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23033331141400 = 2352109238325309
BaseRepresentation
bin1010011110010110111011…
…00001010100101100011000
310000112222001110011012102101
411033023131201110230120
511004334230233011100
6120553211035413144
74565050263221236
oct517133541245430
9100488043135371
1023033331141400
117380420a51668
12270001bbb41b4
13cb10593726c8
14598b67b63956
1529e23a8a886a
hex14f2dd854b18

23033331141400 has 144 divisors (see below), whose sum is σ = 54191569017600. Its totient is φ = 9104611714560.

The previous prime is 23033331141313. The next prime is 23033331141409. The reversal of 23033331141400 is 414113333032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23033331141409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 910071946 + ... + 910097254.

It is an arithmetic number, because the mean of its divisors is an integer number (376330340400).

Almost surely, 223033331141400 is an apocalyptic number.

23033331141400 is a gapful number since it is divisible by the number (20) 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 23033331141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095784508800).

23033331141400 is an abundant number, since it is smaller than the sum of its proper divisors (31158237876200).

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

23033331141400 is a wasteful number, since it uses less digits than its factorization.

23033331141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25926 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 23033331141400 its reverse (414113333032), we get a palindrome (23447444474432).

The spelling of 23033331141400 in words is "twenty-three trillion, thirty-three billion, three hundred thirty-one million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 383 436 545 766 872 1090 1532 1915 2180 2725 3064 3830 4360 5450 7660 9575 10900 11881 15320 19150 21800 23762 25309 38300 41747 47524 50618 59405 76600 83494 95048 101236 118810 126545 166988 202472 208735 237620 253090 297025 333976 417470 475240 506180 594050 632725 834940 1012360 1043675 1188100 1265450 1669880 2087350 2376200 2530900 2758681 4174700 4550423 5061800 5517362 8349400 9100846 9693347 11034724 13793405 18201692 19386694 22069448 22752115 27586810 36403384 38773388 45504230 48466735 55173620 68967025 77546776 91008460 96933470 110347240 113760575 137934050 182016920 193866940 227521150 242333675 275868100 300696229 387733880 455042300 484667350 551736200 601392458 910084600 969334700 1056574823 1202784916 1503481145 1938669400 2113149646 2405569832 3006962290 4226299292 5282874115 6013924580 7517405725 8452598584 10565748230 12027849160 15034811450 21131496460 26414370575 30069622900 42262992920 52828741150 60139245800 105657482300 115166655707 211314964600 230333311414 460666622828 575833278535 921333245656 1151666557070 2303333114140 2879166392675 4606666228280 5758332785350 11516665570700 23033331141400