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40927830048 = 25327181112163
BaseRepresentation
bin100110000111011111…
…010010000000100000
310220122022221012001100
4212013133102000200
51132310011030143
630445121234400
72646141546450
oct460737220040
9126568835040
1040927830048
11163a2769536
127b22792a00
133b23371321
141da38cdd60
1510e81ae6d3
hex9877d2020

40927830048 has 144 divisors (see below), whose sum is σ = 133751532096. Its totient is φ = 11628956160.

The previous prime is 40927830017. The next prime is 40927830067. The reversal of 40927830048 is 84003872904.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 40927829985 and 40927830012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308815 + ... + 420977.

It is an arithmetic number, because the mean of its divisors is an integer number (928830084).

Almost surely, 240927830048 is an apocalyptic number.

40927830048 is a gapful number since it is divisible by the number (48) 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 40927830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66875766048).

40927830048 is an abundant number, since it is smaller than the sum of its proper divisors (92823702048).

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

40927830048 is a wasteful number, since it uses less digits than its factorization.

40927830048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112367 (or 112356 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40927830048 in words is "forty billion, nine hundred twenty-seven million, eight hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 181 224 252 288 336 362 504 543 672 724 1008 1086 1267 1448 1629 2016 2172 2534 2896 3258 3801 4344 5068 5792 6516 7602 8688 10136 11403 13032 15204 17376 20272 22806 26064 30408 40544 45612 52128 60816 91224 112163 121632 182448 224326 336489 364896 448652 672978 785141 897304 1009467 1345956 1570282 1794608 2018934 2355423 2691912 3140564 3589216 4037868 4710846 5383824 6281128 7066269 8075736 9421692 10767648 12562256 14132538 16151472 18843384 20301503 25124512 28265076 32302944 37686768 40603006 56530152 60904509 75373536 81206012 113060304 121809018 142110521 162412024 182713527 226120608 243618036 284221042 324824048 365427054 426331563 487236072 568442084 649648096 730854108 852663126 974472144 1136884168 1278994689 1461708216 1705326252 1948944288 2273768336 2557989378 2923416432 3410652504 4547536672 5115978756 5846832864 6821305008 10231957512 13642610016 20463915024 40927830048