Search a number
-
+
40041033102 = 235759199489
BaseRepresentation
bin100101010010101000…
…011010110110001110
310211100112021020100000
4211102220122312032
51124001001024402
630221122145130
72615153110560
oct452250326616
9124315236300
1040041033102
1115a881348a4
1279157b21a6
133a1171b3c5
141d1bc0d330
1510953dec1c
hex952a1ad8e

40041033102 has 96 divisors (see below), whose sum is σ = 104564678400. Its totient is φ = 11246335488.

The previous prime is 40041033089. The next prime is 40041033107. The reversal of 40041033102 is 20133014004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40041033107) 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 47 ways as a sum of consecutive naturals, for example, 100974 + ... + 300462.

It is an arithmetic number, because the mean of its divisors is an integer number (1089215400).

Almost surely, 240041033102 is an apocalyptic number.

40041033102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40041033102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52282339200).

40041033102 is an abundant number, since it is smaller than the sum of its proper divisors (64523645298).

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

40041033102 is a wasteful number, since it uses less digits than its factorization.

40041033102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199572 (or 199560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40041033102 its reverse (20133014004), we get a palindrome (60174047106).

The spelling of 40041033102 in words is "forty billion, forty-one million, thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 81 118 126 162 177 189 243 354 378 413 486 531 567 826 1062 1134 1239 1593 1701 2478 3186 3402 3717 4779 7434 9558 11151 14337 22302 28674 33453 66906 100359 199489 200718 398978 598467 1196934 1396423 1795401 2792846 3590802 4189269 5386203 8378538 10772406 11769851 12567807 16158609 23539702 25135614 32317218 35309553 37703421 48475827 70619106 75406842 82388957 96951654 105928659 113110263 164777914 211857318 226220526 247166871 317785977 339330789 494333742 635571954 678661578 741500613 953357931 1483001226 1906715862 2224501839 2860073793 4449003678 5720147586 6673505517 13347011034 20020516551 40041033102