Search a number
-
+
120267463234399 = 1317191229227310253
BaseRepresentation
bin11011010110000111110011…
…011011001001001101011111
3120202211110100022001010002221
4123112013303123021031133
5111230430231042000044
61103442035422130211
734222015566154555
oct3326076333111537
9522743308033087
10120267463234399
11353591656a1988
12115a4782120967
135215233460750
14219ad94ca5bd5
15dd867564b484
hex6d61f36c935f

120267463234399 has 64 divisors (see below), whose sum is σ = 144550441123200. Its totient is φ = 98852811374592.

The previous prime is 120267463234351. The next prime is 120267463234439. The reversal of 120267463234399 is 993432364762021.

It is a cyclic number.

It is not a de Polignac number, because 120267463234399 - 219 = 120267462710111 is a prime.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120267463234799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11729972757 + ... + 11729983009.

It is an arithmetic number, because the mean of its divisors is an integer number (2258600642550).

Almost surely, 2120267463234399 is an apocalyptic number.

120267463234399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

120267463234399 is a deficient number, since it is larger than the sum of its proper divisors (24282977888801).

120267463234399 is a wasteful number, since it uses less digits than its factorization.

120267463234399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13804.

The product of its (nonzero) digits is 70543872, while the sum is 61.

The spelling of 120267463234399 in words is "one hundred twenty trillion, two hundred sixty-seven billion, four hundred sixty-three million, two hundred thirty-four thousand, three hundred ninety-nine".

Divisors: 1 13 17 19 221 247 323 1229 2273 4199 10253 15977 20893 23351 29549 38641 43187 133289 174301 194807 271609 303563 396967 502333 561431 734179 2265913 2532491 2793517 3311719 5160571 9544327 12600937 23305069 36315721 43052347 47489789 53076823 163812181 214215929 239417803 302965897 396186173 442796311 617367257 689998699 902305991 2784807077 3112431439 4070102651 5150420249 5756352043 7527537287 11729977883 28641929801 52911334463 97857984731 372345087413 486912806617 544196666219 6329866486021 7074556660847 9251343325723 120267463234399