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44003612144 = 24232914927673
BaseRepresentation
bin101000111110110100…
…011101010111110000
311012120200120002212202
4220332310131113300
51210104411042034
632114234042332
73115310350262
oct507664352760
9135520502782
1044003612144
111773098a108
1286408793a8
1341c366a12b
1421b61c1b32
15122822247e
hexa3ed1d5f0

44003612144 has 80 divisors (see below), whose sum is σ = 92652552000. Its totient is φ = 20182407168.

The previous prime is 44003612117. The next prime is 44003612197. The reversal of 44003612144 is 44121630044.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576292 + ... + 1603964.

It is an arithmetic number, because the mean of its divisors is an integer number (1158156900).

Almost surely, 244003612144 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 44003612144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46326276000).

44003612144 is an abundant number, since it is smaller than the sum of its proper divisors (48648939856).

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

44003612144 is a wasteful number, since it uses less digits than its factorization.

44003612144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27882 (or 27876 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 44003612144 in words is "forty-four billion, three million, six hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 149 184 232 298 368 464 596 667 1192 1334 2384 2668 3427 4321 5336 6854 8642 10672 13708 17284 27416 27673 34568 54832 55346 69136 99383 110692 198766 221384 397532 442768 636479 795064 802517 1272958 1590128 1605034 2545916 3210068 4123277 5091832 6420136 8246554 10183664 12840272 16493108 18457891 32986216 36915782 65972432 73831564 94835371 119575033 147663128 189670742 239150066 295326256 379341484 478300132 758682968 956600264 1517365936 1913200528 2750225759 5500451518 11000903036 22001806072 44003612144