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3140043444 = 22322331711723
BaseRepresentation
bin1011101100101001…
…0100001010110100
322002211112201211100
42323022110022310
522412322342234
61235330010100
7140545633416
oct27312241264
98084481740
103140043444
11137152212a
12737716930
133b0708595
1421b05c9b6
15135a08399
hexbb2942b4

3140043444 has 144 divisors (see below), whose sum is σ = 8675057664. Its totient is φ = 954676800.

The previous prime is 3140043437. The next prime is 3140043451. The reversal of 3140043444 is 4443400413.

3140043444 is a `hidden beast` number, since 314 + 0 + 0 + 4 + 344 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3140043437) and next prime (3140043451).

It is a super-2 number, since 2×31400434442 = 19719745660414762272, which 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 47 ways as a sum of consecutive naturals, for example, 1821567 + ... + 1823289.

It is an arithmetic number, because the mean of its divisors is an integer number (60243456).

Almost surely, 23140043444 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 3140043444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337528832).

3140043444 is an abundant number, since it is smaller than the sum of its proper divisors (5535014220).

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

3140043444 is a wasteful number, since it uses less digits than its factorization.

3140043444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3140043444 is about 56036.0905488597. The cubic root of 3140043444 is about 1464.3511038664.

Adding to 3140043444 its reverse (4443400413), we get a palindrome (7583443857).

The spelling of 3140043444 in words is "three billion, one hundred forty million, forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 71 92 93 124 138 142 186 207 213 276 279 284 372 414 426 558 639 713 828 852 1116 1278 1426 1633 1723 2139 2201 2556 2852 3266 3446 4278 4402 4899 5169 6417 6532 6603 6892 8556 8804 9798 10338 12834 13206 14697 15507 19596 19809 20676 25668 26412 29394 31014 39618 39629 50623 53413 58788 62028 79236 79258 101246 106826 118887 122333 151869 158516 160239 202492 213652 237774 244666 303738 320478 356661 366999 455607 475548 480717 489332 607476 640956 713322 733998 911214 961434 1100997 1228499 1426644 1467996 1822428 1922868 2201994 2456998 2813659 3685497 3792323 4403988 4913996 5627318 7370994 7584646 8440977 11056491 11254636 11376969 14741988 15169292 16881954 22112982 22753938 25322931 33763908 34130907 44225964 45507876 50645862 68261814 87223429 101291724 136523628 174446858 261670287 348893716 523340574 785010861 1046681148 1570021722 3140043444