Search a number
-
+
425143051104 = 25347233404399
BaseRepresentation
bin1100010111111001000…
…00000010001101100000
31111122100221122201000210
412023330200002031200
523431143110113404
6523150311014120
742500304211002
oct6137440021540
91448327581023
10425143051104
11154336194882
126a48b66a340
13311246ac885
1416811546372
15b0d3e26689
hex62fc802360

425143051104 has 96 divisors (see below), whose sum is σ = 1144639641600. Its totient is φ = 138103534592.

The previous prime is 425143051097. The next prime is 425143051117. The reversal of 425143051104 is 401150341524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4251430511042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849097 + ... + 1253495.

It is an arithmetic number, because the mean of its divisors is an integer number (11923329600).

Almost surely, 2425143051104 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 425143051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572319820800).

425143051104 is an abundant number, since it is smaller than the sum of its proper divisors (719496590496).

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

425143051104 is a wasteful number, since it uses less digits than its factorization.

425143051104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404692 (or 404684 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 425143051104 its reverse (401150341524), we get a palindrome (826293392628).

The spelling of 425143051104 in words is "four hundred twenty-five billion, one hundred forty-three million, fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 233 282 376 466 564 699 752 932 1128 1398 1504 1864 2256 2796 3728 4512 5592 7456 10951 11184 21902 22368 32853 43804 65706 87608 131412 175216 262824 350432 404399 525648 808798 1051296 1213197 1617596 2426394 3235192 4852788 6470384 9705576 12940768 19006753 19411152 38013506 38822304 57020259 76027012 94224967 114040518 152054024 188449934 228081036 282674901 304108048 376899868 456162072 565349802 608216096 753799736 912324144 1130699604 1507599472 1824648288 2261399208 3015198944 4428573449 4522798416 8857146898 9045596832 13285720347 17714293796 26571440694 35428587592 53142881388 70857175184 106285762776 141714350368 212571525552 425143051104