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4285023404080 = 2451727146325111
BaseRepresentation
bin111110010110101111010…
…011000100000000110000
3120011122101122111211100111
4332112233103010000300
51030201211442412310
613040302414431104
7621403605653506
oct76265723040060
916148348454314
104285023404080
1114022a5001771
12592571802494
132510cabb3c63
1410b5793d0676
15766e392928a
hex3e5af4c4030

4285023404080 has 160 divisors (see below), whose sum is σ = 10610934571008. Its totient is φ = 1603697356800.

The previous prime is 4285023404071. The next prime is 4285023404107. The reversal of 4285023404080 is 804043205824.

It is a super-3 number, since 3×42850234040803 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170630725 + ... + 170655835.

Almost surely, 24285023404080 is an apocalyptic number.

4285023404080 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 4285023404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305467285504).

4285023404080 is an abundant number, since it is smaller than the sum of its proper divisors (6325911166928).

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

4285023404080 is a wasteful number, since it uses less digits than its factorization.

4285023404080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25875 (or 25869 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 4285023404080 in words is "four trillion, two hundred eighty-five billion, twenty-three million, four hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 271 272 340 463 542 680 926 1084 1355 1360 1852 2168 2315 2710 3704 4336 4607 4630 5420 7408 7871 9214 9260 10840 15742 18428 18520 21680 23035 25111 31484 36856 37040 39355 46070 50222 62968 73712 78710 92140 100444 125473 125555 125936 157420 184280 200888 250946 251110 314840 368560 401776 426887 501892 502220 627365 629680 853774 1003784 1004440 1254730 1707548 2007568 2008880 2133041 2134435 2509460 3415096 4266082 4268870 5018920 6805081 6830192 8532164 8537740 10037840 10665205 11626393 13610162 17064328 17075480 21330410 23252786 27220324 34025405 34128656 34150960 42660820 46505572 54440648 58131965 68050810 85321640 93011144 108881296 115686377 116263930 136101620 170643280 186022288 197648681 231372754 232527860 272203240 395297362 462745508 465055720 544406480 578431885 790594724 925491016 930111440 988243405 1156863770 1581189448 1850982032 1976486810 2313727540 3150752503 3162378896 3952973620 4627455080 6301505006 7905947240 9254910160 12603010012 15753762515 15811894480 25206020024 31507525030 50412040048 53562792551 63015050060 107125585102 126030100120 214251170204 252060200240 267813962755 428502340408 535627925510 857004680816 1071255851020 2142511702040 4285023404080