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14250553728 = 2731511791373
BaseRepresentation
bin11010100010110011…
…00011000110000000
31100210010221010200020
431101121203012000
5213141120204403
610314022453440
71013066464605
oct152131430600
940703833606
1014250553728
11605307aa34
122918594280
1314614b6618
149928986ac
15586126453
hex351663180

14250553728 has 128 divisors (see below), whose sum is σ = 38344492800. Its totient is φ = 4688947200.

The previous prime is 14250553727. The next prime is 14250553741. The reversal of 14250553728 is 82735505241.

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

It is a super-2 number, since 2×142505537282 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14250553728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250553727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10378450 + ... + 10379822.

It is an arithmetic number, because the mean of its divisors is an integer number (299566350).

Almost surely, 214250553728 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 14250553728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19172246400).

14250553728 is an abundant number, since it is smaller than the sum of its proper divisors (24093939072).

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

14250553728 is a wasteful number, since it uses less digits than its factorization.

14250553728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 14250553728 in words is "fourteen billion, two hundred fifty million, five hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 179 192 302 358 384 453 537 604 716 906 1074 1208 1373 1432 1812 2148 2416 2746 2864 3624 4119 4296 4832 5492 5728 7248 8238 8592 9664 10984 11456 14496 16476 17184 19328 21968 22912 27029 28992 32952 34368 43936 54058 57984 65904 68736 81087 87872 108116 131808 162174 175744 207323 216232 245767 263616 324348 414646 432464 491534 527232 621969 648696 737301 829292 864928 983068 1243938 1297392 1474602 1658584 1729856 1966136 2487876 2594784 2949204 3317168 3459712 3932272 4975752 5189568 5898408 6634336 7864544 9951504 10379136 11796816 13268672 15729088 19903008 23593632 26537344 31458176 37110817 39806016 47187264 74221634 79612032 94374528 111332451 148443268 222664902 296886536 445329804 593773072 890659608 1187546144 1781319216 2375092288 3562638432 4750184576 7125276864 14250553728