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4445141436 = 22331714916249
BaseRepresentation
bin1000010001111001…
…10111100110111100
3102110210022120201000
410020330313212330
533100424011221
62013030450300
7215104036011
oct41074674674
912423276630
104445141436
11198119160a
12a40803990
1355ac09b08
14302509708
151b03a3e26
hex108f379bc

4445141436 has 96 divisors (see below), whose sum is σ = 12285000000. Its totient is φ = 1385109504.

The previous prime is 4445141417. The next prime is 4445141461. The reversal of 4445141436 is 6341415444.

4445141436 is a `hidden beast` number, since 44 + 45 + 141 + 436 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4445141436.

It is a congruent number.

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, 265440 + ... + 281688.

It is an arithmetic number, because the mean of its divisors is an integer number (127968750).

Almost surely, 24445141436 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 4445141436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142500000).

4445141436 is an abundant number, since it is smaller than the sum of its proper divisors (7839858564).

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

4445141436 is a wasteful number, since it uses less digits than its factorization.

4445141436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16428 (or 16420 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4445141436 is about 66671.8938984037. The cubic root of 4445141436 is about 1644.2273248441.

The spelling of 4445141436 in words is "four billion, four hundred forty-five million, one hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 149 153 204 298 306 447 459 596 612 894 918 1341 1788 1836 2533 2682 4023 5066 5364 7599 8046 10132 15198 16092 16249 22797 30396 32498 45594 48747 64996 68391 91188 97494 136782 146241 194988 273564 276233 292482 438723 552466 584964 828699 877446 1104932 1657398 1754892 2421101 2486097 3314796 4842202 4972194 7263303 7458291 9684404 9944388 14526606 14916582 21789909 29053212 29833164 41158717 43579818 65369727 82317434 87159636 123476151 130739454 164634868 246952302 261478908 370428453 493904604 740856906 1111285359 1481713812 2222570718 4445141436