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1443109104 = 2432103149653
BaseRepresentation
bin101011000000100…
…0001100011110000
310201120110112112100
41112001001203300
510423413442404
6355110500400
750522140113
oct12601014360
93646415470
101443109104
11680663258
12343364700
1319cc93518
14d993457a
1586a5cd39
hex560418f0

1443109104 has 120 divisors (see below), whose sum is σ = 4111567200. Its totient is φ = 472444416.

The previous prime is 1443109099. The next prime is 1443109123. The reversal of 1443109104 is 4019013441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2209642 + ... + 2210294.

It is an arithmetic number, because the mean of its divisors is an integer number (34263060).

Almost surely, 21443109104 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 1443109104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055783600).

1443109104 is an abundant number, since it is smaller than the sum of its proper divisors (2668458096).

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

1443109104 is a wasteful number, since it uses less digits than its factorization.

1443109104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1443109104 is about 37988.2758755909. The cubic root of 1443109104 is about 1130.0553668018.

The spelling of 1443109104 in words is "one billion, four hundred forty-three million, one hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 149 206 298 309 412 447 596 618 653 824 894 927 1192 1236 1306 1341 1648 1788 1854 1959 2384 2472 2612 2682 3576 3708 3918 4944 5224 5364 5877 7152 7416 7836 10448 10728 11754 14832 15347 15672 21456 23508 30694 31344 46041 47016 61388 67259 92082 94032 97297 122776 134518 138123 184164 194594 201777 245552 269036 276246 291891 368328 389188 403554 538072 552492 583782 605331 736656 778376 807108 875673 1076144 1104984 1167564 1210662 1556752 1614216 1751346 2209968 2335128 2421324 3228432 3502692 4670256 4842648 7005384 9685296 10021591 14010768 20043182 30064773 40086364 60129546 80172728 90194319 120259092 160345456 180388638 240518184 360777276 481036368 721554552 1443109104