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44123432144 = 2411260737547
BaseRepresentation
bin101001000101111101…
…100010010011010000
311012220001000121000112
4221011331202103100
51210331044312034
632134154140452
73121263661601
oct510575422320
9135801017015
1044123432144
1117792588700
128674a21728
13421243013c
1421c8091da8
1512339de7ce
hexa45f624d0

44123432144 has 60 divisors (see below), whose sum is σ = 94124725632. Its totient is φ = 20022530880.

The previous prime is 44123432137. The next prime is 44123432167.

44123432144 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44123432144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1156379 + ... + 1193925.

Almost surely, 244123432144 is an apocalyptic number.

44123432144 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 44123432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47062362816).

44123432144 is an abundant number, since it is smaller than the sum of its proper divisors (50001293488).

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

44123432144 is a wasteful number, since it uses less digits than its factorization.

44123432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38184 (or 38167 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The spelling of 44123432144 in words is "forty-four billion, one hundred twenty-three million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 607 968 1214 1936 2428 4856 6677 9712 13354 26708 37547 53416 73447 75094 106832 146894 150188 293788 300376 413017 587576 600752 826034 1175152 1652068 3304136 4543187 6608272 9086374 18172748 22791029 36345496 45582058 72690992 91164116 182328232 250701319 364656464 501402638 1002805276 2005610552 2757714509 4011221104 5515429018 11030858036 22061716072 44123432144