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4001402411344 = 2413171131618329
BaseRepresentation
bin111010001110100110001…
…010110101100101010000
3112011112022121120120122001
4322032212022311211100
51011024333004130334
612302115140323344
7562043324210662
oct72164612654520
915145277516561
104001402411344
111302a92388008
125475b96a3554
1323043b50c930
14db9516bc532
156e144179714
hex3a3a62b5950

4001402411344 has 40 divisors (see below), whose sum is σ = 8840202393960. Its totient is φ = 1738165751808.

The previous prime is 4001402411323. The next prime is 4001402411387. The reversal of 4001402411344 is 4431142041004.

It can be written as a sum of positive squares in 4 ways, for example, as 261386787600 + 3740015623744 = 511260^2 + 1933912^2 .

It is a super-2 number, since 2×40014024113442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565805629 + ... + 565812700.

It is an arithmetic number, because the mean of its divisors is an integer number (221005059849).

Almost surely, 24001402411344 is an apocalyptic number.

It is an amenable number.

4001402411344 is an abundant number, since it is smaller than the sum of its proper divisors (4838799982616).

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

4001402411344 is a wasteful number, since it uses less digits than its factorization.

4001402411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131618367 (or 1131618361 counting only the distinct ones).

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

Adding to 4001402411344 its reverse (4431142041004), we get a palindrome (8432544452348).

The spelling of 4001402411344 in words is "four trillion, one billion, four hundred two million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 1131618329 2263236658 4526473316 9052946632 14711038277 18105893264 19237511593 29422076554 38475023186 58844153108 76950046372 117688306216 153900092744 235376612432 250087650709 307800185488 500175301418 1000350602836 2000701205672 4001402411344