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245200041234 = 232232145117747
BaseRepresentation
bin1110010001011100001…
…1111011010100010010
3212102220102010200112200
43210113003323110102
513004132202304414
6304350543504030
723500166650611
oct3442703732422
9772812120480
10245200041234
1194a97038185
123b630bb8016
131a1788002c5
14bc21143878
1565a1729109
hex39170fb512

245200041234 has 72 divisors (see below), whose sum is σ = 555783660432. Its totient is φ = 78121441200.

The previous prime is 245200041221. The next prime is 245200041241. The reversal of 245200041234 is 432140002542.

245200041234 is a `hidden beast` number, since 2 + 45 + 200 + 0 + 412 + 3 + 4 = 666.

245200041234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245200041198 and 245200041207.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 13807549 + ... + 13825295.

It is an arithmetic number, because the mean of its divisors is an integer number (7719217506).

Almost surely, 2245200041234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245200041234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277891830216).

245200041234 is an abundant number, since it is smaller than the sum of its proper divisors (310583619198).

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

245200041234 is a wasteful number, since it uses less digits than its factorization.

245200041234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19252 (or 19226 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 245200041234 its reverse (432140002542), we get a palindrome (677340043776).

The spelling of 245200041234 in words is "two hundred forty-five billion, two hundred million, forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1451 1587 2902 3174 4353 4761 8706 9522 13059 17747 26118 33373 35494 53241 66746 100119 106482 159723 200238 300357 319446 408181 600714 767579 816362 1224543 1535158 2302737 2449086 3673629 4605474 6908211 7347258 9388163 13816422 18776326 25750897 28164489 51501794 56328978 77252691 84493467 154505382 168986934 231758073 463516146 592270631 1184541262 1776811893 3553623786 5330435679 10660871358 13622224513 27244449026 40866673539 81733347078 122600020617 245200041234