Search a number
-
+
444202102140 = 2235173716137297
BaseRepresentation
bin1100111011011001000…
…00100010110101111100
31120110120012121210221220
412131230200202311330
524234211214232030
6540021424353340
744043512366316
oct6355440426574
91513505553856
10444202102140
11161426562a25
127210a475850
1332b71154374
14176dc8927b6
15b84c277a10
hex676c822d7c

444202102140 has 192 divisors, whose sum is σ = 1353545230464. Its totient is φ = 108390776832.

The previous prime is 444202102007. The next prime is 444202102147. The reversal of 444202102140 is 41201202444.

444202102140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 444202102140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444202102147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60870972 + ... + 60878268.

It is an arithmetic number, because the mean of its divisors is an integer number (7049714742).

Almost surely, 2444202102140 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 444202102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676772615232).

444202102140 is an abundant number, since it is smaller than the sum of its proper divisors (909343128324).

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

444202102140 is a wasteful number, since it uses less digits than its factorization.

444202102140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444202102140 its reverse (41201202444), we get a palindrome (485403304584).

The spelling of 444202102140 in words is "four hundred forty-four billion, two hundred two million, one hundred two thousand, one hundred forty".