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314141023153 = 97137220710711
BaseRepresentation
bin1001001001001000100…
…00111001101110110001
31010000212000202102201101
410210210100321232301
520121330100220103
6400151524204401
731460464432156
oct4444420715661
91100760672641
10314141023153
111112544662a1
1250a71239701
1323814715729
14112c124822d
158288d9ba1d
hex4924439bb1

314141023153 has 16 divisors (see below), whose sum is σ = 319870946304. Its totient is φ = 308464450560.

The previous prime is 314141023123. The next prime is 314141023277. The reversal of 314141023153 is 351320141413.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314141023153 is a prime.

It is a super-2 number, since 2×3141410231532 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314141023123) 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 15 ways as a sum of consecutive naturals, for example, 29323468 + ... + 29334178.

It is an arithmetic number, because the mean of its divisors is an integer number (19991934144).

Almost surely, 2314141023153 is an apocalyptic number.

It is an amenable number.

314141023153 is a deficient number, since it is larger than the sum of its proper divisors (5729923151).

314141023153 is a wasteful number, since it uses less digits than its factorization.

314141023153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 314141023153 its reverse (351320141413), we get a palindrome (665461164566).

The spelling of 314141023153 in words is "three hundred fourteen billion, one hundred forty-one million, twenty-three thousand, one hundred fifty-three".

Divisors: 1 97 137 2207 10711 13289 214079 302359 1038967 1467407 23639177 29328823 142338479 2293000169 3238567249 314141023153