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3324340411314 = 2313197140178787
BaseRepresentation
bin110000011000000010001…
…000010001101110110010
3102202210200222222022102120
4300120002020101232302
5413431222121130224
611023103024055110
7462114153156636
oct60300210215662
912683628868376
103324340411314
11107193255128a
12458342a64496
131b163a334750
14b6c82966dc6
155b718c36779
hex30602211bb2

3324340411314 has 128 divisors (see below), whose sum is σ = 7662277969920. Its totient is φ = 952995456000.

The previous prime is 3324340411297. The next prime is 3324340411393. The reversal of 3324340411314 is 4131140434233.

It is a super-2 number, since 2×33243404113142 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42154629 + ... + 42233415.

It is an arithmetic number, because the mean of its divisors is an integer number (59861546640).

Almost surely, 23324340411314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3324340411314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831138984960).

3324340411314 is an abundant number, since it is smaller than the sum of its proper divisors (4337937558606).

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

3324340411314 is a wasteful number, since it uses less digits than its factorization.

3324340411314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79296.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 3324340411314 its reverse (4131140434233), we get a palindrome (7455480845547).

The spelling of 3324340411314 in words is "three trillion, three hundred twenty-four billion, three hundred forty million, four hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 71 78 114 142 213 247 401 426 494 741 802 923 1203 1349 1482 1846 2406 2698 2769 4047 5213 5538 7619 8094 10426 15238 15639 17537 22857 28471 31278 35074 45714 52611 56942 78787 85413 99047 105222 157574 170826 198094 236361 297141 370123 472722 540949 594282 740246 1024231 1081898 1110369 1496953 1622847 2048462 2220738 2993906 3072693 3245694 4490859 5593877 6145386 7032337 8981718 11187754 14064674 16781631 19460389 21097011 31593587 33563262 38920778 42194022 58381167 63187174 72720401 94780761 106283663 116762334 145440802 189561522 212567326 218161203 318850989 410716631 436322406 600278153 637701978 821433262 1200556306 1232149893 1381687619 1800834459 2243144677 2464299786 2763375238 3601668918 4145062857 4486289354 6729434031 7803615989 8290125714 13458868062 15607231978 23410847967 29160880801 42619748863 46821695934 58321761602 85239497726 87482642403 127859246589 174965284806 255718493178 554056735219 1108113470438 1662170205657 3324340411314