Search a number
-
+
255440044552 = 2371110110738371
BaseRepresentation
bin1110110111100101101…
…0011100001000001000
3220102100001111202022211
43231321122130020020
513141120122411202
6313203022354504
724312020360650
oct3557132341010
9812301452284
10255440044552
1199371278240
124160a42ba34
131b11b13cc74
14c5130dd360
1569a06e41d7
hex3b7969c208

255440044552 has 128 divisors (see below), whose sum is σ = 608696570880. Its totient is φ = 97613280000.

The previous prime is 255440044543. The next prime is 255440044553.

255440044552 is nontrivially palindromic in base 10.

255440044552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (255440044553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6637927 + ... + 6676297.

It is an arithmetic number, because the mean of its divisors is an integer number (4755441960).

Almost surely, 2255440044552 is an apocalyptic number.

255440044552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255440044552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304348285440).

255440044552 is an abundant number, since it is smaller than the sum of its proper divisors (353256526328).

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

255440044552 is a wasteful number, since it uses less digits than its factorization.

255440044552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38603 (or 38599 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

It can be divided in two parts, 2554400 and 44552, that added together give a palindrome (2598952).

The spelling of 255440044552 in words is "two hundred fifty-five billion, four hundred forty million, forty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 107 154 202 214 308 404 428 616 707 749 808 856 1111 1177 1414 1498 2222 2354 2828 2996 4444 4708 5656 5992 7777 8239 8888 9416 10807 15554 16478 21614 31108 32956 38371 43228 62216 65912 75649 76742 86456 118877 151298 153484 237754 268597 302596 306968 422081 475508 537194 605192 832139 844162 951016 1074388 1664278 1688324 2148776 2954567 3328556 3376648 3875471 4105697 5909134 6657112 7750942 8211394 11818268 15501884 16422788 23636536 27128297 28739879 31003768 32845576 42630181 45162667 54256594 57479758 85260362 90325334 108513188 114959516 170520724 180650668 217026376 229919032 298411267 316138669 341041448 361301336 414675397 596822534 632277338 829350794 1193645068 1264554676 1658701588 2387290136 2529109352 2902727779 3317403176 4561429367 5805455558 9122858734 11610911116 18245717468 23221822232 31930005569 36491434936 63860011138 127720022276 255440044552