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1201404143440 = 24589168736537
BaseRepresentation
bin10001011110111001010…
…001000110011101010000
311020212000220211222200001
4101132321101012131100
5124140433430042230
62315530100135344
7152540625503464
oct21367121063520
94225026758601
101201404143440
11423570355916
12174a0b997554
13893a4487407
1442210bd84a4
15213b80ed0ca
hex117b9446750

1201404143440 has 40 divisors (see below), whose sum is σ = 2824649646120. Its totient is φ = 475162085376.

The previous prime is 1201404143417. The next prime is 1201404143579. The reversal of 1201404143440 is 443414041021.

It can be written as a sum of positive squares in 4 ways, for example, as 25081690384 + 1176322453056 = 158372^2 + 1084584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1201404143399 and 1201404143408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84361149 + ... + 84375388.

It is an arithmetic number, because the mean of its divisors is an integer number (70616241153).

Almost surely, 21201404143440 is an apocalyptic number.

1201404143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201404143440 is an abundant number, since it is smaller than the sum of its proper divisors (1623245502680).

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

1201404143440 is a wasteful number, since it uses less digits than its factorization.

1201404143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168736639 (or 168736633 counting only the distinct ones).

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

Adding to 1201404143440 its reverse (443414041021), we get a palindrome (1644818184461).

The spelling of 1201404143440 in words is "one trillion, two hundred one billion, four hundred four million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 168736537 337473074 674946148 843682685 1349892296 1687365370 2699784592 3374730740 6749461480 13498922960 15017551793 30035103586 60070207172 75087758965 120140414344 150175517930 240280828688 300351035860 600702071720 1201404143440