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14340344312 = 237331263641
BaseRepresentation
bin11010101101100000…
…00100100111111000
31101000101212222012102
431112300010213320
5213332112004222
610330551202532
71015236626000
oct152660044770
941011788172
1014340344312
116099828a28
122942676448
131476c94148
149a078d000
1558de60d92
hex356c049f8

14340344312 has 128 divisors (see below), whose sum is σ = 32541696000. Its totient is φ = 5915750400.

The previous prime is 14340344311. The next prime is 14340344401. The reversal of 14340344312 is 21344304341.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340344311) 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, 22371512 + ... + 22372152.

It is an arithmetic number, because the mean of its divisors is an integer number (254232000).

Almost surely, 214340344312 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 14340344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270848000).

14340344312 is an abundant number, since it is smaller than the sum of its proper divisors (18201351688).

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

14340344312 is a wasteful number, since it uses less digits than its factorization.

14340344312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 14340344312 its reverse (21344304341), we get a palindrome (35684648653).

The spelling of 14340344312 in words is "fourteen billion, three hundred forty million, three hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 263 343 392 434 526 641 686 868 1052 1282 1372 1519 1736 1841 2104 2564 2744 3038 3682 4487 5128 6076 7364 8153 8974 10633 12152 12887 14728 16306 17948 19871 21266 25774 31409 32612 35896 39742 42532 51548 57071 62818 65224 79484 85064 90209 103096 114142 125636 139097 158968 168583 180418 219863 228284 251272 278194 337166 360836 399497 439726 456568 556388 674332 721672 798994 879452 973679 1112776 1180081 1348664 1597988 1758904 1947358 2360162 2796479 3195976 3894716 4720324 5226073 5592958 6815753 7789432 8260567 9440648 10452146 11185916 13631506 16521134 20904292 22371832 27263012 33042268 36582511 41808584 54526024 57823969 66084536 73165022 115647938 146330044 231295876 256077577 292660088 462591752 512155154 1024310308 1792543039 2048620616 3585086078 7170172156 14340344312