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1316624421231 = 3371071311633049
BaseRepresentation
bin10011001010001100111…
…011100101000101101111
311122212102211010112221000
4103022030323211011233
5133032421322434411
62444503210411343
7164060115632640
oct23121473450557
94585384115830
101316624421231
11468417185999
12193206a30b53
1397207349b92
1447a2141d6c7
15243ad65e956
hex1328cee516f

1316624421231 has 128 divisors (see below), whose sum is σ = 2281872384000. Its totient is φ = 734857194240.

The previous prime is 1316624421227. The next prime is 1316624421257. The reversal of 1316624421231 is 1321244266131.

1316624421231 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 624 + 4 + 2 + 1 + 23 + 1 = 666.

It is not a de Polignac number, because 1316624421231 - 22 = 1316624421227 is a prime.

It is a super-2 number, since 2×13166244212312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316624421631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 431820195 + ... + 431823243.

It is an arithmetic number, because the mean of its divisors is an integer number (17827128000).

Almost surely, 21316624421231 is an apocalyptic number.

1316624421231 is a deficient number, since it is larger than the sum of its proper divisors (965247962769).

1316624421231 is a wasteful number, since it uses less digits than its factorization.

1316624421231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3460 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 1316624421231 its reverse (1321244266131), we get a palindrome (2637868687362).

The spelling of 1316624421231 in words is "one trillion, three hundred sixteen billion, six hundred twenty-four million, four hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 107 131 163 189 321 393 489 749 917 963 1141 1179 1467 2247 2751 2889 3049 3423 3537 4401 6741 8253 9147 10269 14017 17441 20223 21343 21353 24759 27441 30807 42051 52323 64029 64059 82323 98119 122087 126153 149471 156969 192087 192177 294357 326243 366261 378459 399419 448413 470907 496987 576261 576531 883071 978729 1098783 1198257 1345239 1490961 2283701 2284771 2649213 2795933 2936187 3296349 3478909 3594771 4035717 4472883 6851103 6854313 8387799 8808561 10436727 10784313 13418649 15993397 20553309 20562939 25163397 31310181 42737833 47980191 53177609 61659927 61688817 65105297 75490191 93930543 128213499 143940573 159532827 195315891 299164831 372243263 384640497 431821719 455737079 478598481 585947673 897494493 1116729789 1153921491 1367211237 1435795443 1757843019 2692483479 3350189367 4101633711 6966266779 8077450437 10050568101 12304901133 20898800337 48763867453 62696401011 146291602359 188089203033 438874807077 1316624421231