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124214304430304 = 25112191697994949
BaseRepresentation
bin11100001111100011100101…
…011111011101100011100000
3121021210202211110001202210222
4130033203211133131203200
5112240111343413232204
61120103132542342212
735110121154613604
oct3417434537354340
9537722743052728
10124214304430304
113663aa99655200
1211b2169328a968
135440487c428ca
14229600c171504
15e5617479eabe
hex70f8e57dd8e0

124214304430304 has 144 divisors (see below), whose sum is σ = 283113858258000. Its totient is φ = 53457839677440.

The previous prime is 124214304430277. The next prime is 124214304430313. The reversal of 124214304430304 is 403034403412421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124347422 + ... + 125342370.

It is an arithmetic number, because the mean of its divisors is an integer number (1966068460125).

Almost surely, 2124214304430304 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 124214304430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141556929129000).

124214304430304 is an abundant number, since it is smaller than the sum of its proper divisors (158899553827696).

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

124214304430304 is a wasteful number, since it uses less digits than its factorization.

124214304430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996697 (or 996678 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 124214304430304 its reverse (403034403412421), we get a palindrome (527248707842725).

The spelling of 124214304430304 in words is "one hundred twenty-four trillion, two hundred fourteen billion, three hundred four million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 176 209 242 304 352 418 484 608 836 968 1672 1697 1936 2299 3344 3394 3872 4598 6688 6788 9196 13576 18392 18667 27152 32243 36784 37334 54304 64486 73568 74668 128972 149336 205337 257944 298672 354673 410674 515888 597344 709346 821348 994949 1031776 1418692 1642696 1989898 2837384 3285392 3901403 3979796 5674768 6570784 7802806 7959592 10944439 11349536 15605612 15919184 18904031 21888878 31211224 31838368 37808062 43777756 62422448 75616124 87555512 120388829 124844896 151232248 175111024 207944341 240777658 302464496 350222048 415888682 481555316 604928992 831777364 963110632 1663554728 1688428453 1926221264 2287387751 3327109456 3376856906 3852442528 4574775502 6654218912 6753713812 9149551004 13507427624 18299102008 18572712983 27014855248 32080140607 36598204016 37145425966 54029710496 64160281214 73196408032 74290851932 128320562428 148581703864 204299842813 256641124856 297163407728 352881546677 408599685626 513282249712 594326815456 705763093354 817199371252 1026564499424 1411526186708 1634398742504 2823052373416 3268797485008 3881697013447 5646104746832 6537594970016 7763394026894 11292209493664 15526788053788 31053576107576 62107152215152 124214304430304