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23114400033204 = 22328344811726343
BaseRepresentation
bin1010100000101101111011…
…00110100110100110110100
310000211201022021120121022200
411100112331212212212310
511012201242402030304
6121054335255224500
74603650244353414
oct520267546464664
9100751267517280
1023114400033204
1174018422559a7
122713885978130
13cb88a8a8597c
1459ca58860644
152a13d2b15e39
hex1505bd9a69b4

23114400033204 has 72 divisors (see below), whose sum is σ = 59145249788352. Its totient is φ = 7610267965440.

The previous prime is 23114400033191. The next prime is 23114400033223. The reversal of 23114400033204 is 40233000441132.

23114400033204 is a `hidden beast` number, since 2 + 3 + 11 + 440 + 0 + 0 + 3 + 3 + 204 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12526057 + ... + 14252399.

It is an arithmetic number, because the mean of its divisors is an integer number (821461802616).

Almost surely, 223114400033204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23114400033204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29572624894176).

23114400033204 is an abundant number, since it is smaller than the sum of its proper divisors (36030849755148).

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

23114400033204 is a wasteful number, since it uses less digits than its factorization.

23114400033204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730917 (or 1730912 counting only the distinct ones).

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

Adding to 23114400033204 its reverse (40233000441132), we get a palindrome (63347400474336).

The spelling of 23114400033204 in words is "twenty-three trillion, one hundred fourteen billion, four hundred million, thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 4481 8962 13443 17924 26886 40329 53772 80658 161316 371923 743846 1115769 1487692 1726343 2231538 3347307 3452686 4463076 5179029 6694614 6905372 10358058 13389228 15537087 20716116 31074174 62148348 143286469 286572938 429859407 573145876 859718814 1289578221 1719437628 2579156442 5158312884 7735742983 15471485966 23207228949 30942971932 46414457898 69621686847 92828915796 139243373694 278486747388 642066667589 1284133335178 1926200002767 2568266670356 3852400005534 5778600008301 7704800011068 11557200016602 23114400033204