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140300131322400 = 2535278351198293
BaseRepresentation
bin11111111001101000101011…
…011111010100101000100000
3200101202120011101021102210220
4133321220223133110220200
5121342134132104304100
61214220553542523040
741360231021320530
oct3771505337245040
9611676141242726
10140300131322400
1140781a51572a55
121389b132136480
1360393267cb96a
1426907c3a554c0
1511347dd48aaa0
hex7f9a2b7d4a20

140300131322400 has 144 divisors (see below), whose sum is σ = 521916488581824. Its totient is φ = 32068601441280.

The previous prime is 140300131322371. The next prime is 140300131322473. The reversal of 140300131322400 is 4223131003041.

It is a happy number.

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

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, 4175582347 + ... + 4175615946.

It is an arithmetic number, because the mean of its divisors is an integer number (3624420059596).

Almost surely, 2140300131322400 is an apocalyptic number.

140300131322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140300131322400 is an abundant number, since it is smaller than the sum of its proper divisors (381616357259424).

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

140300131322400 is a wasteful number, since it uses less digits than its factorization.

140300131322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8351198323 (or 8351198310 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 140300131322400 its reverse (4223131003041), we get a palindrome (144523262325441).

The spelling of 140300131322400 in words is "one hundred forty trillion, three hundred billion, one hundred thirty-one million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 8351198293 16702396586 25053594879 33404793172 41755991465 50107189758 58458388051 66809586344 83511982930 100214379516 116916776102 125267974395 133619172688 167023965860 175375164153 200428759032 208779957325 233833552204 250535948790 267238345376 292291940255 334047931720 350750328306 400857518064 417559914650 467667104408 501071897580 584583880510 626339871975 668095863440 701500656612 801715036128 835119829300 876875820765 935334208816 1002143795160 1169167761020 1252679743950 1336191726880 1403001313224 1461459701275 1670239658600 1753751641530 1870668417632 2004287590320 2338335522040 2505359487900 2806002626448 2922919402550 3340479317200 3507503283060 4008575180640 4384379103825 4676671044080 5010718975800 5612005252896 5845838805100 6680958634400 7015006566120 8768758207650 9353342088160 10021437951600 11691677610200 14030013132240 17537516415300 20042875903200 23383355220400 28060026264480 35075032830600 46766710440800 70150065661200 140300131322400