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2014213322424 = 2331931839169831
BaseRepresentation
bin11101010011111000011…
…110000011011010111000
321010120000222201102220010
4131103320132003122320
5231000102102304144
64141152233501520
7265344040515612
oct35237036033270
97116028642803
102014213322424
1170724aa01346
1228644bb718a0
13117c2a113424
146d6ba415db2
15375dabec5b9
hex1d4f87836b8

2014213322424 has 128 divisors (see below), whose sum is σ = 5478100992000. Its totient is φ = 614811772800.

The previous prime is 2014213322423. The next prime is 2014213322437. The reversal of 2014213322424 is 4242233124102.

It is a junction number, because it is equal to n+sod(n) for n = 2014213322391 and 2014213322400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014213322423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11775189 + ... + 11945019.

It is an arithmetic number, because the mean of its divisors is an integer number (42797664000).

Almost surely, 22014213322424 is an apocalyptic number.

2014213322424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014213322424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739050496000).

2014213322424 is an abundant number, since it is smaller than the sum of its proper divisors (3463887669576).

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

2014213322424 is a wasteful number, since it uses less digits than its factorization.

2014213322424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170729 (or 170725 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2014213322424 its reverse (4242233124102), we get a palindrome (6256446446526).

The spelling of 2014213322424 in words is "two trillion, fourteen billion, two hundred thirteen million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 839 1178 1678 1767 2356 2517 3356 3534 4712 5034 6712 7068 10068 14136 15941 20136 26009 31882 47823 52018 63764 78027 95646 104036 127528 156054 169831 191292 208072 312108 339662 382584 494171 509493 624216 679324 988342 1018986 1358648 1482513 1976684 2037972 2965026 3226789 3953368 4075944 5264761 5930052 6453578 9680367 10529522 11860104 12907156 15794283 19360734 21059044 25814312 31588566 38721468 42118088 63177132 77442936 100030459 126354264 142488209 200060918 284976418 300091377 400121836 427464627 569952836 600182754 800243672 854929254 1139905672 1200365508 1709858508 2400731016 2707275971 3419717016 4417134479 5414551942 8121827913 8834268958 10829103884 13251403437 16243655826 17668537916 21658207768 26502806874 32487311652 35337075832 53005613748 64974623304 83925555101 106011227496 167851110202 251776665303 335702220404 503553330606 671404440808 1007106661212 2014213322424