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14410010040140 = 2251113171917478929
BaseRepresentation
bin1101000110110001011110…
…0001111001011101001100
31220000120202101011001100202
43101230113201321131030
53342043200032241030
650351511153113032
73015042324241061
oct321542741713514
956016671131322
1014410010040140
114656283aaa330
12174890b258778
13806b20386660
1437b63bc48c68
1519ec864d9745
hexd1b1787974c

14410010040140 has 384 divisors, whose sum is σ = 39650983142400. Its totient is φ = 4309849866240.

The previous prime is 14410010040137. The next prime is 14410010040161. The reversal of 14410010040140 is 4104001001441.

It is a happy number.

It is a super-2 number, since 2×144100100401402 (a number of 27 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 1613839196 + ... + 1613848124.

It is an arithmetic number, because the mean of its divisors is an integer number (103257768600).

Almost surely, 214410010040140 is an apocalyptic number.

14410010040140 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 14410010040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19825491571200).

14410010040140 is an abundant number, since it is smaller than the sum of its proper divisors (25240973102260).

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

14410010040140 is a wasteful number, since it uses less digits than its factorization.

14410010040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10745 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14410010040140 its reverse (4104001001441), we get a palindrome (18514011041581).

The spelling of 14410010040140 in words is "fourteen trillion, four hundred ten billion, ten million, forty thousand, one hundred forty".