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42410020340 = 225411392711373
BaseRepresentation
bin100111011111110101…
…011000110111110100
311001110121221020220002
4213133311120313310
51143323431122330
631252145530432
73030650140112
oct473765306764
9131417836802
1042410020340
1116a93394a96
128277043a18
133ccb4690bc
1420a46b8ab2
15118338be45
hex9dfd58df4

42410020340 has 96 divisors (see below), whose sum is σ = 92295866880. Its totient is φ = 16358630400.

The previous prime is 42410020319. The next prime is 42410020357. The reversal of 42410020340 is 4302001424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30887894 + ... + 30889266.

It is an arithmetic number, because the mean of its divisors is an integer number (961415280).

Almost surely, 242410020340 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 42410020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46147933440).

42410020340 is an abundant number, since it is smaller than the sum of its proper divisors (49885846540).

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

42410020340 is a wasteful number, since it uses less digits than its factorization.

42410020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42410020340 its reverse (4302001424), we get a palindrome (46712021764).

The spelling of 42410020340 in words is "forty-two billion, four hundred ten million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 139 164 205 271 278 410 542 556 695 820 1084 1355 1373 1390 2710 2746 2780 5420 5492 5699 6865 11111 11398 13730 22222 22796 27460 28495 37669 44444 55555 56293 56990 75338 111110 112586 113980 150676 188345 190847 222220 225172 281465 372083 376690 381694 562930 744166 753380 763388 954235 1125860 1488332 1544429 1860415 1908470 3088858 3720830 3816940 6177716 7441660 7722145 7824727 15255403 15444290 15649454 30510806 30888580 31298908 39123635 51719537 61021612 76277015 78247270 103439074 152554030 156494540 206878148 258597685 305108060 517195370 1034390740 2120501017 4241002034 8482004068 10602505085 21205010170 42410020340