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31243321340145 = 345798335333329
BaseRepresentation
bin1110001101010011001110…
…00100011111000011110001
311002121211110210010222010000
413012221213010133003301
513043342310230341040
6150240552250300213
76403153425405405
oct706514704370361
9132554423128100
1031243321340145
119a562444261a2
1236071b9127669
131458303c20c25
147a0283215105
15392a9cd67130
hex1c6a6711f0f1

31243321340145 has 160 divisors (see below), whose sum is σ = 57563139110400. Its totient is φ = 16207428796416.

The previous prime is 31243321340137. The next prime is 31243321340177. The reversal of 31243321340145 is 54104312334213.

31243321340145 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 33 + 213 + 401 + 4 + 5 = 666.

It is not a de Polignac number, because 31243321340145 - 23 = 31243321340137 is a prime.

It is a super-2 number, since 2×312433213401452 (a number of 28 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 159 ways as a sum of consecutive naturals, for example, 937404841 + ... + 937438169.

It is an arithmetic number, because the mean of its divisors is an integer number (359769619440).

Almost surely, 231243321340145 is an apocalyptic number.

It is an amenable number.

31243321340145 is a deficient number, since it is larger than the sum of its proper divisors (26319817770255).

31243321340145 is a wasteful number, since it uses less digits than its factorization.

31243321340145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33861 (or 33852 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 31243321340145 its reverse (54104312334213), we get a palindrome (85347633674358).

The spelling of 31243321340145 in words is "thirty-one trillion, two hundred forty-three billion, three hundred twenty-one million, three hundred forty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 79 81 83 135 237 249 353 395 405 415 711 747 1059 1185 1245 1765 2133 2241 3177 3555 3735 5295 6399 6557 6723 9531 10665 11205 15885 19671 27887 28593 29299 31995 32785 33329 33615 47655 59013 83661 87897 98355 99987 139435 142965 146495 166645 177039 250983 263691 295065 299961 418305 439485 499935 531117 752949 791073 885195 899883 1254915 1318455 1499805 2258847 2314621 2373219 2632991 2655585 2699649 2766307 3764745 3955365 4499415 6943863 7898973 8298921 11294235 11573105 11765137 11866095 13164955 13498245 13831535 20831589 23696919 24896763 34719315 35295411 39494865 41494605 58825685 62494767 71090757 74690289 104157945 105886233 118484595 124483815 176477055 187484301 213272271 218538253 224070867 312473835 317658699 355453785 373451445 529431165 655614759 929445823 937421505 952976097 976506371 1066361355 1092691265 1120354335 1588293495 1966844277 2788337469 2929519113 3278073795 4647229115 4764880485 4882531855 5900532831 8365012407 8788557339 9834221385 13941687345 14647595565 17701598493 25095037221 26365672017 29502664155 41825062035 43942786695 75285111663 77144003309 79097016051 88507992465 125475186105 131828360085 231432009927 376425558315 385720016545 395485080255 694296029781 1157160049635 2082888089343 3471480148905 6248664268029 10414440446715 31243321340145