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4125440430 = 233537211161
BaseRepresentation
bin1111010111100101…
…0011100110101110
3101122111202002101000
43311321103212232
531422103043210
61521210301130
7204142444056
oct36571234656
911574662330
104125440430
111827781501
129717277a6
13509901a17
142b1c88566
151922a2ac0
hexf5e539ae

4125440430 has 96 divisors (see below), whose sum is σ = 11307552480. Its totient is φ = 1070288640.

The previous prime is 4125440399. The next prime is 4125440477. The reversal of 4125440430 is 340445214.

It is a happy number.

4125440430 is a `hidden beast` number, since 4 + 1 + 254 + 404 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4125440394 and 4125440403.

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, 364050 + ... + 375210.

It is an arithmetic number, because the mean of its divisors is an integer number (117787005).

Almost surely, 24125440430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125440430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653776240).

4125440430 is an abundant number, since it is smaller than the sum of its proper divisors (7182112050).

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

4125440430 is a wasteful number, since it uses less digits than its factorization.

4125440430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11251 (or 11208 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4125440430 is about 64229.5915447078. The cubic root of 4125440430 is about 1603.8242415260.

Adding to 4125440430 its reverse (340445214), we get a palindrome (4465885644).

The spelling of 4125440430 in words is "four billion, one hundred twenty-five million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1369 1665 1998 2738 3330 4107 4995 6845 8214 9990 11161 12321 13690 20535 22322 24642 33483 36963 41070 55805 61605 66966 73926 100449 111610 123210 167415 184815 200898 301347 334830 369630 412957 502245 602694 825914 1004490 1238871 1506735 2064785 2477742 3013470 3716613 4129570 6194355 7433226 11149839 12388710 15279409 18583065 22299678 30558818 37166130 45838227 55749195 76397045 91676454 111498390 137514681 152794090 229191135 275029362 412544043 458382270 687573405 825088086 1375146810 2062720215 4125440430