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3181420000 = 25541114461
BaseRepresentation
bin1011110110100000…
…1001110111100000
322012201101212210101
42331220021313200
523003420420000
61243404512144
7141560423653
oct27550116740
98181355711
103181420000
111392912a30
1274954b654
133b9164855
1422274d89a
1513947ce6a
hexbda09de0

3181420000 has 120 divisors (see below), whose sum is σ = 8538885432. Its totient is φ = 1156800000.

The previous prime is 3181419991. The next prime is 3181420009. The reversal of 3181420000 is 241813.

3181420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3181419991) and next prime (3181420009).

It is a self number, because there is not a number n which added to its sum of digits gives 3181420000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3181420009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212770 + ... + 227230.

Almost surely, 23181420000 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 3181420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269442716).

3181420000 is an abundant number, since it is smaller than the sum of its proper divisors (5357465432).

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

3181420000 is a wasteful number, since it uses less digits than its factorization.

3181420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14502 (or 14479 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 3181420000 is about 56404.0778667642. The cubic root of 3181420000 is about 1470.7550072826.

Adding to 3181420000 its reverse (241813), we get a palindrome (3181661813).

The spelling of 3181420000 in words is "three billion, one hundred eighty-one million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 14461 20000 22000 27500 28922 44000 55000 57844 72305 110000 115688 144610 159071 220000 231376 289220 318142 361525 462752 578440 636284 723050 795355 1156880 1272568 1446100 1590710 1807625 2313760 2545136 2892200 3181420 3615250 3976775 5090272 5784400 6362840 7230500 7953550 9038125 11568800 12725680 14461000 15907100 18076250 19883875 25451360 28922000 31814200 36152500 39767750 57844000 63628400 72305000 79535500 99419375 127256800 144610000 159071000 198838750 289220000 318142000 397677500 636284000 795355000 1590710000 3181420000