Search a number
-
+
1414845753800 = 235210170041869
BaseRepresentation
bin10100100101101011011…
…000001110100111001000
312000020222000220020011012
4110211223120032213020
5141140101003110200
63001545434423052
7204135124323053
oct24455330164710
95006860806135
101414845753800
114a603a5a7906
121aa258b91a88
13a355b4c838b
144c69c15ba9a
1526c0b656a35
hex1496b60e9c8

1414845753800 has 48 divisors (see below), whose sum is σ = 3322085894100. Its totient is φ = 560334944000.

The previous prime is 1414845753781. The next prime is 1414845753833. The reversal of 1414845753800 is 83575484141.

It can be written as a sum of positive squares in 6 ways, for example, as 1312083193444 + 102762560356 = 1145462^2 + 320566^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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 11 ways as a sum of consecutive naturals, for example, 35000735 + ... + 35041134.

Almost surely, 21414845753800 is an apocalyptic number.

1414845753800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414845753800 is an abundant number, since it is smaller than the sum of its proper divisors (1907240140300).

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

1414845753800 is a wasteful number, since it uses less digits than its factorization.

1414845753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70041986 (or 70041977 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The spelling of 1414845753800 in words is "one trillion, four hundred fourteen billion, eight hundred forty-five million, seven hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 70041869 140083738 280167476 350209345 560334952 700418690 1400837380 1751046725 2801674760 3502093450 7004186900 7074228769 14008373800 14148457538 28296915076 35371143845 56593830152 70742287690 141484575380 176855719225 282969150760 353711438450 707422876900 1414845753800