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42324323132 = 22713831578923
BaseRepresentation
bin100111011010101110…
…011110101100111100
311001020122200101102102
4213122232132230330
51143140011320012
631235445044232
73025556545040
oct473256365474
9131218611372
1042324323132
1116a49a82453
1282523b6678
133cb67927b0
14209716c020
15117aab02c2
hex9dab9eb3c

42324323132 has 96 divisors (see below), whose sum is σ = 92856433152. Its totient is φ = 16434752256.

The previous prime is 42324323101. The next prime is 42324323137. The reversal of 42324323132 is 23132342324.

It is a junction number, because it is equal to n+sod(n) for n = 42324323095 and 42324323104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42324323137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4738823 + ... + 4747745.

It is an arithmetic number, because the mean of its divisors is an integer number (967254512).

Almost surely, 242324323132 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 42324323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46428216576).

42324323132 is an abundant number, since it is smaller than the sum of its proper divisors (50532110020).

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

42324323132 is a wasteful number, since it uses less digits than its factorization.

42324323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9185 counting only the distinct ones).

The product of its digits is 20736, while the sum is 29.

Adding to 42324323132 its reverse (23132342324), we get a palindrome (65456665456).

The spelling of 42324323132 in words is "forty-two billion, three hundred twenty-four million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 83 91 157 166 182 314 332 364 581 628 1079 1099 1162 2041 2158 2198 2324 4082 4316 4396 7553 8164 8923 13031 14287 15106 17846 26062 28574 30212 35692 52124 57148 62461 91217 115999 124922 169403 182434 231998 249844 338806 364868 463996 677612 740609 811993 1185821 1400911 1481218 1623986 2371642 2801822 2962436 3247972 4743284 5184263 5603644 9627917 9806377 10368526 18211843 19255834 19612754 20737052 36423686 38511668 39225508 67395419 72847372 116275613 127482901 134790838 232551226 254965802 269581676 465102452 509931604 813929291 1511582969 1627858582 3023165938 3255717164 6046331876 10581080783 21162161566 42324323132