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425314413524 = 2271113147172211
BaseRepresentation
bin1100011000001101011…
…01101110101111010100
31111122210220002211002002
412030012231232233110
523432020442213044
6523215311534432
742504454602620
oct6140655565724
91448726084062
10425314413524
11154413997a10
126a518b2a418
133115104b060
141682a1d2180
15b0e3ec574e
hex6306b6ebd4

425314413524 has 96 divisors (see below), whose sum is σ = 1000033370112. Its totient is φ = 152854128000.

The previous prime is 425314413523. The next prime is 425314413533.

425314413524 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425314413523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5853779 + ... + 5925989.

It is an arithmetic number, because the mean of its divisors is an integer number (10417014272).

Almost surely, 2425314413524 is an apocalyptic number.

425314413524 is a gapful number since it is divisible by the number (44) 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 425314413524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500016685056).

425314413524 is an abundant number, since it is smaller than the sum of its proper divisors (574718956588).

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

425314413524 is a wasteful number, since it uses less digits than its factorization.

425314413524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73717 (or 73715 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 425314 and 413524, that added together give a palindrome (838838).

The spelling of 425314413524 in words is "four hundred twenty-five billion, three hundred fourteen million, four hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1471 2002 2942 4004 5884 10297 16181 19123 20594 32362 38246 41188 64724 72211 76492 113267 133861 144422 210353 226534 267722 288844 420706 453068 505477 535444 794321 841412 938743 1010954 1472471 1588642 1877486 2021908 2944942 3177284 3754972 5560247 5889884 6571201 10326173 11120494 13142402 20652346 22240988 26284804 41304692 72283211 106222381 144566422 212444762 289132844 424889524 743556667 1168446191 1380890953 1487113334 2336892382 2761781906 2974226668 4673784764 5523563812 8179123337 9666236671 15189800483 16358246674 19332473342 30379600966 32716493348 38664946684 60759201932 106328603381 212657206762 425314413524