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11350001440 = 25529284349
BaseRepresentation
bin10101001001000001…
…10100011100100000
31002022000000210221201
422210200310130200
5141221100021230
65114125530544
7551156264131
oct124440643440
932260023851
1011350001440
1148a4864088
122249113a54
1310bb5b13ab
1479957bc88
154666785ca
hex2a4834720

11350001440 has 72 divisors (see below), whose sum is σ = 27771225300. Its totient is φ = 4383396864.

The previous prime is 11350001419. The next prime is 11350001447. The reversal of 11350001440 is 4410005311.

It can be written as a sum of positive squares in 6 ways, for example, as 5321410704 + 6028590736 = 72948^2 + 77644^2 .

It is not an unprimeable number, because it can be changed into a prime (11350001447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92386 + ... + 176734.

Almost surely, 211350001440 is an apocalyptic number.

11350001440 is a gapful number since it is divisible by the number (10) 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 11350001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885612650).

11350001440 is an abundant number, since it is smaller than the sum of its proper divisors (16421223860).

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

11350001440 is an equidigital number, since it uses as much as digits as its factorization.

11350001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84422 (or 84385 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11350001440 its reverse (4410005311), we get a palindrome (15760006751).

The spelling of 11350001440 in words is "eleven billion, three hundred fifty million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 841 928 1160 1682 2320 3364 4205 4640 6728 8410 13456 16820 26912 33640 67280 84349 134560 168698 337396 421745 674792 843490 1349584 1686980 2446121 2699168 3373960 4892242 6747920 9784484 12230605 13495840 19568968 24461210 39137936 48922420 70937509 78275872 97844840 141875018 195689680 283750036 354687545 391379360 567500072 709375090 1135000144 1418750180 2270000288 2837500360 5675000720 11350001440