Search a number
-
+
2420484234924 = 2237671409305237
BaseRepresentation
bin100011001110010000000…
…110100101111010101100
322120101200201010011122110
4203032100012211322230
5304124122431004144
65051542145244020
7336605566346430
oct43162006457254
98511621104573
102420484234924
11853581281058
12331133333610
131473349a2782
148521b3889c0
1542e67de40b9
hex233901a5eac

2420484234924 has 96 divisors (see below), whose sum is σ = 6555633154560. Its totient is φ = 680759304192.

The previous prime is 2420484234869. The next prime is 2420484234929. The reversal of 2420484234924 is 4294324840242.

It is not an unprimeable number, because it can be changed into a prime (2420484234929) by changing a digit.

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, 7777234 + ... + 8082470.

It is an arithmetic number, because the mean of its divisors is an integer number (68287845360).

Almost surely, 22420484234924 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 2420484234924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277816577280).

2420484234924 is an abundant number, since it is smaller than the sum of its proper divisors (4135148919636).

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

2420484234924 is a wasteful number, since it uses less digits than its factorization.

2420484234924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306727 (or 306725 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

The spelling of 2420484234924 in words is "two trillion, four hundred twenty billion, four hundred eighty-four million, two hundred thirty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1409 1876 2814 2818 4227 5628 5636 8454 9863 16908 19726 29589 39452 59178 94403 118356 188806 283209 305237 377612 566418 610474 660821 915711 1132836 1220948 1321642 1831422 1982463 2136659 2643284 3662844 3964926 4273318 6409977 7929852 8546636 12819954 20450879 25639908 40901758 61352637 81803516 122705274 143156153 245410548 286312306 429468459 430078933 572624612 858936918 860157866 1290236799 1717873836 1720315732 2580473598 3010552531 5160947196 6021105062 9031657593 12042210124 18063315186 28815288511 36126630372 57630577022 86445865533 115261154044 172891731066 201707019577 345783462132 403414039154 605121058731 806828078308 1210242117462 2420484234924