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142014105600450 = 23521949829510737
BaseRepresentation
bin100000010010100100111100…
…010100010100000111000010
3200121211102020012021010201120
4200102210330110110013002
5122103224342013203300
61222012213544013110
741625115632311526
oct4022447424240702
9617742205233646
10142014105600450
1141282931347466
1213b17350761196
136131b464085c5
14270d73b2a1d86
1511641a5a0b3a0
hex81293c5141c2

142014105600450 has 48 divisors (see below), whose sum is σ = 370731559890720. Its totient is φ = 35877247729920.

The previous prime is 142014105600443. The next prime is 142014105600463. The reversal of 142014105600450 is 54006501410241.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24914752519 + ... + 24914758218.

It is an arithmetic number, because the mean of its divisors is an integer number (7723574164390).

Almost surely, 2142014105600450 is an apocalyptic number.

142014105600450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142014105600450 is an abundant number, since it is smaller than the sum of its proper divisors (228717454290270).

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

142014105600450 is a wasteful number, since it uses less digits than its factorization.

142014105600450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49829510771 (or 49829510766 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 142014105600450 in words is "one hundred forty-two trillion, fourteen billion, one hundred five million, six hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850 49829510737 99659021474 149488532211 249147553685 298977064422 498295107370 747442661055 946760704003 1245737768425 1494885322110 1893521408006 2491475536850 2840282112009 3737213305275 4733803520015 5680564224018 7474426610550 9467607040030 14201410560045 23669017600075 28402821120090 47338035200150 71007052800225 142014105600450