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220141594440 = 23325738376773
BaseRepresentation
bin1100110100000101110…
…1100010011101001000
3210001020001020200210200
43031001131202131020
512101322222010230
6245044234212200
721622212451455
oct3150135423510
9701201220720
10220141594440
11853a8211219
12367b8b84060
13179b4141ab1
14a92510482c
155ad685e160
hex3341762748

220141594440 has 96 divisors (see below), whose sum is σ = 725261092920. Its totient is φ = 57900248064.

The previous prime is 220141594397. The next prime is 220141594441. The reversal of 220141594440 is 44495141022.

220141594440 is a `hidden beast` number, since 2 + 20 + 1 + 4 + 1 + 594 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 162952698276 + 57188896164 = 403674^2 + 239142^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220141594395 and 220141594404.

It is not an unprimeable number, because it can be changed into a prime (220141594441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4162107 + ... + 4214666.

Almost surely, 2220141594440 is an apocalyptic number.

220141594440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220141594440 is an abundant number, since it is smaller than the sum of its proper divisors (505119498480).

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

220141594440 is a wasteful number, since it uses less digits than its factorization.

220141594440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376863 (or 8376856 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 220141594440 in words is "two hundred twenty billion, one hundred forty-one million, five hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 8376773 16753546 25130319 33507092 41883865 50260638 67014184 75390957 83767730 100521276 125651595 150781914 167535460 201042552 251303190 301563828 335070920 376954785 502606380 603127656 611504429 753909570 1005212760 1223008858 1507819140 1834513287 2446017716 3015638280 3057522145 3669026574 4892035432 5503539861 6115044290 7338053148 9172566435 11007079722 12230088580 14676106296 18345132870 22014159444 24460177160 27517699305 36690265740 44028318888 55035398610 73380531480 110070797220 220141594440