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14204015334 = 23643713191
BaseRepresentation
bin11010011101010000…
…00001001011100110
31100122220100202000000
431032220001023212
5213042211442314
610305241202130
71011663065265
oct151650011346
940586322000
1014204015334
116029883a53
122904a90346
131454970a02
1498a6225dc
15581ed2209
hex34ea012e6

14204015334 has 112 divisors (see below), whose sum is σ = 33158087424. Its totient is φ = 4557999600.

The previous prime is 14204015281. The next prime is 14204015341. The reversal of 14204015334 is 43351040241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14204015298 and 14204015307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4449679 + ... + 4452869.

It is an arithmetic number, because the mean of its divisors is an integer number (296054352).

Almost surely, 214204015334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14204015334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16579043712).

14204015334 is an abundant number, since it is smaller than the sum of its proper divisors (18954072090).

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

14204015334 is an equidigital number, since it uses as much as digits as its factorization.

14204015334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14204015334 its reverse (43351040241), we get a palindrome (57555055575).

The spelling of 14204015334 in words is "fourteen billion, two hundred four million, fifteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 71 81 86 129 142 162 213 243 258 387 426 486 639 729 774 1161 1278 1458 1917 2322 3053 3191 3483 3834 5751 6106 6382 6966 9159 9573 10449 11502 17253 18318 19146 20898 27477 28719 31347 34506 51759 54954 57438 62694 82431 86157 103518 137213 164862 172314 226561 247293 258471 274426 411639 453122 494586 516942 679683 741879 775413 823278 1234917 1359366 1483758 1550826 2039049 2225637 2326239 2469834 3704751 4078098 4451274 4652478 6117147 7409502 9742123 11114253 12234294 18351441 19484246 22228506 29226369 33342759 36702882 55054323 58452738 66685518 87679107 100028277 110108646 165162969 175358214 200056554 263037321 330325938 526074642 789111963 1578223926 2367335889 4734671778 7102007667 14204015334