Search a number
-
+
4144382970 = 2357131518089
BaseRepresentation
bin1111011100000110…
…0100001111111010
3101200211101110122120
43313001210033322
531441430223340
61523124302110
7204462450120
oct36701441772
911624343576
104144382970
11183743a2a2
12977b41936
13510804a20
142b45b9910
15193c954d0
hexf70643fa

4144382970 has 64 divisors (see below), whose sum is σ = 12241877760. Its totient is φ = 874418688.

The previous prime is 4144382959. The next prime is 4144382993. The reversal of 4144382970 is 792834414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756315 + ... + 761774.

It is an arithmetic number, because the mean of its divisors is an integer number (191279340).

Almost surely, 24144382970 is an apocalyptic number.

4144382970 is an abundant number, since it is smaller than the sum of its proper divisors (8097494790).

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

4144382970 is a wasteful number, since it uses less digits than its factorization.

4144382970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518119.

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4144382970 is about 64376.8822637443. The cubic root of 4144382970 is about 1606.2752222013.

The spelling of 4144382970 in words is "four billion, one hundred forty-four million, three hundred eighty-two thousand, nine hundred seventy".

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 1365 2730 1518089 3036178 4554267 7590445 9108534 10626623 15180890 19735157 21253246 22771335 31879869 39470314 45542670 53133115 59205471 63759738 98675785 106266230 118410942 138146099 159399345 197351570 276292198 296027355 318798690 414438297 592054710 690730495 828876594 1381460990 2072191485 4144382970