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1144123123242 = 231124367547007
BaseRepresentation
bin10000101001100011000…
…011010110011000101010
311001101011220111200000110
4100221203003112120222
5122221131004420432
62233334121115150
7145442303041551
oct20514303263052
94041156450013
101144123123242
11401246748600
121658a4628ab6
1383b7612a918
143d5394b8d98
151eb6442ddcc
hex10a630d662a

1144123123242 has 96 divisors (see below), whose sum is σ = 2612090105856. Its totient is φ = 333586139040.

The previous prime is 1144123123211. The next prime is 1144123123279. The reversal of 1144123123242 is 2423213214411.

It is a happy number.

It is a super-2 number, since 2×11441231232422 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 1818103 + ... + 2365109.

It is an arithmetic number, because the mean of its divisors is an integer number (27209271936).

Almost surely, 21144123123242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144123123242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306045052928).

1144123123242 is an abundant number, since it is smaller than the sum of its proper divisors (1467966982614).

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

1144123123242 is a wasteful number, since it uses less digits than its factorization.

1144123123242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547144 (or 547133 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 1144123123242 its reverse (2423213214411), we get a palindrome (3567336337653).

The spelling of 1144123123242 in words is "one trillion, one hundred forty-four billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 67 86 121 129 134 201 242 258 363 402 473 726 737 946 1419 1474 2211 2838 2881 4422 5203 5762 8107 8643 10406 15609 16214 17286 24321 31218 31691 48642 63382 95073 190146 348601 547007 697202 1045803 1094014 1641021 2091606 3282042 6017077 12034154 18051231 23521301 36102462 36649469 47042602 66187847 70563903 73298938 109948407 132375694 141127806 198563541 219896814 258734311 397127082 403144159 517468622 776202933 806288318 1209432477 1552405866 1575927167 2418864954 2846077421 3151854334 4434585749 4727781501 5692154842 8538232263 8869171498 9455563002 13303757247 17076464526 17335198837 26607514494 34670397674 52005596511 104011193022 190687187207 381374374414 572061561621 1144123123242