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5141145141 = 331143140163
BaseRepresentation
bin1001100100110111…
…11010011000110101
3111021021222020022000
410302123322120311
541012113121031
62210052325513
7241255004226
oct46233723065
914237866260
105141145141
1121a9051490
12bb5913899
1363c17a222
1436ab2324d
152015373e6
hex1326fa635

5141145141 has 32 divisors (see below), whose sum is σ = 8328407040. Its totient is φ = 3108538800.

The previous prime is 5141145101. The next prime is 5141145157. The reversal of 5141145141 is 1415411415.

It is a happy number.

5141145141 is a `hidden beast` number, since 5 + 141 + 1 + 4 + 514 + 1 = 666.

It is not a de Polignac number, because 5141145141 - 214 = 5141128757 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141145101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107926 + ... + 148088.

It is an arithmetic number, because the mean of its divisors is an integer number (260262720).

Almost surely, 25141145141 is an apocalyptic number.

It is an amenable number.

5141145141 is a deficient number, since it is larger than the sum of its proper divisors (3187261899).

5141145141 is a wasteful number, since it uses less digits than its factorization.

5141145141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40614 (or 40608 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 5141145141 is about 71701.7792038663. The cubic root of 5141145141 is about 1725.9171923883.

Adding to 5141145141 its reverse (1415411415), we get a palindrome (6556556556).

The spelling of 5141145141 in words is "five billion, one hundred forty-one million, one hundred forty-five thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 431 1293 3879 4741 11637 14223 40163 42669 120489 128007 361467 441793 1084401 1325379 3976137 11928411 17310253 51930759 155792277 190412783 467376831 571238349 1713715047 5141145141