Search a number
-
+
13942198000 = 24539771867
BaseRepresentation
bin11001111110000010…
…10000111011110000
31022222122201001010201
430333001100323300
5212023200314000
610223245404544
71002333504403
oct147701207360
938878631121
1013942198000
115a05009795
122851269754
131412651503
1496394bd3a
1556901696a
hex33f050ef0

13942198000 has 80 divisors (see below), whose sum is σ = 34060257504. Its totient is φ = 5519308800.

The previous prime is 13942197989. The next prime is 13942198057. The reversal of 13942198000 is 89124931.

13942198000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158067 + ... + 229933.

Almost surely, 213942198000 is an apocalyptic number.

13942198000 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 13942198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17030128752).

13942198000 is an abundant number, since it is smaller than the sum of its proper divisors (20118059504).

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

13942198000 is an equidigital number, since it uses as much as digits as its factorization.

13942198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71987 (or 71971 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 13942198000 in words is "thirteen billion, nine hundred forty-two million, one hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1552 1940 2000 2425 3880 4850 7760 9700 12125 19400 24250 38800 48500 71867 97000 143734 194000 287468 359335 574936 718670 1149872 1437340 1796675 2874680 3593350 5749360 6971099 7186700 8983375 13942198 14373400 17966750 27884396 28746800 34855495 35933500 55768792 69710990 71867000 111537584 139421980 143734000 174277475 278843960 348554950 557687920 697109900 871387375 1394219800 1742774750 2788439600 3485549500 6971099000 13942198000