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42404002420 = 22513298596547
BaseRepresentation
bin100111011111011110…
…011011101001110100
311001110012121111212011
4213133132123221310
51143320411034140
631251412534004
73030545034133
oct473736335164
9131405544764
1042404002420
1116a8aa546aa
128275021304
133cca13cbc0
1420a398d91a
151182a9dcea
hex9df79ba74

42404002420 has 96 divisors (see below), whose sum is σ = 99335779200. Its totient is φ = 15097065984.

The previous prime is 42404002369. The next prime is 42404002427. The reversal of 42404002420 is 2420040424.

It is a junction number, because it is equal to n+sod(n) for n = 42404002391 and 42404002400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404002427) by changing a digit.

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, 6473587 + ... + 6480133.

It is an arithmetic number, because the mean of its divisors is an integer number (1034747700).

Almost surely, 242404002420 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 42404002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49667889600).

42404002420 is an abundant number, since it is smaller than the sum of its proper divisors (56931776780).

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

42404002420 is a wasteful number, since it uses less digits than its factorization.

42404002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7457 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42404002420 its reverse (2420040424), we get a palindrome (44824042844).

The spelling of 42404002420 in words is "forty-two billion, four hundred four million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 859 1508 1718 1885 3436 3770 4295 6547 7540 8590 11167 13094 17180 22334 24911 26188 32735 44668 49822 55835 65470 85111 99644 111670 124555 130940 170222 189863 223340 249110 323843 340444 379726 425555 498220 647686 759452 851110 949315 1295372 1619215 1702220 1898630 2468219 3238430 3797260 4936438 5623873 6476860 9872876 11247746 12341095 22495492 24682190 28119365 49364380 56238730 73110349 112477460 146220698 163092317 292441396 326184634 365551745 652369268 731103490 815461585 1462206980 1630923170 2120200121 3261846340 4240400242 8480800484 10601000605 21202001210 42404002420