Search a number
-
+
151414001005200 = 243524191997150797
BaseRepresentation
bin100010011011010111010001…
…101111100111001010010000
3201212010001000001211100100120
4202123113101233213022100
5124321231333224131300
61254010344244550240
743615205045036523
oct4233272157471220
9655101001740316
10151414001005200
1144277354237a2a
1214b9506a6b2380
13666438204433b
1429566962c0bba
15127895b8203a0
hex89b5d1be7290

151414001005200 has 240 divisors, whose sum is σ = 486433789369920. Its totient is φ = 40260264028160.

The previous prime is 151414001005199. The next prime is 151414001005229. The reversal of 151414001005200 is 2500100414151.

151414001005200 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 (240).

It is a super-2 number, since 2×1514140010052002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004016202 + ... + 1004166998.

It is an arithmetic number, because the mean of its divisors is an integer number (2026807455708).

Almost surely, 2151414001005200 is an apocalyptic number.

151414001005200 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 151414001005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243216894684960).

151414001005200 is an abundant number, since it is smaller than the sum of its proper divisors (335019788364720).

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

151414001005200 is a wasteful number, since it uses less digits than its factorization.

151414001005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153234 (or 153223 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 151414001005200 its reverse (2500100414151), we get a palindrome (153914101419351).

The spelling of 151414001005200 in words is "one hundred fifty-one trillion, four hundred fourteen billion, one million, five thousand, two hundred".