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241242320542040 = 235197433181139041
BaseRepresentation
bin110110110110100010011010…
…110100100001100101011000
31011122011112121002211110121022
4312312202122310201211120
5223110003233024321130
62213025105254302012
7101546116410634016
oct6666423264414530
91148145532743538
10241242320542040
116a95a325854094
1223082465057908
13a47c08cbaba9c
14438029508d8b6
151cd53ee05b7e5
hexdb689ad21958

241242320542040 has 128 divisors (see below), whose sum is σ = 547126411043520. Its totient is φ = 95730027724800.

The previous prime is 241242320542033. The next prime is 241242320542043. The reversal of 241242320542040 is 40245023242142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241242320542043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6179184920 + ... + 6179223960.

Almost surely, 2241242320542040 is an apocalyptic number.

241242320542040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241242320542040 is an abundant number, since it is smaller than the sum of its proper divisors (305884090501480).

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

241242320542040 is a wasteful number, since it uses less digits than its factorization.

241242320542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41493 (or 41489 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 241242320542040 its reverse (40245023242142), we get a palindrome (281487343784182).

The spelling of 241242320542040 in words is "two hundred forty-one trillion, two hundred forty-two billion, three hundred twenty million, five hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 197 394 433 788 866 985 1576 1732 1811 1970 2165 3464 3622 3940 4330 7244 7880 8660 9055 14488 17320 18110 36220 39041 72440 78082 85301 156164 170602 195205 312328 341204 356767 390410 426505 682408 713534 780820 784163 853010 1427068 1561640 1568326 1706020 1783835 2854136 3136652 3412040 3567670 3920815 6273304 7135340 7691077 7841630 14270680 15382154 15683260 16904753 30764308 31366520 33809506 38455385 61528616 67619012 70703251 76910770 84523765 135238024 141406502 153821540 154480111 169047530 282813004 307643080 308960222 338095060 353516255 565626008 617920444 676190120 707032510 772400555 1235840888 1414065020 1544801110 2828130040 3089602220 3330236341 6179204440 6660472682 13320945364 13928540447 16651181705 26641890728 27857080894 30614507683 33302363410 55714161788 61229015366 66604726820 69642702235 111428323576 122458030732 133209453640 139285404470 153072538415 244916061464 278570808940 306145076830 557141617880 612290153660 1224580307320 6031058013551 12062116027102 24124232054204 30155290067755 48248464108408 60310580135510 120621160271020 241242320542040