Search a number
-
+
3425340510486 = 232231372440821
BaseRepresentation
bin110001110110000110001…
…101000101000100010110
3110010110101212110221211100
4301312012031011010112
5422110044132313421
611141325114450530
7502321062641316
oct61660615050426
913113355427740
103425340510486
111100751468724
12473a2b733a46
131bb0150b753b
14bbb0475d446
155e17ab71c26
hex31d86345116

3425340510486 has 72 divisors (see below), whose sum is σ = 7801205774544. Its totient is φ = 1084163287680.

The previous prime is 3425340510469. The next prime is 3425340510523. The reversal of 3425340510486 is 6840150435243.

3425340510486 is a `hidden beast` number, since 3 + 4 + 2 + 53 + 4 + 0 + 510 + 4 + 86 = 666.

It is a super-2 number, since 2×34253405104862 (a number of 26 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 35 ways as a sum of consecutive naturals, for example, 7549956 + ... + 7990776.

It is an arithmetic number, because the mean of its divisors is an integer number (108350080202).

Almost surely, 23425340510486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425340510486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900602887272).

3425340510486 is an abundant number, since it is smaller than the sum of its proper divisors (4375865264058).

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

3425340510486 is a wasteful number, since it uses less digits than its factorization.

3425340510486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441126 (or 440986 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3425340510486 in words is "three trillion, four hundred twenty-five billion, three hundred forty million, five hundred ten thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 18 23 46 69 137 138 207 274 411 414 822 1233 2466 3151 6302 9453 18769 18906 28359 37538 56307 56718 112614 168921 337842 431687 440821 863374 881642 1295061 1322463 2590122 2644926 3885183 3967389 7770366 7934778 10138883 20277766 30416649 60392477 60833298 91249947 120784954 181177431 182499894 362354862 543532293 1087064586 1389026971 2778053942 4167080913 8273769349 8334161826 12501242739 16547538698 24821308047 25002485478 49642616094 74463924141 148927848282 190296695027 380593390054 570890085081 1141780170162 1712670255243 3425340510486