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14141141244 = 2233232416037
BaseRepresentation
bin11010010101110000…
…01011000011111100
31100111112001101222000
431022320023003330
5212430113004434
610255113422300
71010300501016
oct151270130374
940445041860
1014141141244
115aa733a79a
1228a7a0a990
1314449287c9
149821371b6
1557b712b99
hex34ae0b0fc

14141141244 has 144 divisors (see below), whose sum is σ = 39266804640. Its totient is φ = 4398071040.

The previous prime is 14141141227. The next prime is 14141141249. The reversal of 14141141244 is 44214114141.

14141141244 is a `hidden beast` number, since 1 + 4 + 1 + 411 + 4 + 1 + 244 = 666.

14141141244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (14141141249) 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 47 ways as a sum of consecutive naturals, for example, 2339394 + ... + 2345430.

Almost surely, 214141141244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141141244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19633402320).

14141141244 is an abundant number, since it is smaller than the sum of its proper divisors (25125663396).

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

14141141244 is a wasteful number, since it uses less digits than its factorization.

14141141244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6106 counting only the distinct ones).

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

Adding to 14141141244 its reverse (44214114141), we get a palindrome (58355255385).

The spelling of 14141141244 in words is "fourteen billion, one hundred forty-one million, one hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 41 46 54 69 82 92 108 123 138 164 207 246 276 369 414 492 529 621 738 828 943 1058 1107 1242 1476 1587 1886 2116 2214 2484 2829 3174 3772 4428 4761 5658 6037 6348 8487 9522 11316 12074 14283 16974 18111 19044 21689 24148 25461 28566 33948 36222 43378 50922 54333 57132 65067 72444 86756 101844 108666 130134 138851 162999 195201 217332 247517 260268 277702 325998 390402 416553 495034 555404 585603 651996 742551 780804 833106 990068 1171206 1249659 1485102 1666212 2227653 2342412 2499318 2970204 3193573 3748977 4455306 4998636 5692891 6387146 6682959 7497954 8910612 9580719 11385782 12774292 13365918 14995908 17078673 19161438 22771564 26731836 28742157 34157346 38322876 51236019 57484314 68314692 86226471 102472038 114968628 130936493 153708057 172452942 204944076 261872986 307416114 344905884 392809479 523745972 614832228 785618958 1178428437 1571237916 2356856874 3535285311 4713713748 7070570622 14141141244