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14444422001300 = 22526114591622987
BaseRepresentation
bin1101001000110001101010…
…1001000111001010010100
31220010212120121022210122202
43102030122221013022110
53343124134013020200
650415401552544032
73020401146133334
oct322143251071224
956125517283582
1014444422001300
114669932722055
121753513852018
1380a14580bb55
1437d1842030c4
151a0aec6111d5
hexd231aa47294

14444422001300 has 72 divisors (see below), whose sum is σ = 31880093605920. Its totient is φ = 5679152611200.

The previous prime is 14444422001279. The next prime is 14444422001341. The reversal of 14444422001300 is 310022444441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8088407 + ... + 9711393.

It is an arithmetic number, because the mean of its divisors is an integer number (442779077860).

Almost surely, 214444422001300 is an apocalyptic number.

14444422001300 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 14444422001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15940046802960).

14444422001300 is an abundant number, since it is smaller than the sum of its proper divisors (17435671604620).

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

14444422001300 is a wasteful number, since it uses less digits than its factorization.

14444422001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624521 (or 1624514 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 14444422001300 its reverse (310022444441), we get a palindrome (14754444445741).

The spelling of 14444422001300 in words is "fourteen trillion, four hundred forty-four billion, four hundred twenty-two million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1459 1525 2918 3050 5836 6100 7295 14590 29180 36475 72950 88999 145900 177998 355996 444995 889990 1622987 1779980 2224975 3245974 4449950 6491948 8114935 8899900 16229870 32459740 40574675 81149350 99002207 162298700 198004414 396008828 495011035 990022070 1980044140 2367938033 2475055175 4735876066 4950110350 9471752132 9900220700 11839690165 23679380330 47358760660 59198450825 118396901650 144444220013 236793803300 288888440026 577776880052 722221100065 1444442200130 2888884400260 3611105500325 7222211000650 14444422001300