Search a number
-
+
2034421142430 = 235192643292147
BaseRepresentation
bin11101100110101100111…
…100110001001110011110
321012111012022022001121010
4131212230330301032132
5231312443303024210
64154333345320050
7266660565250005
oct35465474611636
97174168261533
102034421142430
1171487a774636
1228a34b636026
13119aca882881
1470676157c3c
1537dbed19920
hex1d9acf3139e

2034421142430 has 96 divisors (see below), whose sum is σ = 5161147334784. Its totient is φ = 513157954752.

The previous prime is 2034421142417. The next prime is 2034421142483. The reversal of 2034421142430 is 342411244302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6817617 + ... + 7109763.

It is an arithmetic number, because the mean of its divisors is an integer number (53761951404).

Almost surely, 22034421142430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034421142430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580573667392).

2034421142430 is an abundant number, since it is smaller than the sum of its proper divisors (3126726192354).

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

2034421142430 is a wasteful number, since it uses less digits than its factorization.

2034421142430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292838 (or 292819 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2034421142430 its reverse (342411244302), we get a palindrome (2376832386732).

The spelling of 2034421142430 in words is "two trillion, thirty-four billion, four hundred twenty-one million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 643 722 1083 1286 1805 1929 2166 3215 3610 3858 5415 6430 9645 10830 12217 19290 24434 36651 61085 73302 122170 183255 232123 292147 366510 464246 584294 696369 876441 1160615 1392738 1460735 1752882 2321230 2921470 3481845 4382205 5550793 6963690 8764410 11101586 16652379 27753965 33304758 55507930 83261895 105465067 166523790 187850521 210930134 316395201 375701042 527325335 563551563 632790402 939252605 1054650670 1127103126 1581976005 1878505210 2817757815 3163952010 3569159899 5635515630 7138319798 10707479697 17845799495 21414959394 35691598990 53537398485 67814038081 107074796970 135628076162 203442114243 339070190405 406884228486 678140380810 1017210571215 2034421142430