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140430004013000 = 23531397111124931
BaseRepresentation
bin11111111011100001101000…
…100000010100011111001000
3200102012222101102122200202202
4133323201220200110133020
5121401301122011404000
61214400353033215332
741402506261061462
oct3773415040243710
9612188342580682
10140430004013000
11408220372986a9
1213900338261548
1360486531ba590
142696bc4261132
151137d90052dd5
hex7fb8688147c8

140430004013000 has 128 divisors (see below), whose sum is σ = 354248094695040. Its totient is φ = 51797674080000.

The previous prime is 140430004012997. The next prime is 140430004013009. The reversal of 140430004013000 is 310400034041.

It is a happy number.

It is a super-2 number, since 2×1404300040130002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (140430004013009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7060535 + ... + 18185465.

It is an arithmetic number, because the mean of its divisors is an integer number (2767563239805).

Almost surely, 2140430004013000 is an apocalyptic number.

140430004013000 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 140430004013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177124047347520).

140430004013000 is an abundant number, since it is smaller than the sum of its proper divisors (213818090682040).

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

140430004013000 is a wasteful number, since it uses less digits than its factorization.

140430004013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125936 (or 11125922 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 140430004013000 its reverse (310400034041), we get a palindrome (140740404047041).

The spelling of 140430004013000 in words is "one hundred forty trillion, four hundred thirty billion, four million, thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 971 1000 1300 1625 1942 2600 3250 3884 4855 6500 7768 9710 12623 13000 19420 24275 25246 38840 48550 50492 63115 97100 100984 121375 126230 194200 242750 252460 315575 485500 504920 631150 971000 1262300 1577875 2524600 3155750 6311500 11124931 12623000 22249862 44499724 55624655 88999448 111249310 144624103 222498620 278123275 289248206 444997240 556246550 578496412 723120515 1112493100 1156992824 1390616375 1446241030 2224986200 2781232750 2892482060 3615602575 5562465500 5784964120 7231205150 10802308001 11124931000 14462410300 18078012875 21604616002 28924820600 36156025750 43209232004 54011540005 72312051500 86418464008 108023080010 140430004013 144624103000 216046160020 270057700025 280860008026 432092320040 540115400050 561720016052 702150020065 1080230800100 1123440032104 1350288500125 1404300040130 2160461600200 2700577000250 2808600080260 3510750100325 5401154000500 5617200160520 7021500200650 10802308001000 14043000401300 17553750501625 28086000802600 35107501003250 70215002006500 140430004013000