Search a number
-
+
114411213225440 = 25547911827126223
BaseRepresentation
bin11010000000111001101111…
…101110001111110111100000
3120000002121100011110201120222
4122000321233232033313200
5104444003131041203230
61043155441420222212
733045636343336235
oct3200715756176740
9500077304421528
10114411213225440
113350058319841a
12109b97ab99a968
134babc1486a861
14203776477978c
15d361717236e5
hex680e6fb8fde0

114411213225440 has 96 divisors (see below), whose sum is σ = 270885832519680. Its totient is φ = 45664720372224.

The previous prime is 114411213225433. The next prime is 114411213225473. The reversal of 114411213225440 is 44522312114411.

It is a self number, because there is not a number n which added to its sum of digits gives 114411213225440.

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, 906358169 + ... + 906484391.

It is an arithmetic number, because the mean of its divisors is an integer number (2821727422080).

Almost surely, 2114411213225440 is an apocalyptic number.

114411213225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114411213225440 is an abundant number, since it is smaller than the sum of its proper divisors (156474619294240).

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

114411213225440 is a wasteful number, since it uses less digits than its factorization.

114411213225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138544 (or 138536 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

Adding to 114411213225440 its reverse (44522312114411), we get a palindrome (158933525339851).

The spelling of 114411213225440 in words is "one hundred fourteen trillion, four hundred eleven billion, two hundred thirteen million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 479 958 1916 2395 3832 4790 7664 9580 11827 15328 19160 23654 38320 47308 59135 76640 94616 118270 126223 189232 236540 252446 378464 473080 504892 631115 946160 1009784 1262230 1892320 2019568 2524460 4039136 5048920 5665133 10097840 11330266 20195680 22660532 28325665 45321064 56651330 60460817 90642128 113302660 120921634 181284256 226605320 241843268 302304085 453210640 483686536 604608170 906421280 967373072 1209216340 1492839421 1934746144 2418432680 2985678842 4836865360 5971357684 7464197105 9673730720 11942715368 14928394210 23885430736 29856788420 47770861472 59713576840 119427153680 238854307360 715070082659 1430140165318 2860280330636 3575350413295 5720560661272 7150700826590 11441121322544 14301401653180 22882242645088 28602803306360 57205606612720 114411213225440