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32144412440000 = 26547114801473
BaseRepresentation
bin1110100111100001101000…
…10010001111010111000000
311012210222100101000122222002
413103300310102033113000
513203123224041040000
6152210534512003132
76525233335363160
oct723606422172700
9135728311018862
1032144412440000
11a273406901503
1237319768304a8
1314c2288762943
147d1b254a05a0
153ab23b06c8d5
hex1d3c3448f5c0

32144412440000 has 140 divisors (see below), whose sum is σ = 91094510413104. Its totient is φ = 11020941312000.

The previous prime is 32144412439981. The next prime is 32144412440009. The reversal of 32144412440000 is 4421444123.

It is a tau number, because it is divible by the number of its divisors (140).

It is a super-2 number, since 2×321444124400002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32144412440009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57120737 + ... + 57680736.

Almost surely, 232144412440000 is an apocalyptic number.

It is an amenable number.

32144412440000 is an abundant number, since it is smaller than the sum of its proper divisors (58950097973104).

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

32144412440000 is an equidigital number, since it uses as much as digits as its factorization.

32144412440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114801512 (or 114801487 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 32144412440000 its reverse (4421444123), we get a palindrome (32148833884123).

The spelling of 32144412440000 in words is "thirty-two trillion, one hundred forty-four billion, four hundred twelve million, four hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 140000 280000 114801473 229602946 459205892 574007365 803610311 918411784 1148014730 1607220622 1836823568 2296029460 2870036825 3214441244 3673647136 4018051555 4592058920 5740073650 6428882488 7347294272 8036103110 9184117840 11480147300 12857764976 14350184125 16072206220 18368235680 20090257775 22960294600 25715529952 28700368250 32144412440 36736471360 40180515550 45920589200 51431059904 57400736500 64288824880 71750920625 80361031100 91841178400 100451288875 114801473000 128577649760 143501841250 160722062200 183682356800 200902577750 229602946000 257155299520 287003682500 321444124400 401805155500 459205892000 502256444375 574007365000 642888248800 803610311000 918411784000 1004512888750 1148014730000 1285776497600 1607220622000 2009025777500 2296029460000 3214441244000 4018051555000 4592058920000 6428882488000 8036103110000 16072206220000 32144412440000