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311440304323421 = 721373140916012969
BaseRepresentation
bin100011011010000001101100…
…0101101010011101101011101
31111211201101212021212101220122
41012310003120231103231131
5311310114220401322141
63022213411201324325
7122412551033652500
oct10664033055235535
91454641767771818
10311440304323421
1190264100616529
122ab1b2739366a5
13104a190529c390
1456c9b10d19137
152601424ead64b
hex11b40d8b53b5d

311440304323421 has 96 divisors (see below), whose sum is σ = 396161880760800. Its totient is φ = 242632831795200.

The previous prime is 311440304323403. The next prime is 311440304323451. The reversal of 311440304323421 is 124323403044113.

It can be written as a sum of positive squares in 16 ways, for example, as 183869830339321 + 127570473984100 = 13559861^2 + 11294710^2 .

It is a de Polignac number, because none of the positive numbers 2k-311440304323421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311440304323451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104897372825 + ... + 104897375793.

It is an arithmetic number, because the mean of its divisors is an integer number (4126686257925).

Almost surely, 2311440304323421 is an apocalyptic number.

It is an amenable number.

311440304323421 is a deficient number, since it is larger than the sum of its proper divisors (84721576437379).

311440304323421 is a wasteful number, since it uses less digits than its factorization.

311440304323421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 311440304323421 its reverse (124323403044113), we get a palindrome (435763707367534).

The spelling of 311440304323421 in words is "three hundred eleven trillion, four hundred forty billion, three hundred four million, three hundred twenty-three thousand, four hundred twenty-one".

Divisors: 1 7 13 49 73 91 511 637 949 1409 1601 2969 3577 6643 9863 11207 18317 20783 20813 38597 46501 69041 78449 102857 116873 128219 145481 145691 216737 270179 719999 818111 897533 1019837 1337141 1517159 1519349 1891253 2255809 2817581 4183321 4753369 5039993 5726777 9359987 10620113 10635443 15790663 19723067 29283247 29325517 33273583 54383173 61793797 65519909 74448101 110534641 138061469 164674057 204982729 205278619 232915081 305382433 346995937 380682211 432556579 1152718399 1436950333 2137677031 2140762741 2428971559 2664775477 3027896053 3969971629 4510947181 6697496921 8069028793 14963739217 14985339187 17002800913 27789801403 31576630267 46882478447 87067459973 104897374309 194528609821 221036411869 328177349129 488917275233 609472219811 3422420926631 4266305538677 6355924578029 23956946486417 44491472046203 311440304323421