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42143000272 = 24171492234663
BaseRepresentation
bin100111001111111010…
…110010011011010000
311000210000111020012221
4213033322302123100
51142302102002042
631205450430424
73021225410002
oct471772623320
9130700436187
1042143000272
111696669694a
128201732414
133c88047769
14207b04c372
151169be4d67
hex9cfeb26d0

42143000272 has 80 divisors (see below), whose sum is σ = 87444403200. Its totient is φ = 19606358016.

The previous prime is 42143000269. The next prime is 42143000279. The reversal of 42143000272 is 27200034124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42143000279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9035413 + ... + 9040075.

It is an arithmetic number, because the mean of its divisors is an integer number (1093055040).

Almost surely, 242143000272 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 42143000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43722201600).

42143000272 is an abundant number, since it is smaller than the sum of its proper divisors (45301402928).

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

42143000272 is a wasteful number, since it uses less digits than its factorization.

42143000272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

Adding to 42143000272 its reverse (27200034124), we get a palindrome (69343034396).

The spelling of 42143000272 in words is "forty-two billion, one hundred forty-three million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 34 68 136 149 223 272 298 446 596 892 1192 1784 2384 2533 3568 3791 4663 5066 7582 9326 10132 15164 18652 20264 30328 33227 37304 40528 60656 66454 74608 79271 132908 158542 265816 317084 531632 564859 634168 694787 1039849 1129718 1268336 1389574 2079698 2259436 2779148 4159396 4518872 5558296 8318792 9037744 11116592 11811379 16637584 17677433 23622758 35354866 47245516 70709732 94491032 141419464 154937501 188982064 282838928 309875002 619750004 1239500008 2479000016 2633937517 5267875034 10535750068 21071500136 42143000272