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4234210412424 = 2332336721119901
BaseRepresentation
bin111101100111011010100…
…110111000011110001000
3112222210020101220101211120
4331213122212320132020
51023333130331144144
613001100331555240
7614624452444626
oct75473246703610
915883211811746
104234210412424
11139279a434a93
125847505bbb20
13249390892ba5
14108d18b12516
157521c9e2e19
hex3d9da9b8788

4234210412424 has 128 divisors (see below), whose sum is σ = 11082229678080. Its totient is φ = 1345585824000.

The previous prime is 4234210412423. The next prime is 4234210412567. The reversal of 4234210412424 is 4242140124324.

It is not an unprimeable number, because it can be changed into a prime (4234210412423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427649874 + ... + 427659774.

It is an arithmetic number, because the mean of its divisors is an integer number (86579919360).

Almost surely, 24234210412424 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 4234210412424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541114839040).

4234210412424 is an abundant number, since it is smaller than the sum of its proper divisors (6848019265656).

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

4234210412424 is a wasteful number, since it uses less digits than its factorization.

4234210412424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12411 (or 12407 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4234210412424 its reverse (4242140124324), we get a palindrome (8476350536748).

The spelling of 4234210412424 in words is "four trillion, two hundred thirty-four billion, two hundred ten million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 367 552 734 1101 1468 2111 2202 2936 4222 4404 6333 8441 8444 8808 9901 12666 16882 16888 19802 25323 25332 29703 33764 39604 48553 50646 50664 59406 67528 79208 97106 101292 118812 145659 194212 202584 227723 237624 291318 388424 455446 582636 683169 774737 910892 1165272 1366338 1549474 1821784 2324211 2732676 3098948 3633667 4648422 5465352 6197896 7267334 9296844 10901001 14534668 17818951 18593688 20901011 21802002 29069336 35637902 41802022 43604004 53456853 62703033 71275804 83574341 83604044 87208008 106913706 125406066 142551608 167148682 167208088 213827412 250723023 250812132 334297364 427654824 480723253 501446046 501624264 668594728 961446506 1002892092 1442169759 1922893012 2005784184 2884339518 3845786024 5768679036 7670671037 11537358072 15341342074 23012013111 30682684148 46024026222 61365368296 92048052444 176425433851 184096104888 352850867702 529276301553 705701735404 1058552603106 1411403470808 2117105206212 4234210412424