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254134354514131 = 71319773823231041
BaseRepresentation
bin111001110010001001000011…
…111011010001000011010011
31020022211000012010012111200101
4321302021003323101003103
5231302214124223423011
62300255413304233231
7104346413133420640
oct7162110373210323
91208730163174611
10254134354514131
1173a7a857944043
1224604b3516b817
13aba59c787a590
1446a82500b0dc7
151e5a93ee6e2c1
hexe72243ed10d3

254134354514131 has 64 divisors (see below), whose sum is σ = 330070815406080. Its totient is φ = 190012116418560.

The previous prime is 254134354514123. The next prime is 254134354514147. The reversal of 254134354514131 is 131415453431452.

It is not a de Polignac number, because 254134354514131 - 23 = 254134354514123 is a prime.

It is a super-2 number, since 2×2541343545141312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254134354544131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1099837971 + ... + 1100069011.

It is an arithmetic number, because the mean of its divisors is an integer number (5157356490720).

Almost surely, 2254134354514131 is an apocalyptic number.

254134354514131 is a deficient number, since it is larger than the sum of its proper divisors (75936460891949).

254134354514131 is a wasteful number, since it uses less digits than its factorization.

254134354514131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232676.

The product of its digits is 1728000, while the sum is 46.

The spelling of 254134354514131 in words is "two hundred fifty-four trillion, one hundred thirty-four billion, three hundred fifty-four million, five hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 7 13 19 91 133 247 773 823 1729 5411 5761 10049 10699 14687 15637 70343 74893 102809 109459 190931 203281 231041 636179 1336517 1422967 1617287 3003533 4389779 4453253 8270327 12087401 21024731 30728453 57067127 57892289 84611807 157136213 178594693 190146743 399469889 1099953491 1250162851 1331027201 2321731009 2471907659 3393299167 3612788117 16252117063 17303353613 23753094169 25289516819 44112889171 46966245521 146983432339 308790224197 328763718647 1028884026373 1910784620407 2792685214441 13375492342849 19548796501087 36304907787733 254134354514131