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3140145504 = 253219230203
BaseRepresentation
bin1011101100101010…
…1101000101100000
322002211201220211100
42323022231011200
522412334124004
61235332114400
7140546540106
oct27312550540
98084656740
103140145504
111371591881
12737765a00
133b0742b82
1421b087c76
15135a28739
hexbb2ad160

3140145504 has 108 divisors (see below), whose sum is σ = 9424825956. Its totient is φ = 991592064.

The previous prime is 3140145479. The next prime is 3140145517. The reversal of 3140145504 is 4055410413.

It is a happy number.

3140145504 is a `hidden beast` number, since 3 + 14 + 0 + 145 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88867 + ... + 119069.

It is an arithmetic number, because the mean of its divisors is an integer number (87266907).

Almost surely, 23140145504 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 3140145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712412978).

3140145504 is an abundant number, since it is smaller than the sum of its proper divisors (6284680452).

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

3140145504 is a wasteful number, since it uses less digits than its factorization.

3140145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30257 (or 30227 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3140145504 is about 56037.0012045613. The cubic root of 3140145504 is about 1464.3669688332.

Adding to 3140145504 its reverse (4055410413), we get a palindrome (7195555917).

The spelling of 3140145504 in words is "three billion, one hundred forty million, one hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 1083 1368 1444 1824 2166 2736 2888 3249 4332 5472 5776 6498 8664 11552 12996 17328 25992 30203 34656 51984 60406 90609 103968 120812 181218 241624 271827 362436 483248 543654 573857 724872 966496 1087308 1147714 1449744 1721571 2174616 2295428 2899488 3443142 4349232 4590856 5164713 6886284 8698464 9181712 10329426 10903283 13772568 18363424 20658852 21806566 27545136 32709849 41317704 43613132 55090272 65419698 82635408 87226264 98129547 130839396 165270816 174452528 196259094 261678792 348905056 392518188 523357584 785036376 1046715168 1570072752 3140145504