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140021311402140 = 22357333384074767
BaseRepresentation
bin11111110101100101000000…
…100001101111000010011100
3200100202220110221101221101120
4133311211000201233002130
5121323102121204332030
61213444522532210540
741331130425152610
oct3765450041570234
9610686427357346
10140021311402140
1140684782a36093
1213855099a69a50
136018c509b611c
1426810d3821340
15112c42044b010
hex7f594086f09c

140021311402140 has 48 divisors (see below), whose sum is σ = 448068196488192. Its totient is φ = 32004871177536.

The previous prime is 140021311402127. The next prime is 140021311402211. The reversal of 140021311402140 is 41204113120041.

It is a happy number.

140021311402140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1400213114021402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140021311402140.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 166692036964 + ... + 166692037803.

It is an arithmetic number, because the mean of its divisors is an integer number (9334754093504).

Almost surely, 2140021311402140 is an apocalyptic number.

140021311402140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140021311402140 is an abundant number, since it is smaller than the sum of its proper divisors (308046885086052).

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

140021311402140 is a wasteful number, since it uses less digits than its factorization.

140021311402140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333384074786 (or 333384074784 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 140021311402140 its reverse (41204113120041), we get a palindrome (181225424522181).

The spelling of 140021311402140 in words is "one hundred forty trillion, twenty-one billion, three hundred eleven million, four hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 333384074767 666768149534 1000152224301 1333536299068 1666920373835 2000304448602 2333688523369 3333840747670 4000608897204 4667377046738 5000761121505 6667681495340 7001065570107 9334754093476 10001522243010 11668442616845 14002131140214 20003044486020 23336885233690 28004262280428 35005327850535 46673770467380 70010655701070 140021311402140