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4342050502434 = 23237531011217933
BaseRepresentation
bin111111001011110110011…
…000001011011100100010
3120101002120222001120201100
4333023312120023130202
51032120004412034214
613122413243215230
7625463026210461
oct77136630133442
916332528046640
104342050502434
1114244a9347817
125a1627b17516
132565b8756c38
141102290d29d8
1577e3018c309
hex3f2f660b722

4342050502434 has 96 divisors (see below), whose sum is σ = 9941819859504. Its totient is φ = 1367981222400.

The previous prime is 4342050502417. The next prime is 4342050502441.

4342050502434 is a `hidden beast` number, since 43 + 4 + 20 + 50 + 502 + 43 + 4 = 666.

4342050502434 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3680354480625 + 661696021809 = 1918425^2 + 813447^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956132 + ... + 4174064.

Almost surely, 24342050502434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342050502434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970909929752).

4342050502434 is an abundant number, since it is smaller than the sum of its proper divisors (5599769357070).

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

4342050502434 is a wasteful number, since it uses less digits than its factorization.

4342050502434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218132 (or 1218129 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 4342050 and 502434, that added together give a palindrome (4844484).

The spelling of 4342050502434 in words is "four trillion, three hundred forty-two billion, fifty million, five hundred two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 53 74 101 106 111 159 202 222 303 318 333 477 606 666 909 954 1818 1961 3737 3922 5353 5883 7474 10706 11211 11766 16059 17649 22422 32118 33633 35298 48177 67266 96354 198061 396122 594183 1188366 1217933 1782549 2435866 3565098 3653799 7307598 10961397 21922794 45063521 64550449 90127042 123011233 129100898 135190563 193651347 246022466 270381126 369033699 387302694 405571689 580954041 738067398 811143378 1107101097 1161908082 2214202194 2388366613 4551415621 4776733226 6519595349 7165099839 9102831242 13039190698 13654246863 14330199678 19558786047 21495299517 27308493726 39117572094 40962740589 42990599034 58676358141 81925481178 117352716282 241225027913 482450055826 723675083739 1447350167478 2171025251217 4342050502434