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40321322332020 = 223251970116818631
BaseRepresentation
bin10010010101100000010100…
…00110000010111101110100
312021202200101021120201211100
421022300022012002331310
520241111032004111040
6221431205413010100
711331055645564362
oct1112601206027564
9167680337521740
1040321322332020
11119361a4310a74
124632661323930
131966390a27982
149d57c3398632
1549dcb4298b30
hex24ac0a182f74

40321322332020 has 144 divisors (see below), whose sum is σ = 128928941930880. Its totient is φ = 10171907424000.

The previous prime is 40321322331977. The next prime is 40321322332087. The reversal of 40321322332020 is 2023322312304.

40321322332020 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 1 + 322 + 332 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×403213223320202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6011896 + ... + 10806735.

It is an arithmetic number, because the mean of its divisors is an integer number (895339874520).

Almost surely, 240321322332020 is an apocalyptic number.

It is an amenable number.

40321322332020 is an abundant number, since it is smaller than the sum of its proper divisors (88607619598860).

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

40321322332020 is a wasteful number, since it uses less digits than its factorization.

40321322332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16819366 (or 16819361 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 40321322332020 its reverse (2023322312304), we get a palindrome (42344644644324).

The spelling of 40321322332020 in words is "forty trillion, three hundred twenty-one billion, three hundred twenty-two million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 701 855 1140 1402 1710 2103 2804 3420 3505 4206 6309 7010 8412 10515 12618 13319 14020 21030 25236 26638 31545 39957 42060 53276 63090 66595 79914 119871 126180 133190 159828 199785 239742 266380 399570 479484 599355 799140 1198710 2397420 16818631 33637262 50455893 67274524 84093155 100911786 151367679 168186310 201823572 252279465 302735358 319553989 336372620 504558930 605470716 639107978 756838395 958661967 1009117860 1278215956 1513676790 1597769945 1917323934 2875985901 3027353580 3195539890 3834647868 4793309835 5751971802 6391079780 9586619670 11503943604 11789860331 14379929505 19173239340 23579720662 28759859010 35369580993 47159441324 57519718020 58949301655 70739161986 106108742979 117898603310 141478323972 176847904965 212217485958 224007346289 235797206620 353695809930 424434971916 448014692578 530543714895 672022038867 707391619860 896029385156 1061087429790 1120036731445 1344044077734 2016066116601 2122174859580 2240073462890 2688088155468 3360110194335 4032132233202 4480146925780 6720220388670 8064264466404 10080330583005 13440440777340 20160661166010 40321322332020