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143924173968 = 24361139353629
BaseRepresentation
bin1000011000001010001…
…1001001110010010000
3111202111022201120102210
42012002203021302100
54324224042031333
6150041242312120
713253401202511
oct2060243116220
9452438646383
10143924173968
1156046498123
1223a87ab8640
1310758885123
146d74884a08
153b254b9a63
hex21828c9c90

143924173968 has 80 divisors (see below), whose sum is σ = 380619041600. Its totient is φ = 46848637440.

The previous prime is 143924173957. The next prime is 143924173997. The reversal of 143924173968 is 869371429341.

It is a happy number.

It is a super-2 number, since 2×1439241739682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230178 + ... + 583806.

It is an arithmetic number, because the mean of its divisors is an integer number (4757738020).

Almost surely, 2143924173968 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 143924173968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190309520800).

143924173968 is an abundant number, since it is smaller than the sum of its proper divisors (236694867632).

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

143924173968 is a wasteful number, since it uses less digits than its factorization.

143924173968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353840 (or 353834 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The spelling of 143924173968 in words is "one hundred forty-three billion, nine hundred twenty-four million, one hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 139 183 244 278 366 417 488 556 732 834 976 1112 1464 1668 2224 2928 3336 6672 8479 16958 25437 33916 50874 67832 101748 135664 203496 353629 406992 707258 1060887 1414516 2121774 2829032 4243548 5658064 8487096 16974192 21571369 43142738 49154431 64714107 86285476 98308862 129428214 147463293 172570952 196617724 258856428 294926586 345141904 393235448 517712856 589853172 786470896 1035425712 1179706344 2359412688 2998420291 5996840582 8995260873 11993681164 17990521746 23987362328 35981043492 47974724656 71962086984 143924173968