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42041320536 = 2336195330133
BaseRepresentation
bin100111001001110110…
…111010010001011000
311000111221011100211210
4213021312322101120
51142100034224121
631151415223120
73015552220425
oct471166722130
9130457140753
1042041320536
1116914258406
128193677aa0
133c6cc66537
14206b740d4c
151160d0c876
hex9c9dba458

42041320536 has 64 divisors (see below), whose sum is σ = 106941949920. Its totient is φ = 13769118720.

The previous prime is 42041320513. The next prime is 42041320537. The reversal of 42041320536 is 63502314024.

42041320536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×420413205363 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041320537) 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, 1380126 + ... + 1410258.

Almost surely, 242041320536 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 42041320536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53470974960).

42041320536 is an abundant number, since it is smaller than the sum of its proper divisors (64900629384).

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

42041320536 is a wasteful number, since it uses less digits than its factorization.

42041320536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31156 (or 31152 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 42041320536 in words is "forty-two billion, forty-one million, three hundred twenty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 953 1464 1906 2859 3812 5718 7624 11436 22872 30133 58133 60266 90399 116266 120532 174399 180798 232532 241064 348798 361596 465064 697596 723192 1395192 1838113 3676226 5514339 7352452 11028678 14704904 22057356 28716749 44114712 57433498 86150247 114866996 172300494 229733992 344600988 689201976 1751721689 3503443378 5255165067 7006886756 10510330134 14013773512 21020660268 42041320536