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11147032125440 = 2135647342043
BaseRepresentation
bin1010001000110101111011…
…1000111110000000000000
31110110122102211112112122222
42202031132320332000000
52430113110211003230
635412513104150212
72230226563502141
oct242153670760000
943418384475588
1011147032125440
113608480039a72
121300452608368
1362b211b59503
142a773aac3ac8
15144e5e93d6e5
hexa235ee3e000

11147032125440 has 112 divisors (see below), whose sum is σ = 26756013359088. Its totient is φ = 4458017980416.

The previous prime is 11147032125413. The next prime is 11147032125443. The reversal of 11147032125440 is 4452123074111.

It is a self number, because there is not a number n which added to its sum of digits gives 11147032125440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11147032125443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265113059 + ... + 265155101.

Almost surely, 211147032125440 is an apocalyptic number.

11147032125440 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 11147032125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378006679544).

11147032125440 is an abundant number, since it is smaller than the sum of its proper divisors (15608981233648).

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

11147032125440 is an frugal number, since it uses more digits than its factorization.

11147032125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48547 (or 48523 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 11147032125440 its reverse (4452123074111), we get a palindrome (15599155199551).

The spelling of 11147032125440 in words is "eleven trillion, one hundred forty-seven billion, thirty-two million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 6473 8192 10240 12946 20480 25892 32365 40960 42043 51784 64730 84086 103568 129460 168172 207136 210215 258920 336344 414272 420430 517840 672688 828544 840860 1035680 1345376 1657088 1681720 2071360 2690752 3314176 3363440 4142720 5381504 6628352 6726880 8285440 10763008 13256704 13453760 16570880 21526016 26513408 26907520 33141760 43052032 53026816 53815040 66283520 86104064 107630080 132567040 172208128 215260160 265134080 272144339 344416256 430520320 544288678 861040640 1088577356 1360721695 1722081280 2177154712 2721443390 4354309424 5442886780 8708618848 10885773560 17417237696 21771547120 34834475392 43543094240 69668950784 87086188480 139337901568 174172376960 278675803136 348344753920 557351606272 696689507840 1114703212544 1393379015680 2229406425088 2786758031360 5573516062720 11147032125440