Search a number
-
+
1456210105452 = 2232160725171301
BaseRepresentation
bin10101001100001100111…
…000101101010001101100
312011012201210020000021100
4111030030320231101230
5142324304241333302
63032550152203100
7210131146444344
oct25141470552154
95135653200240
101456210105452
115116367064a3
121b6281999490
13a74211274bb
14506a39dbd24
1527d2cce0d1c
hex1530ce2d46c

1456210105452 has 36 divisors (see below), whose sum is σ = 3683266279056. Its totient is φ = 485101293600.

The previous prime is 1456210105417. The next prime is 1456210105453. The reversal of 1456210105452 is 2545010126541.

1456210105452 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 2 + 101 + 0 + 545 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1456210105453) by changing a digit.

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, 12527799 + ... + 12643502.

It is an arithmetic number, because the mean of its divisors is an integer number (102312952196).

Almost surely, 21456210105452 is an apocalyptic number.

1456210105452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1456210105452 is an abundant number, since it is smaller than the sum of its proper divisors (2227056173604).

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

1456210105452 is a wasteful number, since it uses less digits than its factorization.

1456210105452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25172918 (or 25172913 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 1456210105452 in words is "one trillion, four hundred fifty-six billion, two hundred ten million, one hundred five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1607 3214 4821 6428 9642 14463 19284 28926 57852 25171301 50342602 75513903 100685204 151027806 226541709 302055612 453083418 906166836 40450280707 80900561414 121350842121 161801122828 242701684242 364052526363 485403368484 728105052726 1456210105452