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1412400042141 = 311229213135317
BaseRepresentation
bin10100100011011001100…
…110100101000010011101
312000000122120212012110220
4110203121212211002131
5141120043402322031
63000503030351553
7204020406162264
oct24433146450235
95000576765426
101412400042141
114a4aa5003500
121a9895abb5b9
13a325b8c620a
144c5093dd5db
1526b16aa1596
hex148d99a509d

1412400042141 has 72 divisors (see below), whose sum is σ = 2160229143072. Its totient is φ = 820150531200.

The previous prime is 1412400042139. The next prime is 1412400042149.

1412400042141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1412400042141 - 21 = 1412400042139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412400042149) 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 71 ways as a sum of consecutive naturals, for example, 39974415 + ... + 40009731.

Almost surely, 21412400042141 is an apocalyptic number.

1412400042141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1412400042141 is a deficient number, since it is larger than the sum of its proper divisors (747829100931).

1412400042141 is a wasteful number, since it uses less digits than its factorization.

1412400042141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35531 (or 35491 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 14124000 and 42141, that added together give a palindrome (14166141).

The spelling of 1412400042141 in words is "one trillion, four hundred twelve billion, four hundred million, forty-two thousand, one hundred forty-one".

Divisors: 1 3 11 29 33 87 121 131 319 363 393 841 957 1441 2523 3509 3799 4323 9251 10527 11397 15851 27753 35317 41789 47553 101761 105951 110171 125367 305283 330513 388487 459679 1024193 1165461 1211881 1379037 3072579 3635643 4273357 4626527 11266123 12820071 13330691 13879581 29701597 33798369 39992073 50891797 89104791 123927353 134169283 152675391 326717567 371782059 402507849 559809767 980152701 1475862113 1679429301 3593893237 3890909207 4427586339 10781679711 11672727621 16234483243 42800001277 48703449729 128400003831 470800014047 1412400042141