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1040021232341 = 721323143711327
BaseRepresentation
bin11110010001001100001…
…10001001101011010101
310200102110212102200021112
433020212012021223111
5114014430413413331
62113440144224405
7135065460420500
oct17104606115325
93612425380245
101040021232341
11371085966123
1214969100b105
13770c5873400
14384a1780137
151c0c004432b
hexf226189ad5

1040021232341 has 144 divisors (see below), whose sum is σ = 1404297658368. Its totient is φ = 766277366400.

The previous prime is 1040021232331. The next prime is 1040021232359. The reversal of 1040021232341 is 1432321200401.

It is not a de Polignac number, because 1040021232341 - 214 = 1040021215957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040021232301) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 783738020 + ... + 783739346.

It is an arithmetic number, because the mean of its divisors is an integer number (9752067072).

Almost surely, 21040021232341 is an apocalyptic number.

It is an amenable number.

1040021232341 is a deficient number, since it is larger than the sum of its proper divisors (364276426027).

1040021232341 is a wasteful number, since it uses less digits than its factorization.

1040021232341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1040021232341 its reverse (1432321200401), we get a palindrome (2472342432742).

The spelling of 1040021232341 in words is "one trillion, forty billion, twenty-one million, two hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 7 13 31 43 49 71 91 169 217 301 403 497 559 637 923 1183 1327 1333 1519 2107 2201 2821 3053 3479 3913 5239 6461 7267 8281 9289 9331 11999 15407 17251 17329 19747 21371 27391 28613 36673 39689 41137 45227 50869 57061 65023 65317 83993 94217 94643 107849 120757 121303 149597 200291 224263 225277 256711 277823 287959 356083 371969 399427 515957 534781 587951 659519 662501 741793 845299 849121 1224821 1230359 1402037 1569841 1576939 1768891 1944761 2015713 2603783 2795989 2920727 3611699 3743467 4051331 4616633 4637507 5192551 6952153 8573747 8612513 9643309 10988887 11038573 12382237 15922673 15994667 18226481 20445089 22995583 25281893 26204269 28359317 36347857 37969451 48665071 52667303 60016229 60287591 67503163 86675659 111458711 111962669 125591261 143115623 160969081 198515219 265786157 298942579 340655497 368671121 472522141 493602863 684674939 780210977 783738683 879138827 1126783567 1632686393 1860503099 2092598053 2580697847 3455220041 4792724573 6153971789 11428804751 14648186371 21224923109 24186540287 33549072011 80001633257 148574461763 1040021232341