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814142101720 = 235827170914401
BaseRepresentation
bin10111101100011101010…
…01101001100011011000
32212211102221222221110211
423312032221221203120
5101314330334223340
61422002310420504
7112551125453203
oct13661651514330
92784387887424
10814142101720
11294303aa0072
12111952661734
135ba08b503bc
142b59466c93a
151629eb445ea
hexbd8ea698d8

814142101720 has 64 divisors (see below), whose sum is σ = 1835235338400. Its totient is φ = 325050163200.

The previous prime is 814142101711. The next prime is 814142101741. The reversal of 814142101720 is 27101241418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56526520 + ... + 56540920.

Almost surely, 2814142101720 is an apocalyptic number.

It is an amenable number.

814142101720 is an abundant number, since it is smaller than the sum of its proper divisors (1021093236680).

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

814142101720 is a wasteful number, since it uses less digits than its factorization.

814142101720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16948 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The spelling of 814142101720 in words is "eight hundred fourteen billion, one hundred forty-two million, one hundred one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 827 1654 1709 3308 3418 4135 6616 6836 8270 8545 13672 14401 16540 17090 28802 33080 34180 57604 68360 72005 115208 144010 288020 576040 1413343 2826686 5653372 7066715 11306744 11909627 14133430 23819254 24611309 28266860 47638508 49222618 56533720 59548135 95277016 98445236 119096270 123056545 196890472 238192540 246113090 476385080 492226180 984452360 20353552543 40707105086 81414210172 101767762715 162828420344 203535525430 407071050860 814142101720