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3790400141 = 112160919469
BaseRepresentation
bin1110000111101100…
…1110101010001101
3100210011022021111102
43201323032222031
530230320301031
61424041232445
7162633604163
oct34173165215
910704267442
103790400141
111675644800
12899492725
13485385a28
1427d593233
15172b717cb
hexe1ecea8d

3790400141 has 12 divisors (see below), whose sum is σ = 4169111100. Its totient is φ = 3443499840.

The previous prime is 3790400129. The next prime is 3790400197. The reversal of 3790400141 is 1410040973.

It can be written as a sum of positive squares in 2 ways, for example, as 2804126116 + 986274025 = 52954^2 + 31405^2 .

It is not a de Polignac number, because 3790400141 - 210 = 3790399117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3790400941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184955 + ... + 204423.

It is an arithmetic number, because the mean of its divisors is an integer number (347425925).

Almost surely, 23790400141 is an apocalyptic number.

It is an amenable number.

3790400141 is a deficient number, since it is larger than the sum of its proper divisors (378710959).

3790400141 is a wasteful number, since it uses less digits than its factorization.

3790400141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21100 (or 21089 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 3790400141 is about 61566.2256517321. The cubic root of 3790400141 is about 1559.1755644028.

The spelling of 3790400141 in words is "three billion, seven hundred ninety million, four hundred thousand, one hundred forty-one".

Divisors: 1 11 121 1609 17699 19469 194689 214159 2355749 31325621 344581831 3790400141