Search a number
-
+
4247142344340 = 2235723990746649
BaseRepresentation
bin111101110011011101011…
…010010010011010010100
3120001000121122121121102220
4331303131122102122110
51024041121420004330
613011035452102340
7615563101163220
oct75633532223224
916030548547386
104247142344340
111398226148925
1258715b4649b0
1324a671b214cc
141097c43dd780
1575727e9b710
hex3dcdd692694

4247142344340 has 192 divisors, whose sum is σ = 13663060992000. Its totient is φ = 965627034624.

The previous prime is 4247142344321. The next prime is 4247142344453. The reversal of 4247142344340 is 434432417424.

It is a super-2 number, since 2×42471423443402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4247142344292 and 4247142344301.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 91021336 + ... + 91067984.

It is an arithmetic number, because the mean of its divisors is an integer number (71161776000).

Almost surely, 24247142344340 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 4247142344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831530496000).

4247142344340 is an abundant number, since it is smaller than the sum of its proper divisors (9415918647660).

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

4247142344340 is a wasteful number, since it uses less digits than its factorization.

4247142344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47814 (or 47812 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 42.

The spelling of 4247142344340 in words is "four trillion, two hundred forty-seven billion, one hundred forty-two million, three hundred forty-four thousand, three hundred forty".