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314344102014114 = 2317371992003208963
BaseRepresentation
bin100011101111001001111000…
…0100010011010110010100010
31112020000000001221112000100220
41013132103300202122302202
5312200203210103422424
63032315404211423510
7123132416613041604
oct10736236042326242
91466000057460326
10314344102014114
1191183648720357
122b309bab8b4b96
13106526a2028ab3
14578a49b2c1174
152651c28ac9579
hex11de4f089aca2

314344102014114 has 128 divisors (see below), whose sum is σ = 687442746009600. Its totient is φ = 95422119496704.

The previous prime is 314344102014109. The next prime is 314344102014127. The reversal of 314344102014114 is 411410201443413.

It is a super-2 number, since 2×3143441020141142 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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, 1504200597 + ... + 1504409559.

It is an arithmetic number, because the mean of its divisors is an integer number (5370646453200).

Almost surely, 2314344102014114 is an apocalyptic number.

314344102014114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

314344102014114 is an abundant number, since it is smaller than the sum of its proper divisors (373098643995486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314344102014114 is a wasteful number, since it uses less digits than its factorization.

314344102014114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211224.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 314344102014114 its reverse (411410201443413), we get a palindrome (725754303457527).

The spelling of 314344102014114 in words is "three hundred fourteen trillion, three hundred forty-four billion, one hundred two million, fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 17 34 37 51 74 102 111 199 222 398 597 629 1194 1258 1887 2003 3383 3774 4006 6009 6766 7363 10149 12018 14726 20298 22089 34051 44178 68102 74111 102153 125171 148222 204306 208963 222333 250342 375513 398597 417926 444666 626889 751026 797194 1195791 1253778 1259887 2391582 2519774 3552371 3779661 6776149 7104742 7559322 7731631 10657113 13552298 14748089 15463262 20328447 21314226 23194893 29496178 40656894 41583637 44244267 46389786 83167274 88488534 124750911 131437727 249501822 250717513 262875454 394313181 418552889 501435026 706921829 752152539 788626362 837105778 1255658667 1413843658 1504305078 1538594569 2120765487 2511317334 3077189138 4241530974 4615783707 7115399113 9231567414 14230798226 15486456893 21346197339 26156107673 30972913786 42692394678 46459370679 52312215346 78468323019 83292024911 92918741358 156936646038 166584049822 249876074733 263269767181 499752149466 526539534362 789809301543 1415964423487 1579618603086 2831928846974 3081804921707 4247893270461 6163609843414 8495786540922 9245414765121 18490829530242 52390683669019 104781367338038 157172051007057 314344102014114