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11430353440 = 255119117129
BaseRepresentation
bin10101010010100110…
…10101101000100000
31002111121020010011201
422221103111220200
5141402132302230
65130120050544
7553153254412
oct125123255040
932447203151
1011430353440
1149361557a0
122270003a54
131102135a5c
147a60d69b2
1546d74b5ca
hex2a94d5a20

11430353440 has 96 divisors (see below), whose sum is σ = 29495612160. Its totient is φ = 4151347200.

The previous prime is 11430353399. The next prime is 11430353483. The reversal of 11430353440 is 4435303411.

It is a junction number, because it is equal to n+sod(n) for n = 11430353399 and 11430353408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599796 + ... + 1606924.

It is an arithmetic number, because the mean of its divisors is an integer number (307245960).

Almost surely, 211430353440 is an apocalyptic number.

11430353440 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 11430353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747806080).

11430353440 is an abundant number, since it is smaller than the sum of its proper divisors (18065258720).

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

11430353440 is a wasteful number, since it uses less digits than its factorization.

11430353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8066 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 11430353440 its reverse (4435303411), we get a palindrome (15865656851).

The spelling of 11430353440 in words is "eleven billion, four hundred thirty million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 911 1760 1822 3644 4555 7129 7288 9110 10021 14258 14576 18220 20042 28516 29152 35645 36440 40084 50105 57032 71290 72880 78419 80168 100210 114064 142580 145760 156838 160336 200420 228128 285160 313676 320672 392095 400840 570320 627352 784190 801680 1140640 1254704 1568380 1603360 2509408 3136760 6273520 6494519 12547040 12989038 25978076 32472595 51956152 64945190 71439709 103912304 129890380 142879418 207824608 259780760 285758836 357198545 519561520 571517672 714397090 1039123040 1143035344 1428794180 2286070688 2857588360 5715176720 11430353440