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23234343211400 = 23521307566915679
BaseRepresentation
bin1010100100001101010101…
…10001100001000110001000
310001021011220022211100221212
411102012222301201012020
511021132413330231100
6121225413201552252
74615424453506526
oct522065261410610
9101234808740855
1023234343211400
1174486a202aa52
122732b7a645688
13cc6cb2266869
145a4796415316
152a45a2ae5635
hex1521aac61188

23234343211400 has 96 divisors (see below), whose sum is σ = 54074164032000. Its totient is φ = 9284396209920.

The previous prime is 23234343211351. The next prime is 23234343211433. The reversal of 23234343211400 is 411234343232.

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 23 ways as a sum of consecutive naturals, for example, 1481868761 + ... + 1481884439.

It is an arithmetic number, because the mean of its divisors is an integer number (563272542000).

Almost surely, 223234343211400 is an apocalyptic number.

23234343211400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23234343211400 is an abundant number, since it is smaller than the sum of its proper divisors (30839820820600).

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

23234343211400 is a wasteful number, since it uses less digits than its factorization.

23234343211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22671 (or 22662 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 23234343211400 its reverse (411234343232), we get a palindrome (23645577554632).

The spelling of 23234343211400 in words is "twenty-three trillion, two hundred thirty-four billion, three hundred forty-three million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1307 2614 5228 5669 6535 10456 11338 13070 15679 22676 26140 28345 31358 32675 45352 52280 56690 62716 65350 78395 113380 125432 130700 141725 156790 226760 261400 283450 313580 391975 566900 627160 783950 1133800 1567900 3135800 7409383 14818766 20492453 29637532 37046915 40984906 59275064 74093830 81969812 88884251 102462265 148187660 163939624 177768502 185234575 204924530 296375320 355537004 370469150 409849060 444421255 512311325 711074008 740938300 819698120 888842510 1024622650 1481876600 1777685020 2049245300 2222106275 3555370040 4098490600 4444212550 8888425100 17776850200 116171716057 232343432114 464686864228 580858580285 929373728456 1161717160570 2323434321140 2904292901425 4646868642280 5808585802850 11617171605700 23234343211400