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4445102000 = 245313716223
BaseRepresentation
bin1000010001111001…
…01101111110110000
3102110210020120121102
410020330231332300
533100421231000
62013025543532
7215103513023
oct41074557660
912423216542
104445102000
111981164a19
12a407a4ba8
1355abc4b91
143024d91ba
151b03973d5
hex108f2dfb0

4445102000 has 80 divisors (see below), whose sum is σ = 10827378432. Its totient is φ = 1764953600.

The previous prime is 4445101993. The next prime is 4445102009. The reversal of 4445102000 is 2015444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4445102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265889 + ... + 282111.

Almost surely, 24445102000 is an apocalyptic number.

4445102000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4445102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413689216).

4445102000 is an abundant number, since it is smaller than the sum of its proper divisors (6382276432).

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

4445102000 is a wasteful number, since it uses less digits than its factorization.

4445102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16383 (or 16367 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4445102000 is about 66671.5981509368. The cubic root of 4445102000 is about 1644.2224624611. Note that the first 3 decimals are identical.

Adding to 4445102000 its reverse (2015444), we get a palindrome (4447117444).

The spelling of 4445102000 in words is "four billion, four hundred forty-five million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 685 1000 1096 1370 2000 2192 2740 3425 5480 6850 10960 13700 16223 17125 27400 32446 34250 54800 64892 68500 81115 129784 137000 162230 259568 274000 324460 405575 648920 811150 1297840 1622300 2027875 2222551 3244600 4055750 4445102 6489200 8111500 8890204 11112755 16223000 17780408 22225510 32446000 35560816 44451020 55563775 88902040 111127550 177804080 222255100 277818875 444510200 555637750 889020400 1111275500 2222551000 4445102000