Search a number
-
+
61443434416 = 2471342200161
BaseRepresentation
bin111001001110010100…
…000110011110110000
312212121002122212112011
4321032110012132300
52001314004400131
644120550012304
74303424401210
oct711624063660
9185532585464
1061443434416
1124070242771
12baa9347094
135a428057b0
142d8c470240
1518e93270b1
hexe4e5067b0

61443434416 has 40 divisors (see below), whose sum is σ = 146518962464. Its totient is φ = 24307292160.

The previous prime is 61443434413. The next prime is 61443434443.

61443434416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×614434344162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61443434413) 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 7 ways as a sum of consecutive naturals, for example, 21098625 + ... + 21101536.

Almost surely, 261443434416 is an apocalyptic number.

It is an amenable number.

61443434416 is an abundant number, since it is smaller than the sum of its proper divisors (85075528048).

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

61443434416 is a wasteful number, since it uses less digits than its factorization.

61443434416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42200189 (or 42200183 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 61443434416 in words is "sixty-one billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 42200161 84400322 168800644 295401127 337601288 548602093 590802254 675202576 1097204186 1181604508 2194408372 2363209016 3840214651 4388816744 4726418032 7680429302 8777633488 15360858604 30721717208 61443434416