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255404405214 = 232717197605261
BaseRepresentation
bin1110110111011101001…
…0011111000111011110
3220102020120110002100100
43231313102133013132
513141032011431324
6313155310441530
724311105424120
oct3556722370736
9812216402310
10255404405214
1199353145942
12415ba5032a6
131b1139421ba
14c50c4a3210
15699c5044c9
hex3b7749f1de

255404405214 has 96 divisors (see below), whose sum is σ = 673031975616. Its totient is φ = 68331432960.

The previous prime is 255404405213. The next prime is 255404405219. The reversal of 255404405214 is 412504404552.

255404405214 is a `hidden beast` number, since 2 + 55 + 40 + 4 + 40 + 521 + 4 = 666.

It is a super-2 number, since 2×2554044052142 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255404405213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119344 + ... + 724604.

It is an arithmetic number, because the mean of its divisors is an integer number (7010749746).

Almost surely, 2255404405214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255404405214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336515987808).

255404405214 is an abundant number, since it is smaller than the sum of its proper divisors (417627570402).

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

255404405214 is a wasteful number, since it uses less digits than its factorization.

255404405214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605490 (or 605487 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 255404405214 its reverse (412504404552), we get a palindrome (667908809766).

The spelling of 255404405214 in words is "two hundred fifty-five billion, four hundred four million, four hundred five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 197 238 306 357 394 591 714 1071 1182 1379 1773 2142 2758 3349 3546 4137 6698 8274 10047 12411 20094 23443 24822 30141 46886 60282 70329 140658 210987 421974 605261 1210522 1815783 3631566 4236827 5447349 8473654 10289437 10894698 12710481 20578874 25420962 30868311 38131443 61736622 72026059 76262886 92604933 119236417 144052118 185209866 216078177 238472834 357709251 432156354 648234531 715418502 834654919 1073127753 1296469062 1669309838 2027019089 2146255506 2503964757 4054038178 5007929514 6081057267 7511894271 12162114534 14189133623 15023788542 18243171801 28378267246 36486343602 42567400869 85134801738 127702202607 255404405214