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13214413130424 = 23311314333729017
BaseRepresentation
bin1100000001001011100001…
…1001101000101010111000
31201210021201011122002202020
43000102320121220222320
53213001104230133144
644034341222034440
72532465322213662
oct300227031505270
951707634562666
1013214413130424
114235223793130
121595060278a20
1374b16307441c
1433981c401532
1517db0d148419
hexc04b8668ab8

13214413130424 has 128 divisors (see below), whose sum is σ = 37287793428480. Its totient is φ = 3866243788800.

The previous prime is 13214413130419. The next prime is 13214413130449. The reversal of 13214413130424 is 42403131441231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1679164 + ... + 5408180.

It is an arithmetic number, because the mean of its divisors is an integer number (291310886160).

Almost surely, 213214413130424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214413130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643896714240).

13214413130424 is an abundant number, since it is smaller than the sum of its proper divisors (24073380298056).

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

13214413130424 is a wasteful number, since it uses less digits than its factorization.

13214413130424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729501 (or 3729497 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13214413130424 its reverse (42403131441231), we get a palindrome (55617544571655).

The spelling of 13214413130424 in words is "thirteen trillion, two hundred fourteen billion, four hundred thirteen million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 433 682 744 866 1023 1299 1364 1732 2046 2598 2728 3464 4092 4763 5196 8184 9526 10392 13423 14289 19052 26846 28578 38104 40269 53692 57156 80538 107384 114312 147653 161076 295306 322152 442959 590612 885918 1181224 1771836 3543672 3729017 7458034 11187051 14916068 22374102 29832136 41019187 44748204 82038374 89496408 115599527 123057561 164076748 231199054 246115122 328153496 346798581 462398108 492230244 693597162 924796216 984460488 1271594797 1387194324 1614664361 2543189594 2774388648 3229328722 3814784391 4843993083 5086379188 6458657444 7629568782 9687986166 10172758376 12917314888 15259137564 17761307971 19375972332 30518275128 35522615942 38751944664 50054595191 53283923913 71045231884 100109190382 106567847826 142090463768 150163785573 200218380764 213135695652 300327571146 400436761528 426271391304 550600547101 600655142292 1101201094202 1201310284584 1651801641303 2202402188404 3303603282606 4404804376808 6607206565212 13214413130424