Search a number
-
+
123934831104 = 293719957923
BaseRepresentation
bin111001101101100010…
…1110111001000000000
3102211220020020202000210
41303123011313020000
54012304304043404
6132533533314120
711645135453130
oct1633305671000
9384806222023
10123934831104
1148618a87a57
1220029635940
13b8c146c1b6
145dd9b74ac0
153355656689
hex1cdb177200

123934831104 has 160 divisors (see below), whose sum is σ = 379240012800. Its totient is φ = 35231404032.

The previous prime is 123934831099. The next prime is 123934831117. The reversal of 123934831104 is 401138439321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110687 + ... + 2168609.

It is an arithmetic number, because the mean of its divisors is an integer number (2370250080).

Almost surely, 2123934831104 is an apocalyptic number.

123934831104 is a gapful number since it is divisible by the number (14) 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 123934831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189620006400).

123934831104 is an abundant number, since it is smaller than the sum of its proper divisors (255305181696).

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

123934831104 is an equidigital number, since it uses as much as digits as its factorization.

123934831104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58150 (or 58134 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 123934831104 in words is "one hundred twenty-three billion, nine hundred thirty-four million, eight hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 199 224 256 336 384 398 448 512 597 672 768 796 896 1194 1344 1393 1536 1592 1792 2388 2688 2786 3184 3584 4179 4776 5376 5572 6368 8358 9552 10752 11144 12736 16716 19104 22288 25472 33432 38208 44576 50944 57923 66864 76416 89152 101888 115846 133728 152832 173769 178304 231692 267456 305664 347538 356608 405461 463384 534912 695076 713216 810922 926768 1069824 1216383 1390152 1621844 1853536 2139648 2432766 2780304 3243688 3707072 4865532 5560608 6487376 7414144 9731064 11121216 11526677 12974752 14828288 19462128 22242432 23053354 25949504 29656576 34580031 38924256 44484864 46106708 51899008 69160062 77848512 80686739 88969728 92213416 103798016 138320124 155697024 161373478 184426832 207596032 242060217 276640248 311394048 322746956 368853664 484120434 553280496 622788096 645493912 737707328 968240868 1106560992 1290987824 1475414656 1936481736 2213121984 2581975648 2950829312 3872963472 4426243968 5163951296 5901658624 7745926944 8852487936 10327902592 15491853888 17704975872 20655805184 30983707776 41311610368 61967415552 123934831104