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42004040220 = 22325298046751
BaseRepresentation
bin100111000111101000…
…101100101000011100
311000102100000022212100
4213013220230220130
51142011013241340
631144004205100
73014620310442
oct470750545034
9130370008770
1042004040220
11168a520512a
128183099790
133c6531288c
1420667d8b92
15115c8e6830
hex9c7a2ca1c

42004040220 has 72 divisors (see below), whose sum is σ = 131805797760. Its totient is φ = 10814832000.

The previous prime is 42004040189. The next prime is 42004040251. The reversal of 42004040220 is 2204040024.

42004040220 is a `hidden beast` number, since 4 + 200 + 40 + 402 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (42004040189) and next prime (42004040251).

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 = 42004040193 and 42004040202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4018156 + ... + 4028595.

It is an arithmetic number, because the mean of its divisors is an integer number (1830636080).

Almost surely, 242004040220 is an apocalyptic number.

It is an amenable number.

42004040220 is an abundant number, since it is smaller than the sum of its proper divisors (89801757540).

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

42004040220 is a wasteful number, since it uses less digits than its factorization.

42004040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046795 (or 8046790 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42004040220 its reverse (2204040024), we get a palindrome (44208080244).

The spelling of 42004040220 in words is "forty-two billion, four million, forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 8046751 16093502 24140253 32187004 40233755 48280506 72420759 80467510 96561012 120701265 144841518 160935020 233355779 241402530 289683036 362103795 466711558 482805060 700067337 724207590 933423116 1166778895 1400134674 1448415180 2100202011 2333557790 2800269348 3500336685 4200404022 4667115580 7000673370 8400808044 10501010055 14001346740 21002020110 42004040220