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311440102431012 = 223312593064374747
BaseRepresentation
bin100011011010000001100110…
…0101011001001100100100100
31111211201101100012222012121000
41012310003030223021210210
5311310113312210243022
63022213335150153300
7122412543032624052
oct10664031453114444
91454641305865530
10311440102431012
11902640076607a5
122ab1b2181b2830
13104a18a2501909
1456c9ad21a31d2
1526014123cd6ac
hex11b40ccac9924

311440102431012 has 96 divisors (see below), whose sum is σ = 808115816793600. Its totient is φ = 103726137616416.

The previous prime is 311440102430983. The next prime is 311440102431019. The reversal of 311440102431012 is 210134201044113.

It is a happy number.

311440102431012 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 401 + 0 + 243 + 1 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (311440102431019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4166552623 + ... + 4166627369.

It is an arithmetic number, because the mean of its divisors is an integer number (8417873091600).

Almost surely, 2311440102431012 is an apocalyptic number.

It is an amenable number.

311440102431012 is an abundant number, since it is smaller than the sum of its proper divisors (496675714362588).

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

311440102431012 is a wasteful number, since it uses less digits than its factorization.

311440102431012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106662 (or 106654 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 311440102431012 its reverse (210134201044113), we get a palindrome (521574303475125).

The spelling of 311440102431012 in words is "three hundred eleven trillion, four hundred forty billion, one hundred two million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1259 2518 3777 5036 7554 11331 15108 22662 30643 33993 45324 61286 67986 74747 91929 122572 135972 149494 183858 224241 275787 298988 367716 448482 551574 672723 827361 896964 1103148 1345446 1654722 2018169 2690892 3309444 4036338 8072676 38579537 77159074 94106473 115738611 154318148 188212946 231477222 282319419 347215833 376425892 462954444 564638838 694431666 846958257 1041647499 1129277676 1388863332 1693916514 2083294998 2290472321 2540874771 3387833028 4166589996 4580944642 5081749542 6871416963 9161889284 10163499084 13742833926 20614250889 27485667852 41228501778 61842752667 82457003556 123685505334 247371010668 2883704652139 5767409304278 8651113956417 11534818608556 17302227912834 25953341869251 34604455825668 51906683738502 77860025607753 103813367477004 155720051215506 311440102431012