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2434042420000 = 25541071137403
BaseRepresentation
bin100011011010111000001…
…110111101101100100000
322121200200121020100002021
4203122320032331230200
5304334404324420000
65102103400231224
7340565561126002
oct43327016755440
98550617210067
102434042420000
118592a9544194
12333897a6b514
131486b58bc3a9
1485b45cd4372
15434ad35411a
hex236b83bdb20

2434042420000 has 120 divisors (see below), whose sum is σ = 6044078413296. Its totient is φ = 964516896000.

The previous prime is 2434042419997. The next prime is 2434042420021. The reversal of 2434042420000 is 242404342.

2434042420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1571299 + ... + 2708701.

Almost surely, 22434042420000 is an apocalyptic number.

2434042420000 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 2434042420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022039206648).

2434042420000 is an abundant number, since it is smaller than the sum of its proper divisors (3610035993296).

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

2434042420000 is a wasteful number, since it uses less digits than its factorization.

2434042420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137540 (or 1137517 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 2434042420000 its reverse (242404342), we get a palindrome (2434284824342).

The spelling of 2434042420000 in words is "two trillion, four hundred thirty-four billion, forty-two million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 125 160 200 214 250 400 428 500 535 625 800 856 1000 1070 1250 1712 2000 2140 2500 2675 3424 4000 4280 5000 5350 8560 10000 10700 13375 17120 20000 21400 26750 42800 53500 66875 85600 107000 133750 214000 267500 428000 535000 1070000 1137403 2140000 2274806 4549612 5687015 9099224 11374030 18198448 22748060 28435075 36396896 45496120 56870150 90992240 113740300 121702121 142175375 181984480 227480600 243404242 284350750 454961200 486808484 568701500 608510605 710876875 909922400 973616968 1137403000 1217021210 1421753750 1947233936 2274806000 2434042420 2843507500 3042553025 3894467872 4549612000 4868084840 5687015000 6085106050 9736169680 11374030000 12170212100 15212765125 19472339360 22748060000 24340424200 30425530250 48680848400 60851060500 76063825625 97361696800 121702121000 152127651250 243404242000 304255302500 486808484000 608510605000 1217021210000 2434042420000