Search a number
-
+
10414040202 = 2323786318119
BaseRepresentation
bin10011011001011100…
…11010010010001010
3222212202212001111200
421230232122102022
5132311443241302
64441213005030
7516032611146
oct115456322212
928782761450
1010414040202
1144644aa5a5
122027783776
13c9c706587
1470b140226
1540e3e681c
hex26cb9a48a

10414040202 has 48 divisors (see below), whose sum is σ = 23201717760. Its totient is φ = 3373426656.

The previous prime is 10414040191. The next prime is 10414040207. The reversal of 10414040202 is 20204041401.

10414040202 is a `hidden beast` number, since 10 + 414 + 0 + 40 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10414040207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565699 + ... + 583817.

It is an arithmetic number, because the mean of its divisors is an integer number (483369120).

Almost surely, 210414040202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414040202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600858880).

10414040202 is an abundant number, since it is smaller than the sum of its proper divisors (12787677558).

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

10414040202 is a wasteful number, since it uses less digits than its factorization.

10414040202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19027 (or 19024 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10414040202 its reverse (20204041401), we get a palindrome (30618081603).

The spelling of 10414040202 in words is "ten billion, four hundred fourteen million, forty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 863 1726 2589 5178 7767 15534 18119 31931 36238 54357 63862 95793 108714 163071 191586 287379 326142 574758 670403 1340806 2011209 4022418 6033627 12067254 15636697 31273394 46910091 93820182 140730273 281460546 578557789 1157115578 1735673367 3471346734 5207020101 10414040202