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2420441140012 = 2271931729720113
BaseRepresentation
bin100011001110001101100…
…010001100101100101100
322120101120201000201112121
4203032031202030230230
5304124030412440022
65051534005442324
7336604534141330
oct43161542145454
98511521021477
102420441140012
11853559a17225
12331120a103a4
13147328a9431c
148521576b7c0
1542e642302c7
hex2338d88cb2c

2420441140012 has 96 divisors (see below), whose sum is σ = 5261024276480. Its totient is φ = 950856744960.

The previous prime is 2420441140009. The next prime is 2420441140057. The reversal of 2420441140012 is 2100411440242.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120332068 + ... + 120352180.

Almost surely, 22420441140012 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 2420441140012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630512138240).

2420441140012 is an abundant number, since it is smaller than the sum of its proper divisors (2840583136468).

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

2420441140012 is a wasteful number, since it uses less digits than its factorization.

2420441140012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27471 (or 27469 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 2420441140012 its reverse (2100411440242), we get a palindrome (4520852580254).

The spelling of 2420441140012 in words is "two trillion, four hundred twenty billion, four hundred forty-one million, one hundred forty thousand, twelve".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 7297 8246 14594 16492 20113 29188 40226 51079 80452 102158 138643 140791 204316 226207 277286 281582 382147 452414 554572 563164 623503 764294 904828 970501 1247006 1528588 1583449 1941002 2494012 2675029 3166898 3882004 4297933 4364521 5350058 6333796 8595866 8729042 10700116 11846557 17191732 17458084 23693114 30085531 47386228 60171062 82925899 120342124 146764561 165851798 293529122 331703596 587058244 1027351927 2054703854 2788526659 4109407708 4549701391 5577053318 9099402782 11154106636 18198805564 19519686613 31847909737 39039373226 63695819474 78078746452 86444326429 127391638948 172888652858 345777305716 605110285003 1210220570006 2420441140012