Search a number
-
+
2032141041 = 34729831489
BaseRepresentation
bin111100100100000…
…0000001011110001
312020121211110110000
41321020000023301
513130212003131
6533351500213
7101233625310
oct17110001361
95217743400
102032141041
119530aa707
12488687669
1326501ba28
14153c64277
15bd610ce6
hex792002f1

2032141041 has 80 divisors (see below), whose sum is σ = 3634646400. Its totient is φ = 1106929152.

The previous prime is 2032141039. The next prime is 2032141043. The reversal of 2032141041 is 1401412302.

It is an interprime number because it is at equal distance from previous prime (2032141039) and next prime (2032141043).

It is not a de Polignac number, because 2032141041 - 21 = 2032141039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2032141043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1364025 + ... + 1365513.

It is an arithmetic number, because the mean of its divisors is an integer number (45433080).

Almost surely, 22032141041 is an apocalyptic number.

2032141041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2032141041 is a deficient number, since it is larger than the sum of its proper divisors (1602505359).

2032141041 is a wasteful number, since it uses less digits than its factorization.

2032141041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2032141041 is about 45079.2750718110. The cubic root of 2032141041 is about 1266.6344105898.

Adding to 2032141041 its reverse (1401412302), we get a palindrome (3433553343).

The spelling of 2032141041 in words is "two billion, thirty-two million, one hundred forty-one thousand, forty-one".

Divisors: 1 3 7 9 21 27 29 63 81 83 87 189 203 249 261 567 581 609 747 783 1489 1743 1827 2241 2349 2407 4467 5229 5481 6723 7221 10423 13401 15687 16443 16849 21663 31269 40203 43181 47061 50547 64989 93807 120609 123587 129543 151641 194967 281421 302267 370761 388629 454923 844263 865109 906801 1112283 1165887 1364769 2595327 2720403 3336849 3497661 3584023 7785981 8161209 10010547 10752069 23357943 24483627 25088161 32256207 70073829 75264483 96768621 225793449 290305863 677380347 2032141041