Search a number
-
+
14542254200 = 2352199773917
BaseRepresentation
bin11011000101100100…
…10011000001111000
31101112110211001111102
431202302103001320
5214240304113300
610403002550532
71023241056365
oct154262230170
941473731442
1014542254200
1161927a5901
12299a208448
1314a9a69856
149bd50b46c
155a1a460d5
hex362c93078

14542254200 has 96 divisors (see below), whose sum is σ = 35635777200. Its totient is φ = 5503703040.

The previous prime is 14542254197. The next prime is 14542254241. The reversal of 14542254200 is 245224541.

It is a super-2 number, since 2×145422542002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3710642 + ... + 3714558.

Almost surely, 214542254200 is an apocalyptic number.

14542254200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14542254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17817888600).

14542254200 is an abundant number, since it is smaller than the sum of its proper divisors (21093523000).

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

14542254200 is a wasteful number, since it uses less digits than its factorization.

14542254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 14542254200 its reverse (245224541), we get a palindrome (14787478741).

The spelling of 14542254200 in words is "fourteen billion, five hundred forty-two million, two hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 977 1900 1954 3800 3908 3917 4885 7816 7834 9770 15668 18563 19540 19585 24425 31336 37126 39080 39170 48850 74252 74423 78340 92815 97700 97925 148504 148846 156680 185630 195400 195850 297692 371260 372115 391700 464075 595384 742520 744230 783400 928150 1488460 1856300 1860575 2976920 3712600 3721150 3826909 7442300 7653818 14884600 15307636 19134545 30615272 38269090 72711271 76538180 95672725 145422542 153076360 191345450 290845084 363556355 382690900 581690168 727112710 765381800 1454225420 1817781775 2908450840 3635563550 7271127100 14542254200