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44313442152 = 233710112132153
BaseRepresentation
bin101001010001010010…
…010111011101101000
311020101021120002202020
4221101102113131220
51211223220122102
632205102504440
73126062020620
oct512122273550
9136337502666
1044313442152
111787a867a71
128708595120
1342428ca2b5
1422053d3880
151245523bbc
hexa51497768

44313442152 has 128 divisors (see below), whose sum is σ = 128028245760. Its totient is φ = 12519475200.

The previous prime is 44313442127. The next prime is 44313442157. The reversal of 44313442152 is 25124431344.

It is a super-2 number, since 2×443134421522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44313442157) 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 31 ways as a sum of consecutive naturals, for example, 20581108 + ... + 20583260.

It is an arithmetic number, because the mean of its divisors is an integer number (1000220670).

Almost surely, 244313442152 is an apocalyptic number.

44313442152 is a gapful number since it is divisible by the number (42) 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 44313442152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64014122880).

44313442152 is an abundant number, since it is smaller than the sum of its proper divisors (83714803608).

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

44313442152 is a wasteful number, since it uses less digits than its factorization.

44313442152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3479 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

Adding to 44313442152 its reverse (25124431344), we get a palindrome (69437873496).

The spelling of 44313442152 in words is "forty-four billion, three hundred thirteen million, four hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1213 1414 2121 2153 2424 2426 2828 3639 4242 4306 4852 5656 6459 7278 8484 8491 8612 9704 12918 14556 15071 16968 16982 17224 25473 25836 29112 30142 33964 45213 50946 51672 60284 67928 90426 101892 120568 122513 180852 203784 217453 245026 361704 367539 434906 490052 652359 735078 857591 869812 980104 1304718 1470156 1522171 1715182 1739624 2572773 2609436 2611589 2940312 3044342 3430364 4566513 5145546 5218872 5223178 6088684 6860728 7834767 9133026 10291092 10446356 12177368 15669534 18266052 18281123 20582184 20892712 31339068 36532104 36562246 54843369 62678136 73124492 109686738 146248984 219373476 263770489 438746952 527540978 791311467 1055081956 1582622934 1846393423 2110163912 3165245868 3692786846 5539180269 6330491736 7385573692 11078360538 14771147384 22156721076 44313442152