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23140333304132 = 22119710123111709
BaseRepresentation
bin1010100001011110001110…
…10110001011100101000100
310000221012020121121021011112
411100233013112023211010
511013112400311213012
6121114304455224152
74605556013464322
oct520570726134504
9100835217537145
1023140333304132
11741183a979210
122718902978058
13cbb17c7645b5
1459ddd8b44d12
152a1dee6d8122
hex150bc758b944

23140333304132 has 144 divisors (see below), whose sum is σ = 45250123201920. Its totient is φ = 10267676160000.

The previous prime is 23140333304093. The next prime is 23140333304171.

23140333304132 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23140333304093) and next prime (23140333304171).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13540276094 + ... + 13540277802.

It is an arithmetic number, because the mean of its divisors is an integer number (314236966680).

Almost surely, 223140333304132 is an apocalyptic number.

23140333304132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23140333304132 is a deficient number, since it is larger than the sum of its proper divisors (22109789897788).

23140333304132 is a wasteful number, since it uses less digits than its factorization.

23140333304132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 2314033 and 3304132, that added together give a palindrome (5618165).

The spelling of 23140333304132 in words is "twenty-three trillion, one hundred forty billion, three hundred thirty-three million, three hundred four thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 97 101 194 202 311 388 404 622 1067 1111 1244 1709 2134 2222 3418 3421 4268 4444 6836 6842 9797 10201 13684 18799 19594 20402 30167 31411 37598 39188 40804 60334 62822 75196 107767 112211 120668 125644 165773 172609 215534 224422 331546 331837 345218 345521 431068 448844 531499 663092 663674 690436 691042 989497 1062998 1327348 1382084 1823503 1898699 1978994 2125996 3046867 3172511 3647006 3797398 3957988 5846489 6093734 6345022 7294012 7594796 10884467 11692978 12187468 12690044 16743073 17433509 21768934 23385956 33486146 33515537 34867018 34897621 43537868 51555403 53681399 66972292 67031074 69734036 69795242 103110806 107362798 134062148 139590484 184173803 191768599 206221612 214725596 307733567 368347606 383537198 567109433 590495389 615467134 736695212 767074396 1134218866 1180990778 1230934268 1691050373 2268437732 2361981556 3382100746 3385069237 5207095703 5421821299 6764201492 6770138474 10414191406 10843642598 13540276948 18601554103 20828382812 21687285196 37203108206 57278052733 59640034289 74406216412 114556105466 119280068578 229112210932 238560137156 525916666003 1051833332006 2103666664012 5785083326033 11570166652066 23140333304132