Search a number
-
+
42120220410 = 2325571819619
BaseRepresentation
bin100111001110100011…
…111000111011111010
311000201102121220010100
4213032203320323322
51142230234023120
631203314300230
73020530652262
oct471643707372
9130642556110
1042120220410
1116954848014
1281b5b87676
133c833ccc58
142077ddc7a2
151167be5490
hex9ce8f8efa

42120220410 has 48 divisors (see below), whose sum is σ = 109704497760. Its totient is φ = 11212374240.

The previous prime is 42120220403. The next prime is 42120220447. The reversal of 42120220410 is 1402202124.

42120220410 is a `hidden beast` number, since 421 + 20 + 220 + 4 + 1 + 0 = 666.

It is a super-2 number, since 2×421202204102 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358420 + ... + 461199.

It is an arithmetic number, because the mean of its divisors is an integer number (2285510370).

Almost surely, 242120220410 is an apocalyptic number.

42120220410 is an abundant number, since it is smaller than the sum of its proper divisors (67584277350).

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

42120220410 is a wasteful number, since it uses less digits than its factorization.

42120220410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820203 (or 820200 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42120220410 its reverse (1402202124), we get a palindrome (43522422534).

The spelling of 42120220410 in words is "forty-two billion, one hundred twenty million, two hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 571 1142 1713 2855 3426 5139 5710 8565 10278 17130 25695 51390 819619 1639238 2458857 4098095 4917714 7376571 8196190 12294285 14753142 24588570 36882855 73765710 468002449 936004898 1404007347 2340012245 2808014694 4212022041 4680024490 7020036735 8424044082 14040073470 21060110205 42120220410