Search a number
-
+
42820861941 = 32112133781749
BaseRepresentation
bin100111111000010100…
…100111111111110101
311002112021000011121200
4213320110213333311
51200144120040231
631401023403113
73044066215044
oct477024477765
9132467004550
1042820861941
1117184295400
128370753499
134065605340
1421030a255b
1511a9492be6
hex9f8527ff5

42820861941 has 72 divisors (see below), whose sum is σ = 75195939000. Its totient is φ = 23307989760.

The previous prime is 42820861931. The next prime is 42820861973. The reversal of 42820861941 is 14916802824.

42820861941 is a `hidden beast` number, since 4 + 2 + 8 + 20 + 8 + 619 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 553613841 + 42267248100 = 23529^2 + 205590^2 .

It is not a de Polignac number, because 42820861941 - 29 = 42820861429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42820861921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 482935 + ... + 564683.

Almost surely, 242820861941 is an apocalyptic number.

It is an amenable number.

42820861941 is a deficient number, since it is larger than the sum of its proper divisors (32375077059).

42820861941 is a wasteful number, since it uses less digits than its factorization.

42820861941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81827 (or 81813 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 42820861941 in words is "forty-two billion, eight hundred twenty million, eight hundred sixty-one thousand, nine hundred forty-one".

Divisors: 1 3 9 11 13 33 37 39 99 111 117 121 143 333 363 407 429 481 1089 1221 1287 1443 1573 3663 4329 4477 4719 5291 13431 14157 15873 40293 47619 58201 81749 174603 245247 523809 735741 899239 1062737 2697717 3024713 3188211 8093151 9074139 9564633 9891629 11690107 27222417 29674887 33271843 35070321 39321269 89024661 99815529 105210963 117963807 128591177 299446587 353891421 365990273 385773531 432533959 1097970819 1157320593 1297601877 3293912457 3892805631 4757873549 14273620647 42820861941