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42334000020 = 2232513107169079
BaseRepresentation
bin100111011011010011…
…011001001110010100
311001021022220000121200
4213123103121032110
51143200001000040
631240432312500
73026035030404
oct473323311624
9131238800550
1042334000020
1116a54491884
1282556a2730
133cb87a0270
14209856a804
15117b872630
hex9db4d9394

42334000020 has 144 divisors (see below), whose sum is σ = 139584332160. Its totient is φ = 10323226368.

The previous prime is 42333999979. The next prime is 42334000063. The reversal of 42334000020 is 2000043324.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42333999957 and 42334000002.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 165841 + ... + 334919.

It is an arithmetic number, because the mean of its divisors is an integer number (969335640).

Almost surely, 242334000020 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 42334000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69792166080).

42334000020 is an abundant number, since it is smaller than the sum of its proper divisors (97250332140).

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

42334000020 is a wasteful number, since it uses less digits than its factorization.

42334000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169214 (or 169209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 42334000020 its reverse (2000043324), we get a palindrome (44334043344).

The spelling of 42334000020 in words is "forty-two billion, three hundred thirty-four million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 107 117 130 156 180 195 214 234 260 321 390 428 468 535 585 642 780 963 1070 1170 1284 1391 1605 1926 2140 2340 2782 3210 3852 4173 4815 5564 6420 6955 8346 9630 12519 13910 16692 19260 20865 25038 27820 41730 50076 62595 83460 125190 169079 250380 338158 507237 676316 845395 1014474 1521711 1690790 2028948 2198027 2536185 3043422 3381580 4396054 5072370 6086844 6594081 7608555 8792108 10144740 10990135 13188162 15217110 18091453 19782243 21980270 26376324 30434220 32970405 36182906 39564486 43960540 54274359 65940810 72365812 79128972 90457265 98911215 108548718 131881620 162823077 180914530 197822430 217097436 235188889 271371795 325646154 361829060 395644860 470377778 542743590 651292308 705566667 814115385 940755556 1085487180 1175944445 1411133334 1628230770 2116700001 2351888890 2822266668 3256461540 3527833335 4233400002 4703777780 7055666670 8466800004 10583500005 14111333340 21167000010 42334000020