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243142003032 = 2331935311811279
BaseRepresentation
bin1110001001110001100…
…1001000100101011000
3212020120222120111212120
43202130121020211120
512440423323044112
6303410424541240
723365166632335
oct3423431104530
9766528514776
10243142003032
119413035a665
123b157921820
1319c0b314c16
14baa7a9b98c
1564d0beee8c
hex389c648958

243142003032 has 128 divisors (see below), whose sum is σ = 642705408000. Its totient is φ = 76439531520.

The previous prime is 243142003007. The next prime is 243142003057. The reversal of 243142003032 is 230300241342.

It is an interprime number because it is at equal distance from previous prime (243142003007) and next prime (243142003057).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 243142002993 and 243142003011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190102569 + ... + 190103847.

It is an arithmetic number, because the mean of its divisors is an integer number (5021136000).

Almost surely, 2243142003032 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 243142003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321352704000).

243142003032 is an abundant number, since it is smaller than the sum of its proper divisors (399563404968).

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

243142003032 is a wasteful number, since it uses less digits than its factorization.

243142003032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 243142003032 its reverse (230300241342), we get a palindrome (473442244374).

The spelling of 243142003032 in words is "two hundred forty-three billion, one hundred forty-two million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 353 456 706 1059 1181 1279 1412 2118 2362 2558 2824 3543 3837 4236 4724 5116 6707 7086 7674 8472 9448 10232 13414 14172 15348 20121 22439 24301 26828 28344 30696 40242 44878 48602 53656 67317 72903 80484 89756 97204 134634 145806 160968 179512 194408 269268 291612 416893 451487 538536 583224 833786 902974 1250679 1354461 1510499 1667572 1805948 2501358 2708922 3020998 3335144 3611896 4531497 5002716 5417844 6041996 7920967 8578253 9062994 10005432 10835688 12083992 15841934 17156506 18125988 23762901 25734759 28699481 31683868 34313012 36251976 47525802 51469518 57398962 63367736 68626024 86098443 95051604 102939036 114797924 172196886 190103208 205878072 229595848 344393772 533206147 688787544 1066412294 1599618441 2132824588 3199236882 4265649176 6398473764 10130916793 12796947528 20261833586 30392750379 40523667172 60785500758 81047334344 121571001516 243142003032