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2342400441140 = 225319169366953
BaseRepresentation
bin100010000101100001111…
…100100011101100110100
322021221010220200110102002
4202011201330203230310
5301334214003104030
64552030042434432
7331142603143034
oct42054174435464
98257126613362
102342400441140
11823451a8a081
12319b81202a18
1313cb6c856bb6
1481530cd58c4
1540de7c85245
hex22161f23b34

2342400441140 has 24 divisors (see below), whose sum is σ = 4919069743560. Its totient is φ = 936954687488.

The previous prime is 2342400441137. The next prime is 2342400441151. The reversal of 2342400441140 is 411440042432.

It can be written as a sum of positive squares in 4 ways, for example, as 19166884 + 2342381274256 = 4378^2 + 1530484^2 .

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, 6199904 + ... + 6566856.

It is an arithmetic number, because the mean of its divisors is an integer number (204961239315).

Almost surely, 22342400441140 is an apocalyptic number.

2342400441140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342400441140 is an abundant number, since it is smaller than the sum of its proper divisors (2576669302420).

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

2342400441140 is a wasteful number, since it uses less digits than its factorization.

2342400441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686131 (or 686129 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2342400441140 its reverse (411440042432), we get a palindrome (2753840483572).

The spelling of 2342400441140 in words is "two trillion, three hundred forty-two billion, four hundred million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 319169 366953 638338 733906 1276676 1467812 1595845 1834765 3191690 3669530 6383380 7339060 117120022057 234240044114 468480088228 585600110285 1171200220570 2342400441140