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42404211304 = 237133117310861
BaseRepresentation
bin100111011111011111…
…001110101001101000
311001110020000010101121
4213133133032221220
51143320434230204
631251421225024
73030546564130
oct473737165150
9131406003347
1042404211304
1116a90087634
128275102174
133cca1b3cc0
1420a3a05ac0
151182ae0b54
hex9df7cea68

42404211304 has 128 divisors (see below), whose sum is σ = 101605754880. Its totient is φ = 16138828800.

The previous prime is 42404211301. The next prime is 42404211313. The reversal of 42404211304 is 40311240424.

It is not an unprimeable number, because it can be changed into a prime (42404211301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3898834 + ... + 3909694.

It is an arithmetic number, because the mean of its divisors is an integer number (793794960).

Almost surely, 242404211304 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 42404211304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50802877440).

42404211304 is an abundant number, since it is smaller than the sum of its proper divisors (59201543576).

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

42404211304 is a wasteful number, since it uses less digits than its factorization.

42404211304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11091 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42404211304 its reverse (40311240424), we get a palindrome (82715451728).

The spelling of 42404211304 in words is "forty-two billion, four hundred four million, two hundred eleven thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 173 182 217 248 346 364 403 434 692 728 806 868 1211 1384 1612 1736 2249 2422 2821 3224 4498 4844 5363 5642 8996 9688 10726 10861 11284 15743 17992 21452 21722 22568 31486 37541 42904 43444 62972 69719 75082 76027 86888 125944 139438 141193 150164 152054 278876 282386 300328 304108 336691 488033 557752 564772 608216 673382 976066 988351 1129544 1346764 1878953 1952132 1976702 2356837 2693528 3757906 3904264 3953404 4376983 4713674 7515812 7906808 8753966 9427348 13152671 15031624 17507932 18854696 24426389 26305342 30638881 35015864 48852778 52610684 58247543 61277762 97705556 105221368 116495086 122555524 170984723 195411112 232990172 245111048 341969446 407732801 465980344 683938892 757218059 815465602 1367877784 1514436118 1630931204 3028872236 3261862408 5300526413 6057744472 10601052826 21202105652 42404211304