Search a number
-
+
42140432034 = 2332935597561
BaseRepresentation
bin100111001111110000…
…111111011010100010
311000202211122202021000
4213033300333122202
51142300422311114
631205315412430
73021164522301
oct471760773242
9130684582230
1042140432034
11169651a2338
1282008b4116
133c876587ac
14207a980438
151169888e09
hex9cfc3f6a2

42140432034 has 64 divisors (see below), whose sum is σ = 96914592000. Its totient is φ = 13556833920.

The previous prime is 42140431999. The next prime is 42140432041. The reversal of 42140432034 is 43023404124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42140431989 and 42140432007.

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, 5569614 + ... + 5577174.

It is an arithmetic number, because the mean of its divisors is an integer number (1514290500).

Almost surely, 242140432034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42140432034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48457296000).

42140432034 is an abundant number, since it is smaller than the sum of its proper divisors (54774159966).

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

42140432034 is a wasteful number, since it uses less digits than its factorization.

42140432034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11160 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42140432034 its reverse (43023404124), we get a palindrome (85163836158).

The spelling of 42140432034 in words is "forty-two billion, one hundred forty million, four hundred thirty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 3559 7118 7561 10677 15122 21354 22683 32031 45366 64062 68049 96093 103211 136098 192186 204147 206422 219269 309633 408294 438538 619266 657807 928899 1315614 1857798 1973421 2786697 3946842 5573394 5920263 11840526 26909599 53819198 80728797 161457594 242186391 484372782 726559173 780378371 1453118346 1560756742 2341135113 4682270226 7023405339 14046810678 21070216017 42140432034