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1341352531431 = 3211243131449487
BaseRepresentation
bin10011100001001110110…
…101110101010111100111
311202020021011102201001100
4103201032311311113213
5133434042222001211
62504113035531143
7165623652252453
oct23411665652747
94666234381040
101341352531431
11477956598100
12197b682b9ab3
1399648448353
1448cc962d663
1524d59527156
hex1384ed755e7

1341352531431 has 144 divisors (see below), whose sum is σ = 2205230227200. Its totient is φ = 784604620800.

The previous prime is 1341352531427. The next prime is 1341352531451.

1341352531431 is a `hidden beast` number, since 1 + 3 + 41 + 3 + 52 + 531 + 4 + 31 = 666.

1341352531431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1341352531431 - 22 = 1341352531427 is a prime.

It is a super-2 number, since 2×13413525314312 (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 (1341352531451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2754317070 + ... + 2754317556.

It is an arithmetic number, because the mean of its divisors is an integer number (15314098800).

Almost surely, 21341352531431 is an apocalyptic number.

1341352531431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1341352531431 is a deficient number, since it is larger than the sum of its proper divisors (863877695769).

1341352531431 is a wasteful number, since it uses less digits than its factorization.

1341352531431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1124 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 1341352531431 in words is "one trillion, three hundred forty-one billion, three hundred fifty-two million, five hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 43 99 121 129 131 363 387 393 449 473 487 1089 1179 1347 1419 1441 1461 4041 4257 4323 4383 4939 5203 5357 5633 12969 14817 15609 15851 16071 16899 19307 20941 44451 46827 47553 48213 50697 54329 57921 58819 58927 61963 62823 63797 142659 162987 173763 176457 176781 185889 188469 191391 212377 218663 230351 488961 529371 530343 557667 574173 637131 647009 655989 681593 691053 701767 1911393 1941027 1967967 2044779 2073159 2105301 2336147 2405293 2529217 2533861 2743271 5823081 6134337 6315903 7008441 7117099 7215879 7587651 7601583 7719437 8229813 9402509 21025323 21351297 21647637 22762953 22804749 23158311 24689439 26458223 27821387 28207527 28644853 30175981 64053891 69474933 79374669 83464161 84622581 85934559 90527943 103427599 238124007 250392483 257803677 271583829 306035257 310282797 315093383 331935791 918105771 930848391 945280149 995807373 1137703589 1231728679 2754317313 2835840447 2987422119 3413110767 3466027213 3695186037 10239332301 10398081639 11085558111 13549015469 31194244917 40647046407 121941139221 149039170159 447117510477 1341352531431