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11040145128 = 23361893029
BaseRepresentation
bin10100100100000101…
…10011111011101000
31001111101222111000000
422102002303323220
5140102234121003
65023300343000
7540404454015
oct122202637350
931441874000
1011040145128
114755968491
1221813a4a60
13106c34226c
1476a36070c
1544936e1a3
hex2920b3ee8

11040145128 has 56 divisors (see below), whose sum is σ = 31036226850. Its totient is φ = 3680046432.

The previous prime is 11040145121. The next prime is 11040145157. The reversal of 11040145128 is 82154104011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6534782244 + 4505362884 = 80838^2 + 67122^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11040145121) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 940683 + ... + 952346.

Almost surely, 211040145128 is an apocalyptic number.

11040145128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11040145128 is an abundant number, since it is smaller than the sum of its proper divisors (19996081722).

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

11040145128 is an equidigital number, since it uses as much as digits as its factorization.

11040145128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893053 (or 1893034 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 11040145128 its reverse (82154104011), we get a palindrome (93194249139).

The spelling of 11040145128 in words is "eleven billion, forty million, one hundred forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 1893029 3786058 5679087 7572116 11358174 15144232 17037261 22716348 34074522 45432696 51111783 68149044 102223566 136298088 153335349 204447132 306670698 408894264 460006047 613341396 920012094 1226682792 1380018141 1840024188 2760036282 3680048376 5520072564 11040145128