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12147044251040 = 255971108370619
BaseRepresentation
bin1011000011000011010001…
…0000011111010110100000
31121000020122101210000100022
42300300310100133112200
53043004121312013130
641500135230413012
72362411036352606
oct260606420372640
947006571700308
1012147044251040
113963594897016
121442218661168
136a15cc7ac25a
142ddcc49a5876
15160e8c29c7e5
hexb0c3441f5a0

12147044251040 has 96 divisors (see below), whose sum is σ = 28996268051520. Its totient is φ = 4808224825344.

The previous prime is 12147044251009. The next prime is 12147044251091. The reversal of 12147044251040 is 4015244074121.

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, 171972851 + ... + 172043469.

It is an arithmetic number, because the mean of its divisors is an integer number (302044458870).

Almost surely, 212147044251040 is an apocalyptic number.

12147044251040 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 12147044251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498134025760).

12147044251040 is an abundant number, since it is smaller than the sum of its proper divisors (16849223800480).

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

12147044251040 is a wasteful number, since it uses less digits than its factorization.

12147044251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81814 (or 81806 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The spelling of 12147044251040 in words is "twelve trillion, one hundred forty-seven billion, forty-four million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7760 11083 15520 22166 44332 55415 70619 88664 110830 141238 177328 221660 282476 353095 354656 443320 564952 706190 886640 1075051 1129904 1412380 1773280 2150102 2259808 2824760 4300204 5375255 5649520 6850043 8600408 10750510 11299040 13700086 17200816 21501020 27400172 34250215 34401632 43002040 54800344 68500430 86004080 109600688 137000860 172008160 219201376 274001720 548003440 782670377 1096006880 1565340754 3130681508 3913351885 6261363016 7826703770 12522726032 15653407540 25045452064 31306815080 62613630160 75919026569 125227260320 151838053138 303676106276 379595132845 607352212552 759190265690 1214704425104 1518380531380 2429408850208 3036761062760 6073522125520 12147044251040