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40936323422500 = 2254112116332
BaseRepresentation
bin10010100111011001110110…
…00001000001100100100100
312100221110210202122010212021
421103230323001001210210
520331200042244010000
6223021515400432524
711423360153603152
oct1123547301014444
9170843722563767
1040936323422500
1112052aa7400900
124711897a78744
1319ac3814c367c
14a17485a683d2
154aecab09411a
hex253b3b041924

40936323422500 has 135 divisors (see below), whose sum is σ = 98405983374853. Its totient is φ = 14884656160000.

The previous prime is 40936323422459. The next prime is 40936323422521. The reversal of 40936323422500 is 522432363904.

The square root of 40936323422500 is 6398150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 24568537835556 + 16367785586944 = 4956666^2 + 4045712^2 .

It is a super-2 number, since 2×409363234225002 (a number of 28 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 3518976684 + ... + 3518988316.

Almost surely, 240936323422500 is an apocalyptic number.

40936323422500 is the 6398150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40936323422500

40936323422500 is an abundant number, since it is smaller than the sum of its proper divisors (57469659952353).

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

40936323422500 is an frugal number, since it uses more digits than its factorization.

40936323422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 43.

The spelling of 40936323422500 in words is "forty trillion, nine hundred thirty-six billion, three hundred twenty-three million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 484 500 550 605 625 1100 1210 1250 1375 2420 2500 2750 3025 5500 6050 6875 11633 12100 13750 15125 23266 27500 30250 46532 58165 60500 75625 116330 127963 151250 232660 255926 290825 302500 511852 581650 639815 1163300 1279630 1407593 1454125 2559260 2815186 2908250 3199075 5630372 5816500 6398150 7037965 7270625 12796300 14075930 14541250 15995375 28151860 29082500 31990750 35189825 63981500 70379650 79976875 135326689 140759300 159953750 175949125 270653378 319907500 351898250 541306756 676633445 703796500 879745625 1353266890 1488593579 1759491250 2706533780 2977187158 3383167225 3518982500 5954374316 6766334450 7442967895 13532668900 14885935790 16374529369 16915836125 29771871580 32749058738 33831672250 37214839475 65498117476 67663344500 74429678950 81872646845 84579180625 148859357900 163745293690 169158361250 186074197375 327490587380 338316722500 372148394750 409363234225 744296789500 818726468450 930370986875 1637452936900 1860741973750 2046816171125 3721483947500 4093632342250 8187264684500 10234080855625 20468161711250 40936323422500