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23153414414120 = 23597157110934273
BaseRepresentation
bin1010100001110110100110…
…00010101001111100101000
310000222110000021000111121122
411100323103002221330220
511013321143042222440
6121124310504554412
74606531123210244
oct520732302517450
9100873007014548
1023153414414120
117417342912811
12271b353782a08
13cbc485894973
145a08ba185424
152a2417d0c7b5
hex150ed30a9f28

23153414414120 has 128 divisors (see below), whose sum is σ = 53016791738400. Its totient is φ = 9099028463616.

The previous prime is 23153414414113. The next prime is 23153414414161. The reversal of 23153414414120 is 2141441435132.

It can be written as a sum of positive squares in 16 ways, for example, as 237681600676 + 22915732813444 = 487526^2 + 4787038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675541304 + ... + 675575576.

Almost surely, 223153414414120 is an apocalyptic number.

23153414414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23153414414120 is an abundant number, since it is smaller than the sum of its proper divisors (29863377324280).

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

23153414414120 is a wasteful number, since it uses less digits than its factorization.

23153414414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35647 (or 35643 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 23153414414120 its reverse (2141441435132), we get a palindrome (25294855849252).

The spelling of 23153414414120 in words is "twenty-three trillion, one hundred fifty-three billion, four hundred fourteen million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 157 194 314 388 485 628 776 785 970 1109 1256 1570 1940 2218 3140 3880 4436 5545 6280 8872 11090 15229 22180 30458 34273 44360 60916 68546 76145 107573 121832 137092 152290 171365 174113 215146 274184 304580 342730 348226 430292 537865 609160 685460 696452 860584 870565 1075730 1370920 1392904 1741130 2151460 3324481 3482260 4302920 5380861 6648962 6964520 10761722 13297924 16622405 16888961 21523444 26595848 26904305 33244810 33777922 38008757 43046888 53808610 66489620 67555844 76017514 84444805 107617220 132979240 135111688 152035028 168889610 190043785 215234440 304070056 337779220 380087570 521943517 675558440 760175140 1043887034 1520350280 2087774068 2609717585 3686849429 4175548136 5219435170 5967374849 7373698858 10438870340 11934749698 14747397716 18434247145 20877740680 23869499396 29494795432 29836874245 36868494290 47738998792 59673748490 73736988580 119347496980 147473977160 238694993960 578835360353 1157670720706 2315341441412 2894176801765 4630682882824 5788353603530 11576707207060 23153414414120