Search a number
-
+
1431030114 = 23217291311231
BaseRepresentation
bin101010101001011…
…1100100101100010
310200201201212021100
41111102330211202
510412320430424
6353555535230
750314361313
oct12522744542
93621655240
101431030114
11674863118
1233b2ba516
1319a6245a7
14d80ac60a
1585973dc9
hex554bc962

1431030114 has 96 divisors (see below), whose sum is σ = 3424861440. Its totient is φ = 429811200.

The previous prime is 1431030109. The next prime is 1431030137. The reversal of 1431030114 is 4110301341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161879 + ... + 1163109.

It is an arithmetic number, because the mean of its divisors is an integer number (35675640).

Almost surely, 21431030114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431030114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712430720).

1431030114 is an abundant number, since it is smaller than the sum of its proper divisors (1993831326).

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

1431030114 is a wasteful number, since it uses less digits than its factorization.

1431030114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1431030114 is about 37828.9586692523. The cubic root of 1431030114 is about 1126.8936309481.

Adding to 1431030114 its reverse (4110301341), we get a palindrome (5541331455).

The spelling of 1431030114 in words is "one billion, four hundred thirty-one million, thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 131 153 174 261 262 306 393 493 522 786 986 1179 1231 1479 2227 2358 2462 2958 3693 3799 4437 4454 6681 7386 7598 8874 11079 11397 13362 20043 20927 22158 22794 34191 35699 40086 41854 62781 64583 68382 71398 107097 125562 129166 161261 188343 193749 214194 321291 322522 376686 387498 483783 581247 606883 642582 967566 1162494 1213766 1451349 1820649 2741437 2902698 3641298 4676569 5461947 5482874 8224311 9353138 10923894 14029707 16448622 24672933 28059414 42089121 49345866 79501673 84178242 159003346 238505019 477010038 715515057 1431030114