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1412112141 = 3211372391613
BaseRepresentation
bin101010000101011…
…0001111100001101
310122102010201200200
41110022301330031
510343000042031
6352042244113
746664520006
oct12412617415
93572121620
101412112141
11665111830
12334ab6639
1319672c81b
14d57861ad
1583e888e6
hex542b1f0d

1412112141 has 48 divisors (see below), whose sum is σ = 2296270080. Its totient is φ = 828696960.

The previous prime is 1412112127. The next prime is 1412112151.

1412112141 is a `hidden beast` number, since 1 + 412 + 112 + 141 = 666.

1412112141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1412112141 - 29 = 1412111629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412112151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874651 + ... + 876263.

It is an arithmetic number, because the mean of its divisors is an integer number (47838960).

Almost surely, 21412112141 is an apocalyptic number.

1412112141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1412112141 is a deficient number, since it is larger than the sum of its proper divisors (884157939).

1412112141 is a wasteful number, since it uses less digits than its factorization.

1412112141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1903 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1412112141 is about 37578.0805922815. The cubic root of 1412112141 is about 1121.9058062898.

It can be divided in two parts, 14121 and 12141, that added together give a palindrome (26262).

The spelling of 1412112141 in words is "one billion, four hundred twelve million, one hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 37 99 111 239 333 407 717 1221 1613 2151 2629 3663 4839 7887 8843 14517 17743 23661 26529 53229 59681 79587 97273 159687 179043 291819 385507 537129 656491 875457 1156521 1969473 3469563 4240577 5908419 12721731 14263759 38165193 42791277 128373831 156901349 470704047 1412112141