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2443431112144 = 241141683495773
BaseRepresentation
bin100011100011100111110…
…101111110110111010000
322122120220220201022110221
4203203213311332313100
5310013121331042034
65110255144402424
7341350333524211
oct43434765766720
98576826638427
102443431112144
118622871875a0
12335678176414
13149550a52029
1486396ba9408
154385c70dbb4
hex238e7d7edd0

2443431112144 has 80 divisors (see below), whose sum is σ = 5298245515584. Its totient is φ = 1081972812800.

The previous prime is 2443431112121. The next prime is 2443431112189. The reversal of 2443431112144 is 4412111343442.

It is a congruent number.

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, 4680642 + ... + 5176414.

Almost surely, 22443431112144 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 2443431112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649122757792).

2443431112144 is an abundant number, since it is smaller than the sum of its proper divisors (2854814403440).

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

2443431112144 is a wasteful number, since it uses less digits than its factorization.

2443431112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496516 (or 496510 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 2443431112144 its reverse (4412111343442), we get a palindrome (6855542455586).

The spelling of 2443431112144 in words is "two trillion, four hundred forty-three billion, four hundred thirty-one million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 683 902 1366 1804 2732 3608 5464 7216 7513 10928 15026 28003 30052 56006 60104 112012 120208 224024 308033 448048 495773 616066 991546 1232132 1983092 2464264 3966184 4928528 5453503 7932368 10907006 20326693 21814012 40653386 43628024 81306772 87256048 162613544 223593623 325227088 338612959 447187246 677225918 894374492 1354451836 1788748984 2708903672 3577497968 3724742549 5417807344 7449485098 13883131319 14898970196 27766262638 29797940392 55532525276 59595880784 111065050552 152714444509 222130101104 305428889018 610857778036 1221715556072 2443431112144