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13214142344 = 23131923479607
BaseRepresentation
bin11000100111001111…
…11100111110001000
31021002220201222112102
430103213330332020
5204030310023334
610023120532532
7645313233224
oct142347747610
937086658472
1013214142344
1156710477a7
122689481148
13132786b150
148d4d8d784
1552515167e
hex3139fcf88

13214142344 has 128 divisors (see below), whose sum is σ = 29417472000. Its totient is φ = 5506009344.

The previous prime is 13214142323. The next prime is 13214142419. The reversal of 13214142344 is 44324141231.

It is a super-2 number, since 2×132141423442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21769289 + ... + 21769895.

It is an arithmetic number, because the mean of its divisors is an integer number (229824000).

Almost surely, 213214142344 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 13214142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708736000).

13214142344 is an abundant number, since it is smaller than the sum of its proper divisors (16203329656).

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

13214142344 is a wasteful number, since it uses less digits than its factorization.

13214142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1143 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 13214142344 its reverse (44324141231), we get a palindrome (57538283575).

The spelling of 13214142344 in words is "thirteen billion, two hundred fourteen million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 184 247 299 437 479 494 598 607 874 958 988 1196 1214 1748 1916 1976 2392 2428 3496 3832 4856 5681 6227 7891 9101 11017 11362 11533 12454 13961 15782 18202 22034 22724 23066 24908 27922 31564 36404 44068 45448 46132 49816 55844 63128 72808 88136 92264 111688 118313 143221 149929 181493 209323 236626 265259 286442 290753 299858 362986 418646 473252 530518 572884 581506 599716 725972 837292 946504 1061036 1145768 1163012 1199432 1451944 1674584 2122072 2326024 2721199 3448367 3779789 5442398 5524307 6687319 6896734 7559578 10884796 11048614 13374638 13793468 15119156 21769592 22097228 26749276 27586936 30238312 44194456 53498552 71815991 86935147 127059061 143631982 173870294 254118122 287263964 347740588 508236244 574527928 695481176 1016472488 1651767793 3303535586 6607071172 13214142344