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214401142131 = 3113727365011
BaseRepresentation
bin1100011110101101001…
…1011100110101110011
3202111101222120111121220
43013223103130311303
512003043143022011
6242254452320123
721330026432061
oct3075323346563
9674358514556
10214401142131
1182a21945460
1235676613043
13172aaa7c457
14a53c979031
15589c8e4506
hex31eb4dcd73

214401142131 has 48 divisors (see below), whose sum is σ = 324908131968. Its totient is φ = 124694380800.

The previous prime is 214401142129. The next prime is 214401142159. The reversal of 214401142131 is 131241104412.

It is a happy number.

It is not a de Polignac number, because 214401142131 - 21 = 214401142129 is a prime.

It is a super-2 number, since 2×2144011421312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214401142231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3265416 + ... + 3330426.

It is an arithmetic number, because the mean of its divisors is an integer number (6768919416).

Almost surely, 2214401142131 is an apocalyptic number.

214401142131 is a deficient number, since it is larger than the sum of its proper divisors (110506989837).

214401142131 is a wasteful number, since it uses less digits than its factorization.

214401142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65172 (or 65135 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 214401142131 its reverse (131241104412), we get a palindrome (345642246543).

The spelling of 214401142131 in words is "two hundred fourteen billion, four hundred one million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 11 33 37 73 111 219 407 803 1221 1369 2409 2701 4107 8103 15059 29711 45177 65011 89133 99937 195033 299811 715121 1099307 2145363 2405407 3297921 4745803 7216221 14237409 26459477 52203833 79378431 89000059 156611499 175594711 267000177 526784133 979000649 1931541821 2937001947 5794625463 6497004307 19491012921 71467047377 214401142131