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1343315515014 = 2331143101520717
BaseRepresentation
bin10011100011000011110…
…110000001011010000110
311202102022222010121022000
4103203003312001122012
5134002102232440024
62505035521250130
7166023416323614
oct23430366013206
94672288117260
101343315515014
11478773651790
12198415793946
139989c031bb5
14490342106b4
1524e21a26cc9
hex138c3d81686

1343315515014 has 128 divisors (see below), whose sum is σ = 3365254632960. Its totient is φ = 393661296000.

The previous prime is 1343315515013. The next prime is 1343315515021. The reversal of 1343315515014 is 4105155133431.

1343315515014 is a `hidden beast` number, since 1 + 3 + 43 + 3 + 1 + 551 + 50 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1343315515014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343315515013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2319384 + ... + 2840100.

It is an arithmetic number, because the mean of its divisors is an integer number (26291051820).

Almost surely, 21343315515014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343315515014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682627316480).

1343315515014 is an abundant number, since it is smaller than the sum of its proper divisors (2021939117946).

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

1343315515014 is a wasteful number, since it uses less digits than its factorization.

1343315515014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520883 (or 520877 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1343315515014 in words is "one trillion, three hundred forty-three billion, three hundred fifteen million, five hundred fifteen thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 101 129 198 202 258 297 303 387 473 594 606 774 909 946 1111 1161 1419 1818 2222 2322 2727 2838 3333 4257 4343 5454 6666 8514 8686 9999 12771 13029 19998 25542 26058 29997 39087 47773 59994 78174 95546 117261 143319 234522 286638 429957 520717 859914 1041434 1289871 1562151 2579742 3124302 4686453 5727887 9372906 11455774 14059359 17183661 22390831 28118718 34367322 44781662 51550983 52592417 67172493 103101966 105184834 134344986 154652949 157777251 201517479 246299141 309305898 315554502 403034958 473331753 492598282 578516587 604552437 738897423 946663506 1157033174 1209104874 1419995259 1477794846 1735549761 2216692269 2261473931 2839990518 3471099522 4433384538 4522947862 5206649283 6650076807 6784421793 10413298566 13300153614 13568843586 15619947849 20353265379 24876213241 31239895698 40706530758 49752426482 61059796137 74628639723 122119592274 149257279446 223885919169 447771838338 671657757507 1343315515014