Search a number
-
+
14554552151300 = 22527315417123817
BaseRepresentation
bin1101001111001011111011…
…1010010010110100000100
31220112101211202122002021012
43103302332322102310010
53401430210322320200
650542134032141352
73031350241021010
oct323627672226404
956471752562235
1014554552151300
114701607286847
12177092a097858
13817646c77895
143846307c5540
151a38e5d66a35
hexd3cbee92d04

14554552151300 has 144 divisors (see below), whose sum is σ = 37266832770048. Its totient is φ = 4828229683200.

The previous prime is 14554552151261. The next prime is 14554552151303. The reversal of 14554552151300 is 315125545541.

It is a super-2 number, since 2×145545521513002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14554552151303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117486992 + ... + 117610808.

It is an arithmetic number, because the mean of its divisors is an integer number (258797449792).

Almost surely, 214554552151300 is an apocalyptic number.

14554552151300 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 14554552151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633416385024).

14554552151300 is an abundant number, since it is smaller than the sum of its proper divisors (22712280618748).

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

14554552151300 is a wasteful number, since it uses less digits than its factorization.

14554552151300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129286 (or 129279 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 41.

Adding to 14554552151300 its reverse (315125545541), we get a palindrome (14869677696841).

The spelling of 14554552151300 in words is "fourteen trillion, five hundred fifty-four billion, five hundred fifty-two million, one hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5417 5425 10834 10850 21668 21700 27085 37919 54170 75838 108340 123817 135425 151676 167927 189595 247634 270850 335854 379190 495268 541700 619085 671708 758380 839635 866719 947975 1175489 1238170 1679270 1733438 1895950 2350978 2476340 3095425 3358540 3466876 3791900 3838327 4198175 4333595 4701956 5877445 6190850 7676654 8396350 8667190 11754890 12381700 15353308 16792700 17334380 19191635 21667975 23509780 26868289 29387225 38383270 43335950 53736578 58774450 76766540 86671900 95958175 107473156 117548900 134341445 191916350 268682890 383832700 537365780 670716689 671707225 1341433378 1343414450 2682866756 2686828900 3353583445 4695016823 6707166890 9390033646 13414333780 16767917225 18780067292 20792217359 23475084115 33535834450 41584434718 46950168230 67071668900 83168869436 93900336460 103961086795 117375420575 145545521513 207922173590 234750841150 291091043026 415844347180 469501682300 519805433975 582182086052 727727607565 1039610867950 1455455215130 2079221735900 2910910430260 3638638037825 7277276075650 14554552151300