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42000001332 = 22329617327103
BaseRepresentation
bin100111000111011001…
…010010100100110100
311000102001102010112220
4213013121102210310
51142004000020312
631143341442340
73014541056322
oct470731224464
9130361363486
1042000001332
11168a29a6703
1281818703b0
133c6452a3c3
142066066d12
15115c399c8c
hex9c7652934

42000001332 has 96 divisors (see below), whose sum is σ = 104456647680. Its totient is φ = 13113031680.

The previous prime is 42000001313. The next prime is 42000001333. The reversal of 42000001332 is 23310000024.

It is a super-2 number, since 2×420000013322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000001333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536093 + ... + 1563195.

It is an arithmetic number, because the mean of its divisors is an integer number (1088090080).

Almost surely, 242000001332 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 42000001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228323840).

42000001332 is an abundant number, since it is smaller than the sum of its proper divisors (62456646348).

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

42000001332 is a wasteful number, since it uses less digits than its factorization.

42000001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27273 (or 27271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 42000001332 its reverse (23310000024), we get a palindrome (65310001356).

The spelling of 42000001332 in words is "forty-two billion, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 61 73 87 116 122 146 174 183 219 244 292 348 366 438 732 876 1769 2117 3538 4234 4453 5307 6351 7076 8468 8906 10614 12702 13359 17812 21228 25404 26718 27103 53436 54206 81309 108412 129137 162618 258274 325236 387411 516548 774822 785987 1549644 1571974 1653283 1978519 2357961 3143948 3306566 3957038 4715922 4959849 5935557 6613132 7914076 9431844 9919698 11871114 19839396 23742228 47945207 57377051 95890414 114754102 120689659 143835621 172131153 191780828 229508204 241379318 287671242 344262306 362068977 482758636 575342484 688524612 724137954 1448275908 3500000111 7000000222 10500000333 14000000444 21000000666 42000001332