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1438316066837 = 13171929831011409
BaseRepresentation
bin10100111011100010010…
…100010111100000010101
312002111112201102122221102
4110323202110113200111
5142031132403114322
63020430412555445
7205625545563506
oct24734224274025
95074481378842
101438316066837
11504a93a17431
121b2909182b85
13a582bb46c80
144d8872b4bad
1527631db8792
hex14ee2517815

1438316066837 has 128 divisors (see below), whose sum is σ = 1826629056000. Its totient is φ = 1117244620800.

The previous prime is 1438316066821. The next prime is 1438316066843. The reversal of 1438316066837 is 7386606138341.

It is a cyclic number.

It is not a de Polignac number, because 1438316066837 - 24 = 1438316066821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438316062837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1020805589 + ... + 1020806997.

It is an arithmetic number, because the mean of its divisors is an integer number (14270539500).

Almost surely, 21438316066837 is an apocalyptic number.

1438316066837 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1438316066837 is a deficient number, since it is larger than the sum of its proper divisors (388312989163).

1438316066837 is a wasteful number, since it uses less digits than its factorization.

1438316066837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671.

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 1438316066837 in words is "one trillion, four hundred thirty-eight billion, three hundred sixteen million, sixty-six thousand, eight hundred thirty-seven".

Divisors: 1 13 17 19 29 83 101 221 247 323 377 493 551 1079 1313 1409 1411 1577 1717 1919 2407 2929 4199 6409 7163 8383 9367 18317 18343 20501 22321 23953 24947 26771 26809 31291 32623 38077 40861 40919 45733 49793 55651 108979 116947 121771 142309 142511 159277 243107 311389 348023 348517 424099 455107 531193 531947 594529 647309 694637 723463 776359 777461 946067 1520311 1850017 1852643 1988099 2070601 2221993 2419253 2703871 2707709 3160391 3391463 4126961 4132819 4619033 5916391 9030281 10092667 10106993 11811647 12298871 13198103 25845287 28885909 31450289 35150323 35200217 37773881 44089019 45965807 53650493 53726647 57654871 60047429 64437797 70158337 78412259 78523561 153551411 171575339 200797999 224421293 342537763 491060453 597555491 749513323 837691361 912058381 1019359367 1020806293 1095442549 1333008403 2610373987 2917476809 3815161981 4452990919 5823141971 6508217497 14240753137 17329109239 49597105753 75700845623 84606827461 110639697449 1438316066837