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13442401043115 = 3511613374019883
BaseRepresentation
bin1100001110011100110110…
…0010100000001010101011
31202121002012001010001201120
43003213031202200022223
53230220014131334430
644331204230150323
72555116141413042
oct303471542401253
952532161101646
1013442401043115
114312987a45390
121611288ab23a3
137667c793b685
14346889607559
15184a03747610
hexc39cd8a02ab

13442401043115 has 128 divisors (see below), whose sum is σ = 23980579144704. Its totient is φ = 6375075840000.

The previous prime is 13442401043111. The next prime is 13442401043119. The reversal of 13442401043115 is 51134010424431.

It is an interprime number because it is at equal distance from previous prime (13442401043111) and next prime (13442401043119).

It is not a de Polignac number, because 13442401043115 - 22 = 13442401043111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13442401043111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1360148964 + ... + 1360158846.

It is an arithmetic number, because the mean of its divisors is an integer number (187348274568).

Almost surely, 213442401043115 is an apocalyptic number.

13442401043115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13442401043115 is a deficient number, since it is larger than the sum of its proper divisors (10538178101589).

13442401043115 is a wasteful number, since it uses less digits than its factorization.

13442401043115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10701.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 13442401043115 its reverse (51134010424431), we get a palindrome (64576411467546).

The spelling of 13442401043115 in words is "thirteen trillion, four hundred forty-two billion, four hundred one million, forty-three thousand, one hundred fifteen".

Divisors: 1 3 5 11 15 33 55 61 165 183 305 337 401 671 915 1011 1203 1685 2005 2013 3355 3707 4411 5055 6015 9883 10065 11121 13233 18535 20557 22055 24461 29649 49415 55605 61671 66165 73383 102785 108713 122305 135137 148245 226127 269071 308355 326139 366915 405411 543565 602863 675685 678381 807213 1130635 1345355 1486507 1630695 1808589 2027055 3014315 3330571 3391905 3963083 4036065 4459521 6631493 7432535 8243357 9042945 9991713 11889249 16652855 19815415 19894479 22297605 24730071 33157465 36636281 41216785 43593913 49958565 59446245 90676927 99472395 109908843 123650355 130781739 183181405 203164831 217969565 241748063 272030781 453384635 549544215 609494493 653908695 725244189 1015824155 1208740315 1335558971 1360153905 2234813141 2659228693 3047472465 3626220945 4006676913 6677794855 6704439423 7977686079 11174065705 13296143465 14691148681 20033384565 33522197115 39888430395 44073446043 73455743405 81469097231 220367230215 244407291693 407345486155 896160069541 1222036458465 2688480208623 4480800347705 13442401043115