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245120304114 = 2347282737339
BaseRepresentation
bin1110010001001001001…
…1110000001111110010
3212102200212002121210000
43210102103300033302
513004001244212424
6304335014450430
723465211131100
oct3442223601762
9772625077700
10245120304114
1194a56026534
123b60a363a16
131a16513278a
14bc14708c70
1565997283c9
hex39124f03f2

245120304114 has 120 divisors (see below), whose sum is σ = 639714406320. Its totient is φ = 69947814384.

The previous prime is 245120304097. The next prime is 245120304119. The reversal of 245120304114 is 411403021542.

245120304114 is a `hidden beast` number, since 2 + 4 + 512 + 0 + 30 + 4 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (245120304119) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6546057 + ... + 6583395.

It is an arithmetic number, because the mean of its divisors is an integer number (5330953386).

Almost surely, 2245120304114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245120304114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319857203160).

245120304114 is an abundant number, since it is smaller than the sum of its proper divisors (394594102206).

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

245120304114 is a wasteful number, since it uses less digits than its factorization.

245120304114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38194 (or 38178 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 245120304114 its reverse (411403021542), we get a palindrome (656523325656).

The spelling of 245120304114 in words is "two hundred forty-five billion, one hundred twenty million, three hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 827 882 1134 1323 1654 2481 2646 3969 4962 5789 7443 7938 11578 14886 17367 22329 34734 37339 40523 44658 52101 66987 74678 81046 104202 112017 121569 133974 156303 224034 243138 261373 312606 336051 364707 468909 522746 672102 729414 784119 937818 1008153 1094121 1568238 1829611 2016306 2188242 2352357 3024459 3282363 3659222 4704714 5488833 6048918 6564726 7057071 10977666 14114142 16466499 21171213 30879353 32932998 42342426 49399497 61758706 92638059 98798994 148198491 185276118 216155471 277914177 296396982 432310942 555828354 648466413 833742531 1296932826 1513088297 1667485062 1945399239 2501227593 3026176594 3890798478 4539264891 5002455186 5836197717 9078529782 11672395434 13617794673 17508593151 27235589346 35017186302 40853384019 81706768038 122560152057 245120304114