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14530112000 = 2953239871
BaseRepresentation
bin11011000100000111…
…11110101000000000
31101111121222011112022
431202003332220000
5214224202041000
610401450421012
71023032625365
oct154203765000
941447864468
1014530112000
116186962228
122996131768
1314a73a7c11
149bba6a46c
155a0948585
hex3620fea00

14530112000 has 160 divisors (see below), whose sum is σ = 37810865664. Its totient is φ = 5558784000.

The previous prime is 14530111991. The next prime is 14530112017. The reversal of 14530112000 is 21103541.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×145301120002 (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 14530112000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467065 + ... + 1476935.

Almost surely, 214530112000 is an apocalyptic number.

14530112000 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 14530112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905432832).

14530112000 is an abundant number, since it is smaller than the sum of its proper divisors (23280753664).

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

14530112000 is an frugal number, since it uses more digits than its factorization.

14530112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9927 (or 9901 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 14530112000 its reverse (21103541), we get a palindrome (14551215541).

The spelling of 14530112000 in words is "fourteen billion, five hundred thirty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 512 575 640 736 800 920 1000 1150 1280 1472 1600 1840 2000 2300 2560 2875 2944 3200 3680 4000 4600 5750 5888 6400 7360 8000 9200 9871 11500 11776 12800 14720 16000 18400 19742 23000 29440 32000 36800 39484 46000 49355 58880 64000 73600 78968 92000 98710 147200 157936 184000 197420 227033 246775 294400 315872 368000 394840 454066 493550 631744 736000 789680 908132 987100 1135165 1233875 1263488 1472000 1579360 1816264 1974200 2270330 2467750 2526976 3158720 3632528 3948400 4540660 4935500 5053952 5675825 6317440 7265056 7896800 9081320 9871000 11351650 12634880 14530112 15793600 18162640 19742000 22703300 25269760 28379125 29060224 31587200 36325280 39484000 45406600 56758250 58120448 63174400 72650560 78968000 90813200 113516500 116240896 126348800 145301120 157936000 181626400 227033000 290602240 315872000 363252800 454066000 581204480 631744000 726505600 908132000 1453011200 1816264000 2906022400 3632528000 7265056000 14530112000