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342431133040 = 24543946321059
BaseRepresentation
bin1001111101110100111…
…11000110110101110000
31012201212121120220211001
410332322133012311300
521102244332224130
6421151035331344
733511522414513
oct4767237066560
91181777526731
10342431133040
111222514a15a7
12564475b0b54
13263a277a719
1412806554d7a
158d9281b6ca
hex4fba7c6d70

342431133040 has 80 divisors (see below), whose sum is σ = 799727385600. Its totient is φ = 136358804736.

The previous prime is 342431133029. The next prime is 342431133043. The reversal of 342431133040 is 40331134243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342431133043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16250031 + ... + 16271089.

It is an arithmetic number, because the mean of its divisors is an integer number (9996592320).

Almost surely, 2342431133040 is an apocalyptic number.

It is an amenable number.

342431133040 is an abundant number, since it is smaller than the sum of its proper divisors (457296252560).

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

342431133040 is a wasteful number, since it uses less digits than its factorization.

342431133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21974 (or 21968 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 342431133040 its reverse (40331134243), we get a palindrome (382762267283).

The spelling of 342431133040 in words is "three hundred forty-two billion, four hundred thirty-one million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 439 463 878 926 1756 1852 2195 2315 3512 3704 4390 4630 7024 7408 8780 9260 17560 18520 21059 35120 37040 42118 84236 105295 168472 203257 210590 336944 406514 421180 813028 842360 1016285 1626056 1684720 2032570 3252112 4065140 8130280 9244901 9750317 16260560 18489802 19500634 36979604 39001268 46224505 48751585 73959208 78002536 92449010 97503170 147918416 156005072 184898020 195006340 369796040 390012680 739592080 780025360 4280389163 8560778326 17121556652 21401945815 34243113304 42803891630 68486226608 85607783260 171215566520 342431133040