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140440101041400 = 233521747256311071
BaseRepresentation
bin11111111011101011000010…
…010101011011010011111000
3200102020221110002222212211120
4133323223002111123103320
5121401432311331311100
61214405143003425240
741403314424311166
oct3773530225332370
9612227402885746
10140440101041400
1140826348854576
1213902295825220
1360495a201aab4
1426974a1240236
1511382816ca0a0
hex7fbac255b4f8

140440101041400 has 576 divisors, whose sum is σ = 471869806970880. Its totient is φ = 34433374924800.

The previous prime is 140440101041389. The next prime is 140440101041411. The reversal of 140440101041400 is 4140101044041.

It is an interprime number because it is at equal distance from previous prime (140440101041389) and next prime (140440101041411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12685397865 + ... + 12685408935.

It is an arithmetic number, because the mean of its divisors is an integer number (819218414880).

Almost surely, 2140440101041400 is an apocalyptic number.

140440101041400 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 140440101041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235934903485440).

140440101041400 is an abundant number, since it is smaller than the sum of its proper divisors (331429705929480).

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

140440101041400 is a wasteful number, since it uses less digits than its factorization.

140440101041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11764 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 140440101041400 its reverse (4140101044041), we get a palindrome (144580202085441).

The spelling of 140440101041400 in words is "one hundred forty trillion, four hundred forty billion, one hundred one million, forty-one thousand, four hundred".