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424424706048 = 2123271644751
BaseRepresentation
bin1100010110100011010…
…11110001000000000000
31111120111212221222212100
412023101223301000000
523423210211043143
6522551130230400
742443432322360
oct6132153610000
91446455858770
10424424706048
11153aa7755582
126a30ab85400
133103b919425
1416783d949a0
15b090d2d6d3
hex62d1af1000

424424706048 has 156 divisors (see below), whose sum is σ = 1401105017728. Its totient is φ = 121264128000.

The previous prime is 424424706011. The next prime is 424424706061. The reversal of 424424706048 is 840607424424.

424424706048 is a `hidden beast` number, since 42 + 4 + 42 + 470 + 60 + 48 = 666.

It is a super-2 number, since 2×4244247060482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424424705994 and 424424706012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564328 + ... + 1080423.

Almost surely, 2424424706048 is an apocalyptic number.

424424706048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

424424706048 is an abundant number, since it is smaller than the sum of its proper divisors (976680311680).

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

424424706048 is a wasteful number, since it uses less digits than its factorization.

424424706048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644788 (or 1644763 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 424424706048 in words is "four hundred twenty-four billion, four hundred twenty-four million, seven hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 9216 10752 12288 14336 16128 18432 21504 28672 32256 36864 43008 64512 86016 129024 258048 1644751 3289502 4934253 6579004 9868506 11513257 13158008 14802759 19737012 23026514 26316016 29605518 34539771 39474024 46053028 52632032 59211036 69079542 78948048 92106056 103619313 105264064 118422072 138159084 157896096 184212112 207238626 210528128 236844144 276318168 315792192 368424224 414477252 421056256 473688288 552636336 631584384 736848448 828954504 842112512 947376576 1105272672 1263168768 1473696896 1657909008 1684225024 1894753152 2210545344 2526337536 2947393792 3315818016 3368450048 3789506304 4421090688 5052675072 5894787584 6631636032 6736900096 7579012608 8842181376 10105350144 11789575168 13263272064 15158025216 17684362752 20210700288 23579150336 26526544128 30316050432 35368725504 47158300672 53053088256 60632100864 70737451008 106106176512 141474902016 212212353024 424424706048