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1342440442431 = 3211229313493929
BaseRepresentation
bin10011100010001111101…
…011111000101000111111
311202100001222112022101100
4103202033223320220333
5133443304223124211
62504413021344143
7165662632325604
oct23421753705077
94670058468340
101342440442431
114783646a5800
12198210708053
139978c95567a
1448d8dd026ab
1524dbecc1156
hex1388faf8a3f

1342440442431 has 144 divisors (see below), whose sum is σ = 2283109920000. Its totient is φ = 757833753600.

The previous prime is 1342440442423. The next prime is 1342440442471.

1342440442431 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 404 + 4 + 243 + 1 = 666.

1342440442431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1342440442431 - 23 = 1342440442423 is a prime.

It is a super-2 number, since 2×13424404424312 (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 (1342440442471) 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, 341672875 + ... + 341676803.

It is an arithmetic number, because the mean of its divisors is an integer number (15854930000).

Almost surely, 21342440442431 is an apocalyptic number.

1342440442431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1342440442431 is a deficient number, since it is larger than the sum of its proper divisors (940669477569).

1342440442431 is a wasteful number, since it uses less digits than its factorization.

1342440442431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 1342440 and 442431, that added together give a palindrome (1784871).

The spelling of 1342440442431 in words is "one trillion, three hundred forty-two billion, four hundred forty million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 29 31 33 87 93 99 121 261 279 319 341 349 363 899 957 1023 1047 1089 2697 2871 3069 3141 3509 3751 3839 3929 8091 9889 10121 10527 10819 11253 11517 11787 29667 30363 31581 32457 33759 34551 35361 42229 43219 89001 91089 97371 108779 111331 113941 119009 121799 126687 129657 313751 326337 333993 341823 357027 365397 380061 388971 475409 941253 979011 1001979 1025469 1071081 1096191 1224641 1253351 1309099 1339789 1371221 1426227 2823759 3451261 3532171 3673923 3760053 3927297 4019367 4113663 4278681 10353783 10596513 11021769 11280159 11781891 12058101 12340989 13786861 14737679 15083431 31061349 31789539 37963871 38853881 39765409 41360583 42507851 44213037 45250293 113891613 116561643 119296227 124081749 127523553 132639111 135750879 165917741 341674839 349684929 357888681 382570659 427392691 437419499 467586361 497753223 1232727679 1282178073 1312258497 1402759083 1493259669 3698183037 3846534219 3936775491 4208277249 4811614489 5143449971 11094549111 13560004469 14434843467 15430349913 40680013407 43304530401 46291049739 122040040221 149160049159 447480147477 1342440442431