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40205012040 = 2333543865741
BaseRepresentation
bin100101011100011001…
…111100110001001000
310211202221211020011000
4211130121330301020
51124314440341130
630245300535000
72622213651354
oct453431746110
9124687736130
1040205012040
1116061754686
1279606b1460
133a396a2c6b
141d358d6464
1510a49d1260
hex95c67cc48

40205012040 has 128 divisors (see below), whose sum is σ = 137133532800. Its totient is φ = 10471991040.

The previous prime is 40205012033. The next prime is 40205012077. The reversal of 40205012040 is 4021050204.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 386431 + ... + 479310.

It is an arithmetic number, because the mean of its divisors is an integer number (1071355725).

Almost surely, 240205012040 is an apocalyptic number.

40205012040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40205012040 is an abundant number, since it is smaller than the sum of its proper divisors (96928520760).

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

40205012040 is a wasteful number, since it uses less digits than its factorization.

40205012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865804 (or 865794 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 40205012040 its reverse (4021050204), we get a palindrome (44226062244).

The spelling of 40205012040 in words is "forty billion, two hundred five million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1935 2322 2580 3096 3870 4644 5160 5805 7740 9288 11610 15480 23220 46440 865741 1731482 2597223 3462964 4328705 5194446 6925928 7791669 8657410 10388892 12986115 15583338 17314820 20777784 23375007 25972230 31166676 34629640 37226863 38958345 46750014 51944460 62333352 74453726 77916690 93500028 103888920 111680589 116875035 148907452 155833380 186134315 187000056 223361178 233750070 297814904 311666760 335041767 372268630 446722356 467500140 558402945 670083534 744537260 893444712 935000280 1005125301 1116805890 1340167068 1489074520 1675208835 2010250602 2233611780 2680334136 3350417670 4020501204 4467223560 5025626505 6700835340 8041002408 10051253010 13401670680 20102506020 40205012040