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1430811216 = 2436241509
BaseRepresentation
bin101010101001000…
…0111001001010000
310200201022202000000
41111102013021100
510412241424331
6353551130000
750312460162
oct12522071120
93621282000
101430811216
1167472370a
1233b213900
1319a578a73
14d8052932
158592e0e6
hex55487250

1430811216 has 140 divisors (see below), whose sum is σ = 4181839860. Its totient is φ = 474024960.

The previous prime is 1430811211. The next prime is 1430811223. The reversal of 1430811216 is 6121180341.

It is a happy number.

1430811216 is a `hidden beast` number, since 1 + 430 + 8 + 11 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1120910400 + 309900816 = 33480^2 + 17604^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1430811216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430811211) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2810770 + ... + 2811278.

Almost surely, 21430811216 is an apocalyptic number.

1430811216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430811216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090919930).

1430811216 is an abundant number, since it is smaller than the sum of its proper divisors (2751028644).

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

1430811216 is an equidigital number, since it uses as much as digits as its factorization.

1430811216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1430811216 is about 37826.0652989443. The cubic root of 1430811216 is about 1126.8361694644.

Adding to 1430811216 its reverse (6121180341), we get a palindrome (7551991557).

The spelling of 1430811216 in words is "one billion, four hundred thirty million, eight hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 241 243 324 432 482 486 509 648 723 729 964 972 1018 1296 1446 1458 1527 1928 1944 2036 2169 2892 2916 3054 3856 3888 4072 4338 4581 5784 5832 6108 6507 8144 8676 9162 11568 11664 12216 13014 13743 17352 18324 19521 24432 26028 27486 34704 36648 39042 41229 52056 54972 58563 73296 78084 82458 104112 109944 117126 122669 123687 156168 164916 175689 219888 234252 245338 247374 312336 329832 351378 368007 371061 468504 490676 494748 659664 702756 736014 742122 937008 981352 989496 1104021 1405512 1472028 1484244 1962704 1978992 2208042 2811024 2944056 2968488 3312063 4416084 5888112 5936976 6624126 8832168 9936189 13248252 17664336 19872378 26496504 29808567 39744756 52993008 59617134 79489512 89425701 119234268 158979024 178851402 238468536 357702804 476937072 715405608 1430811216