Search a number
-
+
2402302040000 = 265471845881
BaseRepresentation
bin100010111101010100010…
…111000001011111000000
322111122202120002222011122
4202331110113001133000
5303324403310240000
65035334033531412
7335363166264662
oct42752427013700
98448676088148
102402302040000
118468a0967985
123296ba113b68
131456c7ab0255
14843b4692532
1542751a4c085
hex22f545c17c0

2402302040000 has 140 divisors (see below), whose sum is σ = 6040835851248. Its totient is φ = 947385600000.

The previous prime is 2402302039999. The next prime is 2402302040023. The reversal of 2402302040000 is 402032042.

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 2417060 + ... + 3262940.

Almost surely, 22402302040000 is an apocalyptic number.

2402302040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402302040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020417925624).

2402302040000 is an abundant number, since it is smaller than the sum of its proper divisors (3638533811248).

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

2402302040000 is an frugal number, since it uses more digits than its factorization.

2402302040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845984 (or 845959 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 2402302040000 its reverse (402032042), we get a palindrome (2402704072042).

The spelling of 2402302040000 in words is "two trillion, four hundred two billion, three hundred two million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 625 710 800 1000 1136 1250 1420 1600 1775 2000 2272 2500 2840 3550 4000 4544 5000 5680 7100 8000 8875 10000 11360 14200 17750 20000 22720 28400 35500 40000 44375 56800 71000 88750 113600 142000 177500 284000 355000 568000 710000 845881 1420000 1691762 2840000 3383524 4229405 6767048 8458810 13534096 16917620 21147025 27068192 33835240 42294050 54136384 60057551 67670480 84588100 105735125 120115102 135340960 169176200 211470250 240230204 270681920 300287755 338352400 422940500 480460408 528675625 600575510 676704800 845881000 960920816 1057351250 1201151020 1353409600 1501438775 1691762000 1921841632 2114702500 2402302040 3002877550 3383524000 3843683264 4229405000 4804604080 6005755100 6767048000 7507193875 8458810000 9609208160 12011510200 15014387750 16917620000 19218416320 24023020400 30028775500 33835240000 37535969375 48046040800 60057551000 75071938750 96092081600 120115102000 150143877500 240230204000 300287755000 480460408000 600575510000 1201151020000 2402302040000