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14240304213200 = 2452132738520041
BaseRepresentation
bin1100111100111001010001…
…0001100010110011010000
31212102100201021200210210222
43033032110101202303100
53331303120334310300
650141523324212212
72666554004433242
oct317162421426320
955370637623728
1014240304213200
1145a030853679a
12171ba4909a068
137c3b1636a090
1437333d2aa092
1519a6528eb785
hexcf394462cd0

14240304213200 has 60 divisors (see below), whose sum is σ = 36844048645068. Its totient is φ = 5257958476800.

The previous prime is 14240304213197. The next prime is 14240304213277. The reversal of 14240304213200 is 231240304241.

It can be written as a sum of positive squares in 6 ways, for example, as 2048642590864 + 12191661622336 = 1431308^2 + 3491656^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 14240304213200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369254821 + ... + 1369265220.

Almost surely, 214240304213200 is an apocalyptic number.

14240304213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240304213200 is an abundant number, since it is smaller than the sum of its proper divisors (22603744431868).

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

14240304213200 is a wasteful number, since it uses less digits than its factorization.

14240304213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738520072 (or 2738520061 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14240304213200 its reverse (231240304241), we get a palindrome (14471544517441).

The spelling of 14240304213200 in words is "fourteen trillion, two hundred forty billion, three hundred four million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 2738520041 5477040082 10954080164 13692600205 21908160328 27385200410 35600760533 43816320656 54770400820 68463001025 71201521066 109540801640 136926002050 142403042132 178003802665 219081603280 273852004100 284806084264 356007605330 547704008200 569612168528 712015210660 890019013325 1095408016400 1424030421320 1780038026650 2848060842640 3560076053300 7120152106600 14240304213200