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1014441141 = 37192987671
BaseRepresentation
bin111100011101110…
…010010010110101
32121200211221122010
4330131302102311
54034144104031
6244354554433
734065415230
oct7435622265
92550757563
101014441141
1148069770a
12243898a19
1313222533c
1498a2a417
155e0d5246
hex3c7724b5

1014441141 has 32 divisors (see below), whose sum is σ = 1683302400. Its totient is φ = 530228160.

The previous prime is 1014441101. The next prime is 1014441161. The reversal of 1014441141 is 1411444101.

It is not a de Polignac number, because 1014441141 - 211 = 1014439093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014441101) 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 31 ways as a sum of consecutive naturals, for example, 32265 + ... + 55406.

It is an arithmetic number, because the mean of its divisors is an integer number (52603200).

Almost surely, 21014441141 is an apocalyptic number.

It is an amenable number.

1014441141 is a deficient number, since it is larger than the sum of its proper divisors (668861259).

1014441141 is a wasteful number, since it uses less digits than its factorization.

1014441141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87729.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1014441141 is about 31850.2926360183. The cubic root of 1014441141 is about 1004.7907259607.

Adding to 1014441141 its reverse (1411444101), we get a palindrome (2425885242).

The spelling of 1014441141 in words is "one billion, fourteen million, four hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 7 19 21 29 57 87 133 203 399 551 609 1653 3857 11571 87671 263013 613697 1665749 1841091 2542459 4997247 7627377 11660243 17797213 34980729 48306721 53391639 144920163 338147047 1014441141