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14342022464 = 267211415759
BaseRepresentation
bin11010101101101100…
…11110010101000000
31101000112001020012012
431112312132111000
5213333024204324
610331051152052
71015260115400
oct152666362500
941015036165
1014342022464
11609a774830
122943145628
131477430c33
149a0aa8800
1558e19320e
hex356d9e540

14342022464 has 84 divisors (see below), whose sum is σ = 36116239680. Its totient is φ = 5587787520.

The previous prime is 14342022449. The next prime is 14342022469. The reversal of 14342022464 is 46422024341.

14342022464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14342022464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14342022469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173384 + ... + 242375.

Almost surely, 214342022464 is an apocalyptic number.

14342022464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14342022464 is an abundant number, since it is smaller than the sum of its proper divisors (21774217216).

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

14342022464 is a wasteful number, since it uses less digits than its factorization.

14342022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415796 (or 415779 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 14342022464 in words is "fourteen billion, three hundred forty-two million, twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 616 704 784 1078 1232 1568 2156 2464 3136 4312 4928 8624 17248 34496 415759 831518 1663036 2910313 3326072 4573349 5820626 6652144 9146698 11641252 13304288 18293396 20372191 23282504 26608576 32013443 36586792 40744382 46565008 64026886 73173584 81488764 93130016 128053772 146347168 162977528 186260032 224094101 256107544 292694336 325955056 448188202 512215088 651910112 896376404 1024430176 1303820224 1792752808 2048860352 3585505616 7171011232 14342022464