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814399090470 = 232571894768227
BaseRepresentation
bin10111101100111011111…
…01111110111100100110
32212212002212120022202200
423312131331332330212
5101320342131343340
61422044010515330
7112560366023430
oct13663575767446
92785085508680
10814399090470
11294426067569
12111a04735b46
135ba4a16bb54
142b5ba847650
15162b74a9330
hexbd9df7ef26

814399090470 has 96 divisors (see below), whose sum is σ = 2420091917568. Its totient is φ = 186135810624.

The previous prime is 814399090429. The next prime is 814399090523. The reversal of 814399090470 is 74090993418.

814399090470 is a `hidden beast` number, since 81 + 4 + 3 + 9 + 9 + 0 + 90 + 470 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11902497 + ... + 11970723.

It is an arithmetic number, because the mean of its divisors is an integer number (25209290808).

Almost surely, 2814399090470 is an apocalyptic number.

814399090470 is an abundant number, since it is smaller than the sum of its proper divisors (1605692827098).

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

814399090470 is a wasteful number, since it uses less digits than its factorization.

814399090470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87194 (or 87191 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 814399090470 in words is "eight hundred fourteen billion, three hundred ninety-nine million, ninety thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 18947 37894 56841 68227 94735 113682 132629 136454 170523 189470 204681 265258 284205 341046 341135 397887 409362 477589 568410 614043 663145 682270 795774 852615 955178 1023405 1193661 1228086 1326290 1432767 1705230 1989435 2046810 2387322 2387945 2865534 3070215 3978870 4298301 4775890 5968305 6140430 7163835 8596602 11936610 14327670 21491505 42983010 1292696969 2585393938 3878090907 6463484845 7756181814 9048878783 11634272721 12926969690 18097757566 19390454535 23268545442 27146636349 38780909070 45244393915 54293272698 58171363605 81439909047 90488787830 116342727210 135733181745 162879818094 271466363490 407199545235 814399090470