Search a number
-
+
30542042376 = 233217211118259
BaseRepresentation
bin11100011100011100…
…101001010100001000
32220211112020111201200
4130130130221110020
51000022230324001
622010353544200
72130601035216
oct343434512410
986745214650
1030542042376
1111a5320653a
125b04575060
132b5977a531
14169a425cb6
15bdb4e9086
hex71c729508

30542042376 has 96 divisors (see below), whose sum is σ = 87999631200. Its totient is φ = 9536325120.

The previous prime is 30542042353. The next prime is 30542042389. The reversal of 30542042376 is 67324024503.

30542042376 is a `hidden beast` number, since 3 + 0 + 542 + 0 + 42 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30542042376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199135 + ... + 317393.

It is an arithmetic number, because the mean of its divisors is an integer number (916662825).

Almost surely, 230542042376 is an apocalyptic number.

30542042376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30542042376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999815600).

30542042376 is an abundant number, since it is smaller than the sum of its proper divisors (57457588824).

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

30542042376 is a wasteful number, since it uses less digits than its factorization.

30542042376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118499 (or 118492 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 30542042376 its reverse (67324024503), we get a palindrome (97866066879).

The spelling of 30542042376 in words is "thirty billion, five hundred forty-two million, forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 211 306 408 422 612 633 844 1224 1266 1688 1899 2532 3587 3798 5064 7174 7596 10761 14348 15192 21522 28696 32283 43044 64566 86088 118259 129132 236518 258264 354777 473036 709554 946072 1064331 1419108 2010403 2128662 2838216 4020806 4257324 6031209 8041612 8514648 12062418 16083224 18093627 24124836 24952649 36187254 48249672 49905298 72374508 74857947 99810596 144749016 149715894 199621192 224573841 299431788 424195033 449147682 598863576 848390066 898295364 1272585099 1696780132 1796590728 2545170198 3393560264 3817755297 5090340396 7635510594 10180680792 15271021188 30542042376