Search a number
-
+
34201242243 = 32717791512677
BaseRepresentation
bin11111110110100011…
…011000101010000011
310021021112200010021200
4133312203120222003
51030021004222433
623413431152243
72320352522340
oct376643305203
9107245603250
1034201242243
1113560789563
126765b15683
1332c08b735c
1419263c57c7
15d528a1613
hex7f68d8a83

34201242243 has 96 divisors (see below), whose sum is σ = 60960706560. Its totient is φ = 18034099200.

The previous prime is 34201242241. The next prime is 34201242247. The reversal of 34201242243 is 34224210243.

34201242243 is a `hidden beast` number, since 3 + 420 + 12 + 4 + 224 + 3 = 666.

It is not a de Polignac number, because 34201242243 - 21 = 34201242241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34201242241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12774621 + ... + 12777297.

It is an arithmetic number, because the mean of its divisors is an integer number (635007360).

Almost surely, 234201242243 is an apocalyptic number.

34201242243 is a deficient number, since it is larger than the sum of its proper divisors (26759464317).

34201242243 is a wasteful number, since it uses less digits than its factorization.

34201242243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34201242243 its reverse (34224210243), we get a palindrome (68425452486).

The spelling of 34201242243 in words is "thirty-four billion, two hundred one million, two hundred forty-two thousand, two hundred forty-three".

Divisors: 1 3 7 9 17 21 51 63 79 119 151 153 237 357 453 553 711 1057 1071 1343 1359 1659 2567 2677 3171 4029 4977 7701 8031 9401 9513 11929 12087 17969 18739 23103 24093 28203 35787 45509 53907 56217 83503 84609 107361 136527 161721 168651 202793 211483 250509 318563 404227 409581 608379 634449 751527 955689 1212681 1419551 1480381 1825137 1903347 2829589 2867067 3595211 3638043 4258653 4441143 6871859 8488767 10785633 12775959 13323429 20615577 25166477 25466301 31933933 32356899 48103013 61846731 75499431 95801799 144309039 223537531 226498293 287405397 432927117 542876861 670612593 1628630583 2011837779 3800138027 4885891749 11400414081 34201242243