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14204054432 = 2523413831229
BaseRepresentation
bin11010011101010000…
…01010101110100000
31100122220102201122002
431032220022232200
5213042214220212
610305242103132
71011663320261
oct151650125640
940586381562
1014204054432
116029900367
122904aaaaa8
131454985749
1498a632968
15581eddac2
hex34ea0aba0

14204054432 has 96 divisors (see below), whose sum is σ = 29994209280. Its totient is φ = 6604871680.

The previous prime is 14204054419. The next prime is 14204054437. The reversal of 14204054432 is 23445040241.

It is a junction number, because it is equal to n+sod(n) for n = 14204054395 and 14204054404.

It is not an unprimeable number, because it can be changed into a prime (14204054437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11556794 + ... + 11558022.

It is an arithmetic number, because the mean of its divisors is an integer number (312439680).

Almost surely, 214204054432 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 14204054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997104640).

14204054432 is an abundant number, since it is smaller than the sum of its proper divisors (15790154848).

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

14204054432 is a wasteful number, since it uses less digits than its factorization.

14204054432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 14204054432 its reverse (23445040241), we get a palindrome (37649094673).

The spelling of 14204054432 in words is "fourteen billion, two hundred four million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 383 656 736 766 943 1229 1312 1532 1886 2458 3064 3772 4916 6128 7544 8809 9832 12256 15088 15703 17618 19664 28267 30176 31406 35236 39328 50389 56534 62812 70472 100778 113068 125624 140944 201556 226136 251248 281888 361169 403112 452272 470707 502496 722338 806224 904544 941414 1158947 1444676 1612448 1882828 2317894 2889352 3765656 4635788 5778704 7531312 9271576 10826261 11557408 15062624 18543152 19298987 21652522 37086304 38597974 43305044 77195948 86610088 154391896 173220176 308783792 346440352 443876701 617567584 887753402 1775506804 3551013608 7102027216 14204054432