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1023140344000 = 2653701182443
BaseRepresentation
bin11101110001101111110…
…10101011000011000000
310121210220102001200211211
432320313322223003000
5113230342412002000
62102005120215504
7133630241300545
oct16706772530300
93553812050754
101023140344000
11364a03061935
1214635b76a594
1375635455798
143773d828bcc
151b9330497ba
hexee37eab0c0

1023140344000 has 112 divisors (see below), whose sum is σ = 2537435530656. Its totient is φ = 408670080000.

The previous prime is 1023140343949. The next prime is 1023140344007. The reversal of 1023140344000 is 4430413201.

It is not an unprimeable number, because it can be changed into a prime (1023140344007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5516779 + ... + 5699221.

Almost surely, 21023140344000 is an apocalyptic number.

1023140344000 is a gapful number since it is divisible by the number (10) 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 1023140344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268717765328).

1023140344000 is an abundant number, since it is smaller than the sum of its proper divisors (1514295186656).

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

1023140344000 is an equidigital number, since it uses as much as digits as its factorization.

1023140344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183171 (or 183151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1023140344000 its reverse (4430413201), we get a palindrome (1027570757201).

The spelling of 1023140344000 in words is "one trillion, twenty-three billion, one hundred forty million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 701 800 1000 1402 1600 2000 2804 3505 4000 5608 7010 8000 11216 14020 17525 22432 28040 35050 44864 56080 70100 87625 112160 140200 175250 182443 224320 280400 350500 364886 560800 701000 729772 912215 1121600 1402000 1459544 1824430 2804000 2919088 3648860 4561075 5608000 5838176 7297720 9122150 11676352 14595440 18244300 22805375 29190880 36488600 45610750 58381760 72977200 91221500 127892543 145954400 182443000 255785086 291908800 364886000 511570172 639462715 729772000 1023140344 1278925430 1459544000 2046280688 2557850860 3197313575 4092561376 5115701720 6394627150 8185122752 10231403440 12789254300 15986567875 20462806880 25578508600 31973135750 40925613760 51157017200 63946271500 102314034400 127892543000 204628068800 255785086000 511570172000 1023140344000