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21542123452344 = 23311196764099727
BaseRepresentation
bin1001110010111101010101…
…00111011011011110111000
32211021101222121210201212220
410321132222213123132320
510310421232100433334
6113452152003404040
74352236621053255
oct471365247333670
984241877721786
1021542123452344
116955a660a5660
1224bb011683620
13c0354b68c371
145469040c842c
15275560363449
hex1397aa9db7b8

21542123452344 has 128 divisors (see below), whose sum is σ = 62766453657600. Its totient is φ = 6092037959040.

The previous prime is 21542123452301. The next prime is 21542123452351. The reversal of 21542123452344 is 44325432124512.

It is a junction number, because it is equal to n+sod(n) for n = 21542123452296 and 21542123452305.

It is a congruent number.

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, 31713792 + ... + 32385935.

It is an arithmetic number, because the mean of its divisors is an integer number (490362919200).

Almost surely, 221542123452344 is an apocalyptic number.

21542123452344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21542123452344 is an abundant number, since it is smaller than the sum of its proper divisors (41224330205256).

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

21542123452344 is a wasteful number, since it uses less digits than its factorization.

21542123452344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64099833 (or 64099829 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

Adding to 21542123452344 its reverse (44325432124512), we get a palindrome (65867555576856).

The spelling of 21542123452344 in words is "twenty-one trillion, five hundred forty-two billion, one hundred twenty-three million, four hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 67 76 88 114 132 134 152 201 209 228 264 268 402 418 456 536 627 737 804 836 1254 1273 1474 1608 1672 2211 2508 2546 2948 3819 4422 5016 5092 5896 7638 8844 10184 14003 15276 17688 28006 30552 42009 56012 84018 112024 168036 336072 64099727 128199454 192299181 256398908 384598362 512797816 705096997 769196724 1217894813 1410193994 1538393448 2115290991 2435789626 2820387988 3653684439 4230581982 4294681709 4871579252 5640775976 7307368878 8461163964 8589363418 9743158504 12884045127 13396842943 14614737756 16922327928 17178726836 25768090254 26793685886 29229475512 34357453672 40190528829 47241498799 51536180508 53587371772 80381057658 81598952471 94482997598 103072361016 107174743544 141724496397 160762115316 163197904942 188965995196 244796857413 283448992794 321524230632 326395809884 377931990392 489593714826 566897985588 652791619768 897588477181 979187429652 1133795971176 1795176954362 1958374859304 2692765431543 3590353908724 5385530863086 7180707817448 10771061726172 21542123452344