Search a number
-
+
4454434044 = 22321715114817
BaseRepresentation
bin1000010011000000…
…10100010011111100
3102111102210200202200
410021200110103330
533110313342134
62014001551500
7215246031114
oct41140242374
912442720680
104454434044
111986459255
12a43945590
1355cb116b8
14303848044
151b10dc499
hex1098144fc

4454434044 has 72 divisors (see below), whose sum is σ = 11932528608. Its totient is φ = 1396254720.

The previous prime is 4454434021. The next prime is 4454434067. The reversal of 4454434044 is 4404344544.

4454434044 is a `hidden beast` number, since 44 + 544 + 34 + 0 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (4454434021) and next prime (4454434067).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922324 + ... + 927140.

It is an arithmetic number, because the mean of its divisors is an integer number (165729564).

Almost surely, 24454434044 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 4454434044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966264304).

4454434044 is an abundant number, since it is smaller than the sum of its proper divisors (7478094564).

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

4454434044 is a wasteful number, since it uses less digits than its factorization.

4454434044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

The square root of 4454434044 is about 66741.5466107881. The cubic root of 4454434044 is about 1645.3722846830.

Adding to 4454434044 its reverse (4404344544), we get a palindrome (8858778588).

The spelling of 4454434044 in words is "four billion, four hundred fifty-four million, four hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1511 3022 4533 4817 6044 9066 9634 13599 14451 18132 19268 25687 27198 28902 43353 51374 54396 57804 77061 81889 86706 102748 154122 163778 173412 231183 245667 308244 327556 462366 491334 737001 924732 982668 1474002 2948004 7278487 14556974 21835461 29113948 43670922 65506383 87341844 123734279 131012766 247468558 262025532 371202837 494937116 742405674 1113608511 1484811348 2227217022 4454434044