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4316160014231 = 1317293173793767
BaseRepresentation
bin111110110011101111001…
…011110011011110010111
3120021121202121112111201212
4332303233023303132113
51031203443430423411
613102452212212035
7623555316534542
oct76635713633627
916247677474655
104316160014231
11141452289582a
1259860130a01b
132540208a7630
1410cc90787859
157741721b68b
hex3ecef2f3797

4316160014231 has 128 divisors (see below), whose sum is σ = 5396402995200. Its totient is φ = 3411048775680.

The previous prime is 4316160014227. The next prime is 4316160014239. The reversal of 4316160014231 is 1324100616134.

It is a happy number.

It is not a de Polignac number, because 4316160014231 - 22 = 4316160014227 is a prime.

It is a super-3 number, since 3×43161600142313 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4316160014239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1145779910 + ... + 1145783676.

It is an arithmetic number, because the mean of its divisors is an integer number (42159398400).

Almost surely, 24316160014231 is an apocalyptic number.

4316160014231 is a deficient number, since it is larger than the sum of its proper divisors (1080242980969).

4316160014231 is a wasteful number, since it uses less digits than its factorization.

4316160014231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 4316160014231 in words is "four trillion, three hundred sixteen billion, one hundred sixty million, fourteen thousand, two hundred thirty-one".

Divisors: 1 13 17 29 31 73 79 221 377 403 493 527 899 949 1027 1241 1343 2117 2263 2291 2449 3767 5767 6409 6851 11687 15283 16133 17459 27521 29419 29783 31837 35989 38471 38947 41633 48971 64039 65627 71021 74971 98039 109243 116777 167243 178777 198679 274991 297593 467857 500123 506311 541229 832507 853151 923273 1115659 1207357 1274507 1420159 1518101 1857131 1985209 2174159 2324101 2843131 3039209 3386533 3574883 3868709 4674847 5059081 5184533 7974739 8524721 8630197 9225383 14503567 15695641 21724289 24142703 25807717 36960703 39509717 44024929 57571061 60773011 65768053 67398929 88137061 103671607 110821373 112192561 119929979 135570563 144920257 146713349 156831511 247216909 267536107 282415757 369312913 630004381 673452959 748423793 1145781793 1762417319 1883963341 1907273537 2038809643 3213819817 3477969391 4202687453 4548113819 4801067869 8190056953 8754888467 10710074477 11448700303 19530135811 54634936889 59125479647 139230968201 148833103939 253891765543 332012308787 4316160014231