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140012241402340 = 22561745715390121
BaseRepresentation
bin11111110101011100100011…
…111010011011100111100100
3200100202001001211121012201001
4133311130203322123213210
5121322430032244333330
61213440422530443044
741330356602345526
oct3765344372334744
9610661054535631
10140012241402340
1140680949183a8a
1213853388433484
136018136897438
1426808b2dc7a16
15112c08e0439ca
hex7f5723e9b9e4

140012241402340 has 48 divisors (see below), whose sum is σ = 298885895797104. Its totient is φ = 55079392665600.

The previous prime is 140012241402337. The next prime is 140012241402347. The reversal of 140012241402340 is 43204142210041.

It can be written as a sum of positive squares in 8 ways, for example, as 39777063292836 + 100235178109504 = 6306906^2 + 10011752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 140012241402299 and 140012241402308.

It is not an unprimeable number, because it can be changed into a prime (140012241402347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402480 + ... + 16792600.

It is an arithmetic number, because the mean of its divisors is an integer number (6226789495773).

Almost surely, 2140012241402340 is an apocalyptic number.

140012241402340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140012241402340 is an abundant number, since it is smaller than the sum of its proper divisors (158873654394764).

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

140012241402340 is a wasteful number, since it uses less digits than its factorization.

140012241402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15397648 (or 15397646 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 140012241402340 its reverse (43204142210041), we get a palindrome (183216383612381).

The spelling of 140012241402340 in words is "one hundred forty trillion, twelve billion, two hundred forty-one million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 7457 14914 29828 37285 74570 149140 454877 909754 1819508 2274385 4548770 9097540 15390121 30780242 61560484 76950605 153901210 307802420 938797381 1877594762 3755189524 4693986905 9387973810 18775947620 114764132297 229528264594 459056529188 573820661485 1147641322970 2295282645940 7000612070117 14001224140234 28002448280468 35003060350585 70006120701170 140012241402340