Search a number
-
+
114102140400303 = 311121321487132661
BaseRepresentation
bin11001111100011001111001…
…100010111111001010101111
3112222000001120100102102112020
4121330121321202333022233
5104423422140420302203
61042401444421041223
733014415256561416
oct3174317142771257
9488001510372466
10114102140400303
11333a149a68a330
1210969913b56213
134b88a2a171283
1420268046a647d
15d2d0d27a0153
hex67c6798bf2af

114102140400303 has 32 divisors (see below), whose sum is σ = 166112555615232. Its totient is φ = 69092066102400.

The previous prime is 114102140400301. The next prime is 114102140400319. The reversal of 114102140400303 is 303004041201411.

It is not a de Polignac number, because 114102140400303 - 21 = 114102140400301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114102140400301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860036793 + ... + 860169453.

It is an arithmetic number, because the mean of its divisors is an integer number (5191017362976).

Almost surely, 2114102140400303 is an apocalyptic number.

114102140400303 is a deficient number, since it is larger than the sum of its proper divisors (52010415214929).

114102140400303 is a wasteful number, since it uses less digits than its factorization.

114102140400303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155375.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114102140400303 its reverse (303004041201411), we get a palindrome (417106181601714).

The spelling of 114102140400303 in words is "one hundred fourteen trillion, one hundred two billion, one hundred forty million, four hundred thousand, three hundred three".

Divisors: 1 3 11 33 1213 3639 13343 21487 40029 64461 132661 236357 397983 709071 1459271 4377813 26063731 78191193 160917793 286701041 482753379 860103123 1770095723 2850486907 5310287169 8551460721 31355355977 94066067931 3457640618191 10372921854573 38034046800101 114102140400303