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2140421145000 = 23354193739351
BaseRepresentation
bin11111001001011011000…
…010101100000110101000
321120121210122000010001020
4133021123002230012220
5240032040303120000
64315143525252440
7310432426354245
oct37113302540650
97517718003036
102140421145000
11755824a32446
122a69b2864120
13126ac145c298
147584ddc85cc
153aa25b8cba0
hex1f25b0ac1a8

2140421145000 has 160 divisors (see below), whose sum is σ = 6721330735680. Its totient is φ = 567820800000.

The previous prime is 2140421144989. The next prime is 2140421145001. The reversal of 2140421145000 is 5411240412.

It is a super-2 number, since 2×21404211450002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2140421145001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2525325 + ... + 3264675.

It is an arithmetic number, because the mean of its divisors is an integer number (42008317098).

Almost surely, 22140421145000 is an apocalyptic number.

2140421145000 is a gapful number since it is divisible by the number (20) 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 2140421145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360665367840).

2140421145000 is an abundant number, since it is smaller than the sum of its proper divisors (4580909590680).

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

2140421145000 is a wasteful number, since it uses less digits than its factorization.

2140421145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739573 (or 739554 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 2140421145000 its reverse (5411240412), we get a palindrome (2145832385412).

The spelling of 2140421145000 in words is "two trillion, one hundred forty billion, four hundred twenty-one million, one hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 193 200 250 300 375 386 500 579 600 625 750 772 965 1000 1158 1250 1500 1544 1875 1930 2316 2500 2895 3000 3750 3860 4632 4825 5000 5790 7500 7720 9650 11580 14475 15000 19300 23160 24125 28950 38600 48250 57900 72375 96500 115800 120625 144750 193000 241250 289500 361875 482500 579000 723750 739351 965000 1447500 1478702 2218053 2895000 2957404 3696755 4436106 5914808 7393510 8872212 11090265 14787020 17744424 18483775 22180530 29574040 36967550 44361060 55451325 73935100 88722120 92418875 110902650 142694743 147870200 184837750 221805300 277256625 285389486 369675500 428084229 443610600 462094375 554513250 570778972 713473715 739351000 856168458 924188750 1109026500 1141557944 1386283125 1426947430 1712336916 1848377500 2140421145 2218053000 2772566250 2853894860 3424673832 3567368575 3696755000 4280842290 5545132500 5707789720 7134737150 8561684580 10702105725 11090265000 14269474300 17123369160 17836842875 21404211450 28538948600 35673685750 42808422900 53510528625 71347371500 85616845800 89184214375 107021057250 142694743000 178368428750 214042114500 267552643125 356736857500 428084229000 535105286250 713473715000 1070210572500 2140421145000