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4444142430 = 23571310131607
BaseRepresentation
bin1000010001110010…
…00011101101011110
3102110201102211022210
410020321003231132
533100200024210
62012553221250
7215062405320
oct41071035536
912421384283
104444142430
111980669a92
12a40401826
1355a94a1a0
14302329610
151b0257e20
hex108e43b5e

4444142430 has 128 divisors (see below), whose sum is σ = 13148448768. Its totient is φ = 936156672.

The previous prime is 4444142419. The next prime is 4444142447. The reversal of 4444142430 is 342414444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2764687 + ... + 2766293.

It is an arithmetic number, because the mean of its divisors is an integer number (102722256).

Almost surely, 24444142430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444142430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574224384).

4444142430 is an abundant number, since it is smaller than the sum of its proper divisors (8704306338).

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

4444142430 is a wasteful number, since it uses less digits than its factorization.

4444142430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650.

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4444142430 is about 66664.4015198517. The cubic root of 4444142430 is about 1644.1041404599.

Adding to 4444142430 its reverse (342414444), we get a palindrome (4786556874).

The spelling of 4444142430 in words is "four billion, four hundred forty-four million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1013 1365 1607 2026 2730 3039 3214 4821 5065 6078 7091 8035 9642 10130 11249 13169 14182 15195 16070 20891 21273 22498 24105 26338 30390 33747 35455 39507 41782 42546 48210 56245 62673 65845 67494 70910 79014 92183 104455 106365 112490 125346 131690 146237 168735 184366 197535 208910 212730 276549 292474 313365 337470 395070 438711 460915 553098 626730 731185 877422 921830 1382745 1462370 1627891 2193555 2765490 3255782 4387110 4883673 8139455 9767346 11395237 16278910 21162583 22790474 24418365 34185711 42325166 48836730 56976185 63487749 68371422 105812915 113952370 126975498 148138081 170928555 211625830 296276162 317438745 341857110 444414243 634877490 740690405 888828486 1481380810 2222071215 4444142430