Search a number
-
+
447157224414 = 233173115979839
BaseRepresentation
bin1101000000111001010…
…01011100001111011110
31120202012011012120122000
412200130221130033132
524311234222140124
6541230551103130
744206654460205
oct6403451341736
91522164176560
10447157224414
1116270266103a
12727b4071aa6
1333222454b24
14178dd13623c
15b9719046c9
hex681ca5c3de

447157224414 has 128 divisors (see below), whose sum is σ = 1086864998400. Its totient is φ = 135660510720.

The previous prime is 447157224407. The next prime is 447157224457. The reversal of 447157224414 is 414422751744.

447157224414 is a `hidden beast` number, since 4 + 4 + 7 + 1 + 5 + 7 + 224 + 414 = 666.

447157224414 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 447157224414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45442507 + ... + 45452345.

It is an arithmetic number, because the mean of its divisors is an integer number (8491132800).

Almost surely, 2447157224414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447157224414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543432499200).

447157224414 is an abundant number, since it is smaller than the sum of its proper divisors (639707773986).

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

447157224414 is a wasteful number, since it uses less digits than its factorization.

447157224414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11495 (or 11489 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 45.

The spelling of 447157224414 in words is "four hundred forty-seven billion, one hundred fifty-seven million, two hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1581 1597 1674 3162 3194 4743 4791 9486 9582 9839 14229 14373 19678 27149 28458 28746 29517 43119 49507 54298 59034 81447 86238 88551 99014 148521 162894 167263 177102 244341 265653 297042 305009 334526 445563 488682 501789 531306 610018 733023 841619 891126 915027 1003578 1336689 1466046 1505367 1683238 1830054 2524857 2673378 2745081 3010734 4516101 5049714 5185153 5490162 7574571 8235243 9032202 10370306 15149142 15555459 15712883 16470486 22723713 31110918 31425766 45447426 46666377 47138649 93332754 94277298 139999131 141415947 267119011 279998262 282831894 424247841 487099373 534238022 801357033 848495682 974198746 1461298119 1602714066 2404071099 2922596238 4383894357 4808142198 7212213297 8280689341 8767788714 13151683071 14424426594 16561378682 24842068023 26303366142 49684136046 74526204069 149052408138 223578612207 447157224414