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4540155444 = 22321147832939
BaseRepresentation
bin1000011101001110…
…10100011000110100
3102201102002210102100
410032213110120310
533244234433234
62030303142100
7220336453536
oct41647243064
912642083370
104540155444
111a1a887a90
12a685a4930
135747c6016
14310d9d856
151b88c1399
hex10e9d4634

4540155444 has 144 divisors (see below), whose sum is σ = 12944655360. Its totient is φ = 1329856320.

The previous prime is 4540155443. The next prime is 4540155479. The reversal of 4540155444 is 4445510454.

It is a super-2 number, since 2×45401554442 = 41226022911365674272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4540155399 and 4540155408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4540155443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1543327 + ... + 1546265.

It is an arithmetic number, because the mean of its divisors is an integer number (89893440).

Almost surely, 24540155444 is an apocalyptic number.

4540155444 is a gapful number since it is divisible by the number (44) 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 4540155444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472327680).

4540155444 is an abundant number, since it is smaller than the sum of its proper divisors (8404499916).

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

4540155444 is a wasteful number, since it uses less digits than its factorization.

4540155444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The square root of 4540155444 is about 67380.6755976816. The cubic root of 4540155444 is about 1655.8598433856.

Adding to 4540155444 its reverse (4445510454), we get a palindrome (8985665898).

The spelling of 4540155444 in words is "four billion, five hundred forty million, one hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 83 94 99 132 141 166 188 198 249 282 332 396 423 498 517 564 747 846 913 996 1034 1494 1551 1692 1826 2068 2739 2939 2988 3102 3652 3901 4653 5478 5878 6204 7802 8217 8817 9306 10956 11703 11756 15604 16434 17634 18612 23406 26451 32329 32868 35109 35268 42911 46812 52902 64658 70218 85822 96987 105804 128733 129316 138133 140436 171644 193974 243937 257466 276266 290961 386199 387948 414399 487874 514932 552532 581922 731811 772398 828798 975748 1163844 1243197 1463622 1519463 1544796 1657596 2195433 2486394 2683307 2927244 3038926 4390866 4558389 4972788 5366614 6077852 8049921 8781732 9116778 10733228 11465039 13675167 16099842 18233556 22930078 24149763 27350334 32199684 34395117 45860156 48299526 54700668 68790234 96599052 103185351 126115429 137580468 206370702 252230858 378346287 412741404 504461716 756692574 1135038861 1513385148 2270077722 4540155444