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20014143410640 = 24352112291725869
BaseRepresentation
bin1001000110011111001111…
…11010001001000111010000
32121212100000001210012122110
410203033213322021013100
510110402431203120030
6110322212012305320
74133655063024141
oct443174772110720
977770001705573
1020014143410640
116416a50207865
1222b2a60172240
13b22430525482
144d29927c5ac8
1524a9318961b0
hex1233e7e891d0

20014143410640 has 160 divisors (see below), whose sum is σ = 62610145372800. Its totient is φ = 5288611829760.

The previous prime is 20014143410633. The next prime is 20014143410669. The reversal of 20014143410640 is 4601434141002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20014143410598 and 20014143410607.

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, 10733626 + ... + 12459494.

It is an arithmetic number, because the mean of its divisors is an integer number (391313408580).

Almost surely, 220014143410640 is an apocalyptic number.

20014143410640 is a gapful number since it is divisible by the number (20) 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 20014143410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31305072686400).

20014143410640 is an abundant number, since it is smaller than the sum of its proper divisors (42596001962160).

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

20014143410640 is a wasteful number, since it uses less digits than its factorization.

20014143410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726325 (or 1726319 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 20014143410640 its reverse (4601434141002), we get a palindrome (24615577551642).

The spelling of 20014143410640 in words is "twenty trillion, fourteen billion, one hundred forty-three million, four hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 229 240 422 458 633 687 844 916 1055 1145 1266 1374 1688 1832 2110 2290 2532 2748 3165 3376 3435 3664 4220 4580 5064 5496 6330 6870 8440 9160 10128 10992 12660 13740 16880 18320 25320 27480 48319 50640 54960 96638 144957 193276 241595 289914 386552 483190 579828 724785 773104 966380 1159656 1449570 1725869 1932760 2319312 2899140 3451738 3865520 5177607 5798280 6903476 8629345 10355214 11596560 13806952 17258690 20710428 25888035 27613904 34517380 41420856 51776070 69034760 82841712 103552140 138069520 207104280 364158359 395224001 414208560 728316718 790448002 1092475077 1185672003 1456633436 1580896004 1820791795 1976120005 2184950154 2371344006 2913266872 3161792008 3641583590 3952240010 4369900308 4742688012 5462375385 5826533744 5928360015 6323584016 7283167180 7904480020 8739800616 9485376024 10924750770 11856720030 14566334360 15808960040 17479601232 18970752048 21849501540 23713440060 29132668720 31617920080 43699003080 47426880120 83392264211 87398006160 94853760240 166784528422 250176792633 333569056844 416961321055 500353585266 667138113688 833922642110 1000707170532 1250883963165 1334276227376 1667845284220 2001414341064 2501767926330 3335690568440 4002828682128 5003535852660 6671381136880 10007071705320 20014143410640