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114144212124 = 2235951112347
BaseRepresentation
bin110101001001110000…
…1100111010010011100
3101220121220110202200000
41222103201213102130
53332231404241444
6124234230334300
711150412536355
oct1522341472234
9356556422600
10114144212124
1144454483008
121a1567ba390
13a9c0c71c27
14574b756d2c
152e80d57469
hex1a9386749c

114144212124 has 72 divisors (see below), whose sum is σ = 299273240448. Its totient is φ = 38040989040.

The previous prime is 114144212111. The next prime is 114144212167. The reversal of 114144212124 is 421212441411.

114144212124 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 442 + 1 + 212 + 4 = 666.

It is a super-2 number, since 2×1141442121242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9238519 + ... + 9250865.

It is an arithmetic number, because the mean of its divisors is an integer number (4156572784).

Almost surely, 2114144212124 is an apocalyptic number.

It is an amenable number.

114144212124 is an abundant number, since it is smaller than the sum of its proper divisors (185129028324).

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

114144212124 is a wasteful number, since it uses less digits than its factorization.

114144212124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21877 (or 21863 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 114144212124 its reverse (421212441411), we get a palindrome (535356653535).

The spelling of 114144212124 in words is "one hundred fourteen billion, one hundred forty-four million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 9511 12347 19022 24694 28533 37041 38044 49388 57066 74082 85599 111123 114132 148164 171198 222246 256797 333369 342396 444492 513594 666738 770391 1000107 1027188 1333476 1540782 2000214 2311173 3000321 3081564 4000428 4622346 6000642 9244692 12001284 117432317 234864634 352296951 469729268 704593902 1056890853 1409187804 2113781706 3170672559 4227563412 6341345118 9512017677 12682690236 19024035354 28536053031 38048070708 57072106062 114144212124