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11541344144 = 2411313376277
BaseRepresentation
bin10101011111110101…
…01110111110010000
31002210100002000210112
422233322232332100
5142114041003034
65145123020452
7556001543441
oct125772567620
932710060715
1011541344144
114992873750
1222a120a728
13111c127025
147b6b492c8
154783727ce
hex2afeaef90

11541344144 has 80 divisors (see below), whose sum is σ = 25259859456. Its totient is φ = 5060966400.

The previous prime is 11541344123. The next prime is 11541344197. The reversal of 11541344144 is 44144314511.

It is a self number, because there is not a number n which added to its sum of digits gives 11541344144.

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, 1835534 + ... + 1841810.

Almost surely, 211541344144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11541344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12629929728).

11541344144 is an abundant number, since it is smaller than the sum of its proper divisors (13718515312).

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

11541344144 is a wasteful number, since it uses less digits than its factorization.

11541344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6658 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

Adding to 11541344144 its reverse (44144314511), we get a palindrome (55685658655).

The spelling of 11541344144 in words is "eleven billion, five hundred forty-one million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 337 341 496 674 682 1348 1364 2696 2728 3707 5392 5456 6277 7414 10447 12554 14828 20894 25108 29656 41788 50216 59312 69047 83576 100432 114917 138094 167152 194587 229834 276188 389174 459668 552376 778348 919336 1104752 1556696 1838672 2115349 2140457 3113392 4230698 4280914 8461396 8561828 16922792 17123656 23268839 33845584 34247312 46537678 65575819 93075356 131151638 186150712 262303276 372301424 524606552 721334009 1049213104 1442668018 2885336036 5770672072 11541344144