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2014144461 = 3472683743
BaseRepresentation
bin111100000001101…
…0110011111001101
312012100222010210000
41320003112133031
513111110110321
6531510034513
7100624642200
oct17003263715
95170863700
102014144461
11943a285aa
12482648a39
1326138a474
141516db937
15bbc58826
hex780d67cd

2014144461 has 60 divisors (see below), whose sum is σ = 3509855712. Its totient is φ = 1147707792.

The previous prime is 2014144427. The next prime is 2014144487. The reversal of 2014144461 is 1644414102.

2014144461 is a `hidden beast` number, since 20 + 141 + 44 + 461 = 666.

It is not a de Polignac number, because 2014144461 - 26 = 2014144397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014144061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2710456 + ... + 2711198.

Almost surely, 22014144461 is an apocalyptic number.

2014144461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2014144461 is a deficient number, since it is larger than the sum of its proper divisors (1495711251).

2014144461 is an equidigital number, since it uses as much as digits as its factorization.

2014144461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2014144461 is about 44879.2208154286. The cubic root of 2014144461 is about 1262.8842261051.

Adding to 2014144461 its reverse (1644414102), we get a palindrome (3658558563).

The spelling of 2014144461 in words is "two billion, fourteen million, one hundred forty-four thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 683 743 1323 2049 2229 3969 4781 5201 6147 6687 14343 15603 18441 20061 33467 36407 43029 46809 55323 60183 100401 109221 129087 140427 301203 327663 387261 421281 507469 903609 982989 1522407 2710827 2948967 3552283 4567221 10656849 13701663 24865981 31970547 41104989 74597943 95911641 223793829 287734923 671381487 2014144461