Search a number
-
+
2290428141912 = 2332196971615043
BaseRepresentation
bin100001010101001000001…
…001111110000101011000
322002221222212122002212200
4201111020021332011120
5300011244101020122
64512112544010200
7324322641656541
oct41251011760530
98087885562780
102290428141912
11803401a7a469
1230ba97900960
13137ca92bb411
147cc0067b4c8
153e8a51a05ac
hex2154827e158

2290428141912 has 48 divisors (see below), whose sum is σ = 6203561658840. Its totient is φ = 763436813568.

The previous prime is 2290428141853. The next prime is 2290428141913. The reversal of 2290428141912 is 2191418240922.

2290428141912 is a `hidden beast` number, since 2 + 29 + 0 + 428 + 14 + 191 + 2 = 666.

It is a super-2 number, since 2×22904281419122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290428141913) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 610663 + ... + 2225705.

Almost surely, 22290428141912 is an apocalyptic number.

It is an amenable number.

2290428141912 is an abundant number, since it is smaller than the sum of its proper divisors (3913133516928).

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

2290428141912 is a wasteful number, since it uses less digits than its factorization.

2290428141912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634752 (or 1634745 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2290428141912 in words is "two trillion, two hundred ninety billion, four hundred twenty-eight million, one hundred forty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 19697 39394 59091 78788 118182 157576 177273 236364 354546 472728 709092 1418184 1615043 3230086 4845129 6460172 9690258 12920344 14535387 19380516 29070774 38761032 58141548 116283096 31811501971 63623003942 95434505913 127246007884 190869011826 254492015768 286303517739 381738023652 572607035478 763476047304 1145214070956 2290428141912