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2421013023424 = 26314753489871
BaseRepresentation
bin100011001110101111100…
…111110000101011000000
322120110001120010102002201
4203032233213300223000
5304131213313222144
65052110435122544
7336624650105032
oct43165747605300
98513046112081
102421013023424
11853822810746
12331260443454
131473ba3c7288
148526b6b5c52
1542e995471d4
hex233af9f0ac0

2421013023424 has 112 divisors (see below), whose sum is σ = 5160256782336. Its totient is φ = 1124898278400.

The previous prime is 2421013023353. The next prime is 2421013023427. The reversal of 2421013023424 is 4243203101242.

2421013023424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24210130234242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2421013023392 and 2421013023401.

It is not an unprimeable number, because it can be changed into a prime (2421013023427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4697209 + ... + 5187079.

Almost surely, 22421013023424 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 2421013023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580128391168).

2421013023424 is an abundant number, since it is smaller than the sum of its proper divisors (2739243758912).

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

2421013023424 is a wasteful number, since it uses less digits than its factorization.

2421013023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490014 (or 490004 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2421013023424 its reverse (4243203101242), we get a palindrome (6664216124666).

The spelling of 2421013023424 in words is "two trillion, four hundred twenty-one billion, thirteen million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 47 53 62 64 94 106 124 188 212 248 376 424 496 752 848 992 1457 1504 1643 1696 1984 2491 2914 3008 3286 3392 4982 5828 6572 9964 11656 13144 19928 23312 26288 39856 46624 52576 77221 79712 93248 105152 154442 159424 308884 489871 617768 979742 1235536 1959484 2471072 3918968 4942144 7837936 15186001 15675872 23023937 25963163 30372002 31351744 46047874 51926326 60744004 92095748 103852652 121488008 184191496 207705304 242976016 368382992 415410608 485952032 713742047 736765984 804858053 830821216 971904064 1220268661 1427484094 1473531968 1609716106 1661642432 2440537322 2854968188 3219432212 4881074644 5709936376 6438864424 9762149288 11419872752 12877728848 19524298576 22839745504 25755457696 37828328491 39048597152 45679491008 51510915392 75656656982 78097194304 151313313964 302626627928 605253255856 1210506511712 2421013023424