Search a number
-
+
114030033424002 = 23223229694033489
BaseRepresentation
bin11001111011010110101111…
…101000101100111010000010
3112221202011110002102111112100
4121323112233220230322002
5104421232002024032002
61042304401342211230
733006253346440623
oct3173265750547202
9487664402374470
10114030033424002
1133373958124833
121095794b583b16
134b81ca83655a7
142023123d09a4a
15d2b2b21ea11c
hex67b5afa2ce82

114030033424002 has 72 divisors (see below), whose sum is σ = 258361128125100. Its totient is φ = 36345147277824.

The previous prime is 114030033423907. The next prime is 114030033424007. The reversal of 114030033424002 is 200424330030411.

114030033424002 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 300 + 334 + 24 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113718357982161 + 311675441841 = 10663881^2 + 558279^2 .

It is not an unprimeable number, because it can be changed into a prime (114030033424007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26254074 + ... + 30287562.

Almost surely, 2114030033424002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114030033424002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129180564062550).

114030033424002 is an abundant number, since it is smaller than the sum of its proper divisors (144331094701098).

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

114030033424002 is a wasteful number, since it uses less digits than its factorization.

114030033424002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036512 (or 4036486 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 114030033424002 its reverse (200424330030411), we get a palindrome (314454363454413).

The spelling of 114030033424002 in words is "one hundred fourteen trillion, thirty billion, thirty-three million, four hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 2969 3174 4761 5938 8907 9522 17814 26721 53442 68287 136574 204861 409722 614583 1229166 1570601 3141202 4033489 4711803 8066978 9423606 12100467 14135409 24200934 28270818 36301401 72602802 92770247 185540494 278310741 556621482 834932223 1669864446 2133715681 4267431362 6401147043 11975428841 12802294086 19203441129 23950857682 35926286523 38406882258 71852573046 107778859569 215557719138 275434863343 550869726686 826304590029 1652609180058 2478913770087 4957827540174 6335001856889 12670003713778 19005005570667 38010011141334 57015016712001 114030033424002