Search a number
-
+
14042550200 = 2352779126967
BaseRepresentation
bin11010001010000000…
…00100111110111000
31100020122112110110212
431011000010332320
5212224343101300
610241232330252
71004662464410
oct150500047670
940218473425
1014042550200
115a56720898
12287a9a3988
13142a389403
14972dd1640
15572c3a935
hex345004fb8

14042550200 has 96 divisors (see below), whose sum is σ = 37785676800. Its totient is φ = 4753607040.

The previous prime is 14042550169. The next prime is 14042550227. The reversal of 14042550200 is 205524041.

It is a happy number.

It is a super-2 number, since 2×140425502002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47117 + ... + 174083.

It is an arithmetic number, because the mean of its divisors is an integer number (393600800).

Almost surely, 214042550200 is an apocalyptic number.

14042550200 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 14042550200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18892838400).

14042550200 is an abundant number, since it is smaller than the sum of its proper divisors (23743126600).

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

14042550200 is a wasteful number, since it uses less digits than its factorization.

14042550200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127069 (or 127060 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The spelling of 14042550200 in words is "fourteen billion, forty-two million, five hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 79 100 140 158 175 200 280 316 350 395 553 632 700 790 1106 1400 1580 1975 2212 2765 3160 3950 4424 5530 7900 11060 13825 15800 22120 27650 55300 110600 126967 253934 507868 634835 888769 1015736 1269670 1777538 2539340 3174175 3555076 4443845 5078680 6348350 7110152 8887690 10030393 12696700 17775380 20060786 22219225 25393400 35550760 40121572 44438450 50151965 70212751 80243144 88876900 100303930 140425502 177753800 200607860 250759825 280851004 351063755 401215720 501519650 561702008 702127510 1003039300 1404255020 1755318775 2006078600 2808510040 3510637550 7021275100 14042550200