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245120211414 = 2321331163207307
BaseRepresentation
bin1110010001001001001…
…1011001100111010110
3212102200211220220121200
43210102103121213112
513004001233231124
6304335012453330
723465210263611
oct3442223314726
9772624826550
10245120211414
1194a55a72921
123b60a31a246
131a1650cc520
14bc146c3178
15659970abc9
hex39124d99d6

245120211414 has 96 divisors (see below), whose sum is σ = 594022001664. Its totient is φ = 72540515520.

The previous prime is 245120211389. The next prime is 245120211449. The reversal of 245120211414 is 414112021542.

245120211414 is a `hidden beast` number, since 2 + 4 + 512 + 0 + 2 + 1 + 141 + 4 = 666.

245120211414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1078749 + ... + 1286055.

It is an arithmetic number, because the mean of its divisors is an integer number (6187729184).

Almost surely, 2245120211414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245120211414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297011000832).

245120211414 is an abundant number, since it is smaller than the sum of its proper divisors (348901790250).

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

245120211414 is a wasteful number, since it uses less digits than its factorization.

245120211414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207522 (or 207519 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 245120211414 its reverse (414112021542), we get a palindrome (659232232956).

The spelling of 245120211414 in words is "two hundred forty-five billion, one hundred twenty million, two hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 163 186 234 279 326 403 489 558 806 978 1209 1467 2119 2418 2934 3627 4238 5053 6357 7254 10106 12714 15159 19071 30318 38142 45477 65689 90954 131378 197067 207307 394134 414614 591201 621921 1182402 1243842 1865763 2694991 3731526 5389982 6426517 8084973 12853034 16169946 19279551 24254919 33791041 38559102 48509838 57838653 67582082 83544721 101373123 115677306 167089442 202746246 250634163 304119369 439283533 501268326 608238738 751902489 878567066 1047522271 1317850599 1503804978 2095044542 2635701198 3142566813 3953551797 6285133626 7907103594 9427700439 13617789523 18855400878 27235579046 40853368569 81706737138 122560105707 245120211414