Search a number
-
+
114551211552 = 2534367341233
BaseRepresentation
bin110101010101111001…
…0001100011000100000
3101221200021022110220220
41222223302030120200
53334100102232202
6124342450003040
711163454142541
oct1525362143040
9357607273826
10114551211552
1144643199778
121a24ab76480
13aa573943ab
1457898204c8
152ea694eabc
hex1aabc8c620

114551211552 has 96 divisors (see below), whose sum is σ = 308154547008. Its totient is φ = 37239422976.

The previous prime is 114551211491. The next prime is 114551211553. The reversal of 114551211552 is 255112155411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (114551211553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2757528 + ... + 2798760.

It is an arithmetic number, because the mean of its divisors is an integer number (3209943198).

Almost surely, 2114551211552 is an apocalyptic number.

114551211552 is a gapful number since it is divisible by the number (12) 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 114551211552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154077273504).

114551211552 is an abundant number, since it is smaller than the sum of its proper divisors (193603335456).

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

114551211552 is a wasteful number, since it uses less digits than its factorization.

114551211552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41962 (or 41954 counting only the distinct ones).

The product of its digits is 10000, while the sum is 33.

Adding to 114551211552 its reverse (255112155411), we get a palindrome (369663366963).

The spelling of 114551211552 in words is "one hundred fourteen billion, five hundred fifty-one million, two hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 673 688 1032 1346 1376 2019 2064 2692 4038 4128 5384 8076 10768 16152 21536 28939 32304 41233 57878 64608 82466 86817 115756 123699 164932 173634 231512 247398 329864 347268 463024 494796 659728 694536 926048 989592 1319456 1389072 1773019 1979184 2778144 3546038 3958368 5319057 7092076 10638114 14184152 21276228 27749809 28368304 42552456 55499618 56736608 83249427 85104912 110999236 166498854 170209824 221998472 332997708 443996944 665995416 887993888 1193241787 1331990832 2386483574 2663981664 3579725361 4772967148 7159450722 9545934296 14318901444 19091868592 28637802888 38183737184 57275605776 114551211552