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1340112414004 = 22713191271525747
BaseRepresentation
bin10011100000000100111…
…011001010010100110100
311202010001201221012202021
4103200010323022110310
5133424022234222004
62503350015522524
7165551143366660
oct23400473122464
94663051835667
101340112414004
1147737a580571
12197880b29444
13994ab548a60
1448c0ca598a0
1524cd5714d54
hex13804eca534

1340112414004 has 96 divisors (see below), whose sum is σ = 3062237265920. Its totient is φ = 498296437632.

The previous prime is 1340112414001. The next prime is 1340112414019. The reversal of 1340112414004 is 4004142110431.

It is a self number, because there is not a number n which added to its sum of digits gives 1340112414004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340112414001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115459 + ... + 1641205.

Almost surely, 21340112414004 is an apocalyptic number.

1340112414004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340112414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531118632960).

1340112414004 is an abundant number, since it is smaller than the sum of its proper divisors (1722124851916).

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

1340112414004 is a wasteful number, since it uses less digits than its factorization.

1340112414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525917 (or 1525915 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1340112414004 its reverse (4004142110431), we get a palindrome (5344254524435).

The spelling of 1340112414004 in words is "one trillion, three hundred forty billion, one hundred twelve million, four hundred fourteen thousand, four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 127 133 182 247 254 266 364 494 508 532 889 988 1651 1729 1778 2413 3302 3458 3556 4826 6604 6916 9652 11557 16891 23114 31369 33782 46228 62738 67564 125476 219583 439166 878332 1525747 3051494 6102988 10680229 19834711 21360458 28989193 39669422 42720916 57978386 79338844 115956772 138842977 193769869 202924351 277685954 376859509 387539738 405848702 555371908 753719018 775079476 811697404 1356389083 1507438036 2519008297 2638016563 2712778166 3681627511 5038016594 5276033126 5425556332 7363255022 10076033188 10552066252 14726510044 17633058079 25771392577 35266116158 47861157643 51542785154 70532232316 95722315286 103085570308 191444630572 335028103501 670056207002 1340112414004