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4320377741240 = 23511101864711243
BaseRepresentation
bin111110110111101010100…
…101001001111110111000
3120022000122112221020111022
4332313222211021332320
51031241113200204430
613104430520522012
7624064662610001
oct76675245117670
916260575836438
104320377741240
11141629766a530
12599399920308
1325454364bca2
1410d1709b61a8
15775b264d4e5
hex3edea949fb8

4320377741240 has 128 divisors (see below), whose sum is σ = 10711750417920. Its totient is φ = 1555173312000.

The previous prime is 4320377741233. The next prime is 4320377741311. The reversal of 4320377741240 is 421477730234.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4320377741191 and 4320377741200.

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, 384267059 + ... + 384278301.

It is an arithmetic number, because the mean of its divisors is an integer number (83685550140).

Almost surely, 24320377741240 is an apocalyptic number.

4320377741240 is a gapful number since it is divisible by the number (40) 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 4320377741240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355875208960).

4320377741240 is an abundant number, since it is smaller than the sum of its proper divisors (6391372676680).

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

4320377741240 is a wasteful number, since it uses less digits than its factorization.

4320377741240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20013 (or 20009 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 44.

The spelling of 4320377741240 in words is "four trillion, three hundred twenty billion, three hundred seventy-seven million, seven hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8647 8888 11110 11243 17294 22220 22486 34588 43235 44440 44972 56215 69176 86470 89944 95117 112430 123673 172940 190234 224860 247346 345880 380468 449720 475585 494692 618365 760936 873347 951170 989384 1135543 1236730 1746694 1902340 2271086 2473460 3493388 3804680 4366735 4542172 4946920 5677715 6986776 8733470 9084344 9606817 11355430 12490973 17466940 19213634 22710860 24981946 34933880 38427268 45421720 48034085 49963892 62454865 76854536 96068170 97218221 99927784 124909730 192136340 194436442 249819460 384272680 388872884 486091105 499638920 777745768 972182210 1069400431 1944364420 2138800862 3888728840 4277601724 5347002155 8555203448 9819040321 10694004310 19638080642 21388008620 39276161284 42776017240 49095201605 78552322568 98190403210 108009443531 196380806420 216018887062 392761612840 432037774124 540047217655 864075548248 1080094435310 2160188870620 4320377741240