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40334332334040 = 23335137272602949
BaseRepresentation
bin10010010101111000100011…
…00011010000111111011000
312021210220221222012022111000
421022330101203100333120
520241314203034142130
6221441200402305000
711332026233020413
oct1112742143207730
9167726858168430
1040334332334040
11119407700a8058
124635092358160
1319676851bc114
149d62991a8b7a
1549e2c6524260
hex24af118d0fd8

40334332334040 has 128 divisors (see below), whose sum is σ = 135429145560000. Its totient is φ = 10677312267264.

The previous prime is 40334332334039. The next prime is 40334332334059. The reversal of 40334332334040 is 4043323343304.

40334332334040 is a `hidden beast` number, since 4 + 0 + 3 + 343 + 3 + 233 + 40 + 40 = 666.

40334332334040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40334332333986 and 40334332334004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136153515 + ... + 136449434.

Almost surely, 240334332334040 is an apocalyptic number.

40334332334040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40334332334040 is an abundant number, since it is smaller than the sum of its proper divisors (95094813225960).

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

40334332334040 is a wasteful number, since it uses less digits than its factorization.

40334332334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272603106 (or 272603096 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 40334332334040 its reverse (4043323343304), we get a palindrome (44377655677344).

The spelling of 40334332334040 in words is "forty trillion, three hundred thirty-four billion, three hundred thirty-two million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 180 216 270 274 360 411 540 548 685 822 1080 1096 1233 1370 1644 2055 2466 2740 3288 3699 4110 4932 5480 6165 7398 8220 9864 12330 14796 16440 18495 24660 29592 36990 49320 73980 147960 272602949 545205898 817808847 1090411796 1363014745 1635617694 2180823592 2453426541 2726029490 3271235388 4089044235 4906853082 5452058980 6542470776 7360279623 8178088470 9813706164 10904117960 12267132705 14720559246 16356176940 19627412328 24534265410 29441118492 32712353880 36801398115 37346604013 49068530820 58882236984 73602796230 74693208026 98137061640 112039812039 147205592460 149386416052 186733020065 224079624078 294411184920 298772832104 336119436117 373466040130 448159248156 560199060195 672238872234 746932080260 896318496312 1008358308351 1120398120390 1344477744468 1493864160520 1680597180585 2016716616702 2240796240780 2688955488936 3361194361170 4033433233404 4481592481560 5041791541755 6722388722340 8066866466808 10083583083510 13444777444680 20167166167020 40334332334040