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11421444144 = 2431123940501
BaseRepresentation
bin10101010001100010…
…10110100000110000
31002110222110110220210
422220301112200300
5141342342203034
65125201104120
7553014446655
oct125061264060
932428413823
1011421444144
114931120040
122269028040
131100336796
147a4c57c2c
1546ca8b8e9
hex2a8c56830

11421444144 has 80 divisors (see below), whose sum is σ = 33587207424. Its totient is φ = 3310560000.

The previous prime is 11421444113. The next prime is 11421444193. The reversal of 11421444144 is 44144412411.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458107 + ... + 482394.

Almost surely, 211421444144 is an apocalyptic number.

It is an amenable number.

11421444144 is an abundant number, since it is smaller than the sum of its proper divisors (22165763280).

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

11421444144 is a wasteful number, since it uses less digits than its factorization.

11421444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940546 (or 940540 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

Adding to 11421444144 its reverse (44144412411), we get a palindrome (55565856555).

The spelling of 11421444144 in words is "eleven billion, four hundred twenty-one million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 940501 1881002 2821503 3762004 5643006 7524008 10345511 11286012 15048016 20691022 21631523 22572024 31036533 41382044 43263046 45144048 62073066 64894569 82764088 86526092 124146132 129789138 165528176 173052184 237946753 248292264 259578276 346104368 475893506 496584528 519156552 713840259 951787012 1038313104 1427680518 1903574024 2855361036 3807148048 5710722072 11421444144