Search a number
-
+
114255544033504 = 25173136211108037
BaseRepresentation
bin11001111110101000110001…
…000111011010000011100000
3112222112201112022102102101201
4121332220301013122003200
5104433430323233033004
61043000134453210544
733031455615131506
oct3176506107320340
9488481468372351
10114255544033504
113345055aa75485
12109935a6630a54
134b9a336919173
14202ddd80cc676
15d320b00a36a4
hex67ea311da0e0

114255544033504 has 96 divisors (see below), whose sum is σ = 238974017972256. Its totient is φ = 53586409144320.

The previous prime is 114255544033493. The next prime is 114255544033513. The reversal of 114255544033504 is 405330445552411.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057505374 + ... + 1057613410.

It is an arithmetic number, because the mean of its divisors is an integer number (2489312687211).

Almost surely, 2114255544033504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114255544033504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119487008986128).

114255544033504 is an abundant number, since it is smaller than the sum of its proper divisors (124718473938752).

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

114255544033504 is a wasteful number, since it uses less digits than its factorization.

114255544033504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114588 (or 114580 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 46.

Adding to 114255544033504 its reverse (405330445552411), we get a palindrome (519585989585915).

The spelling of 114255544033504 in words is "one hundred fourteen trillion, two hundred fifty-five billion, five hundred forty-four million, thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 313 544 626 1252 2504 5008 5321 6211 10016 10642 12422 21284 24844 42568 49688 85136 99376 105587 108037 170272 198752 211174 216074 422348 432148 844696 864296 1689392 1728592 1836629 1944043 3378784 3457184 3673258 3888086 7346516 7776172 14693032 15552344 29386064 31104688 33048731 33815581 58772128 62209376 66097462 67631162 132194924 135262324 264389848 270524648 528779696 541049296 574864877 671017807 1057559392 1082098592 1149729754 1342035614 2299459508 2684071228 4598919016 5368142456 9197838032 10736284912 11407302719 18395676064 21472569824 22814605438 45629210876 91258421752 182516843504 210028573591 365033687008 420057147182 840114294364 1680228588728 3360457177456 3570485751047 6720914354912 7140971502094 14281943004188 28563886008376 57127772016752 114255544033504