Search a number
-
+
1431044120 = 2351116271999
BaseRepresentation
bin101010101001100…
…0000000000011000
310200201202120111002
41111103000000120
510412321402440
6354000124132
750314450202
oct12523000030
93621676432
101431044120
116748726a0
1233b306648
1319a62aa8c
14d80b3772
1585978115
hex554c0018

1431044120 has 64 divisors (see below), whose sum is σ = 3516480000. Its totient is φ = 519799680.

The previous prime is 1431044117. The next prime is 1431044123. The reversal of 1431044120 is 214401341.

It is an interprime number because it is at equal distance from previous prime (1431044117) and next prime (1431044123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1431044092 and 1431044101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431044123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714881 + ... + 716879.

It is an arithmetic number, because the mean of its divisors is an integer number (54945000).

Almost surely, 21431044120 is an apocalyptic number.

1431044120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431044120 is an abundant number, since it is smaller than the sum of its proper divisors (2085435880).

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

1431044120 is a wasteful number, since it uses less digits than its factorization.

1431044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1431044120 is about 37829.1437915267. The cubic root of 1431044120 is about 1126.8973073721.

Adding to 1431044120 its reverse (214401341), we get a palindrome (1645445461).

The spelling of 1431044120 in words is "one billion, four hundred thirty-one million, forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1627 1999 3254 3998 6508 7996 8135 9995 13016 15992 16270 17897 19990 21989 32540 35794 39980 43978 65080 71588 79960 87956 89485 109945 143176 175912 178970 219890 357940 439780 715880 879560 3252373 6504746 13009492 16261865 26018984 32523730 35776103 65047460 71552206 130094920 143104412 178880515 286208824 357761030 715522060 1431044120