071. The reversal of 40091347791040 is 4019774319004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688352539 + ... + 688410778.

It is an arithmetic number, because the mean of its divisors is an integer number (1049093648316).

Almost surely, 240091347791040 is an apocalyptic number.

40091347791040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40091347791040 is an abundant number, since it is smaller than the sum of its proper divisors (77407140820352).

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

40091347791040 is a wasteful number, since it uses less digits than its factorization.

40091347791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376763354 (or 1376763344 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 40091347791040 in words is "forty trillion, ninety-one billion, three hundred forty-seven million, seven hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 29120 1376763317 2753526634 5507053268 6883816585 9637343219 11014106536 13767633170 17897923121 19274686438 22028213072 27535266340 35795846242 38549372876 44056426144 48186716095 55070532680 71591692484 77098745752 88112852288 89489615605 96373432190 110141065360 125285461847 143183384968 154197491504 178979231210 192746864380 220282130720 250570923694 286366769936 308394983008 357958462420 385493728760 440564261440 501141847388 572733539872 616789966016 626427309235 715916924840 770987457520 1002283694776 1145467079744 1252854618470 1431833849680 1541974915040 2004567389552 2505709236940 2863667699360 3083949830080 4009134779104 5011418473880 5727335398720 8018269558208 10022836947760 20045673895520 40091347791040