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140300101442000 = 24531811843921019
BaseRepresentation
bin11111111001101000101001…
…101101010101100111010000
3200101202120002022001100121102
4133321220221231111213100
5121342134101432121000
61214220550554243532
741360230206330623
oct3771505155254720
9611676068040542
10140300101442000
1140781a36714405
121389b1241265a8
136039320569256
1426907bdab7dba
1511347daa373d5
hex7f9a29b559d0

140300101442000 has 160 divisors (see below), whose sum is σ = 341154660537600. Its totient is φ = 55804303296000.

The previous prime is 140300101441961. The next prime is 140300101442021. The reversal of 140300101442000 is 244101003041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6674907491 + ... + 6674928509.

It is an arithmetic number, because the mean of its divisors is an integer number (2132216628360).

Almost surely, 2140300101442000 is an apocalyptic number.

140300101442000 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 140300101442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170577330268800).

140300101442000 is an abundant number, since it is smaller than the sum of its proper divisors (200854559095600).

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

140300101442000 is a wasteful number, since it uses less digits than its factorization.

140300101442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39662 (or 39646 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 140300101442000 its reverse (244101003041), we get a palindrome (140544202445041).

The spelling of 140300101442000 in words is "one hundred forty trillion, three hundred billion, one hundred one million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 181 200 250 362 400 500 724 905 1000 1448 1810 2000 2896 3620 4525 7240 9050 14480 18100 18439 21019 22625 36200 36878 42038 45250 72400 73756 84076 90500 92195 105095 147512 168152 181000 184390 210190 295024 336304 362000 368780 420380 460975 525475 737560 840760 921950 1050950 1475120 1681520 1843900 2101900 2304875 2627375 3337459 3687800 3804439 4203800 4609750 5254750 6674918 7375600 7608878 8407600 9219500 10509500 13349836 15217756 16687295 18439000 19022195 21019000 26699672 30435512 33374590 36878000 38044390 42038000 53399344 60871024 66749180 76088780 83436475 95110975 133498360 152177560 166872950 190221950 266996720 304355120 333745900 380443900 387569341 417182375 475554875 667491800 760887800 775138682 834364750 951109750 1334983600 1521775600 1550277364 1668729500 1902219500 1937846705 3100554728 3337459000 3804439000 3875693410 6201109456 6674918000 7608878000 7751386820 9689233525 15502773640 19378467050 31005547280 38756934100 48446167625 70150050721 77513868200 96892335250 140300101442 155027736400 193784670500 280600202884 350750253605 387569341000 561200405768 701500507210 775138682000 1122400811536 1403001014420 1753751268025 2806002028840 3507502536050 5612004057680 7015005072100 8768756340125 14030010144200 17537512680250 28060020288400 35075025360500 70150050721000 140300101442000