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14000221312 = 277113174481
BaseRepresentation
bin11010000100111101…
…00110110010000000
31100010200212221011021
431002132212302000
5212133024040222
610233121155224
71003636626520
oct150236466200
940120787137
1014000221312
115a3483a540
12286878bb14
13142168882c
1496b533680
1556e178ac7
hex3427a6c80

14000221312 has 128 divisors (see below), whose sum is σ = 34890756480. Its totient is φ = 5436211200.

The previous prime is 14000221237. The next prime is 14000221373. The reversal of 14000221312 is 21312200041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3122112 + ... + 3126592.

It is an arithmetic number, because the mean of its divisors is an integer number (272584035).

Almost surely, 214000221312 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 14000221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17445378240).

14000221312 is an abundant number, since it is smaller than the sum of its proper divisors (20890535168).

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

14000221312 is a wasteful number, since it uses less digits than its factorization.

14000221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14000221312 its reverse (21312200041), we get a palindrome (35312421353).

The spelling of 14000221312 in words is "fourteen billion, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 317 352 448 616 634 704 896 1232 1268 1408 2219 2464 2536 3487 4438 4481 4928 5072 6974 8876 8962 9856 10144 13948 17752 17924 20288 24409 27896 31367 35504 35848 40576 48818 49291 55792 62734 71008 71696 97636 98582 111584 125468 142016 143392 195272 197164 223168 250936 284032 286784 345037 390544 394328 446336 501872 573568 690074 781088 788656 1003744 1380148 1420477 1562176 1577312 2007488 2760296 2840954 3124352 3154624 4014976 5520592 5681908 6309248 9943339 11041184 11363816 15625247 19886678 22082368 22727632 31250494 39773356 44164736 45455264 62500988 79546712 90910528 109376729 125001976 159093424 181821056 218753458 250003952 318186848 437506916 500007904 636373696 875013832 1000015808 1272747392 1750027664 2000031616 3500055328 7000110656 14000221312