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44322102144 = 273238474047
BaseRepresentation
bin101001010001110011…
…011001101110000000
311020101212212002000200
4221101303121232000
51211232424232034
632210012245200
73126225436455
oct512163315600
9136355762020
1044322102144
1117884742391
12870b470800
13424463cc58
14220660982c
151246184a99
hexa51cd9b80

44322102144 has 48 divisors (see below), whose sum is σ = 127541469120. Its totient is φ = 14774033664.

The previous prime is 44322102107. The next prime is 44322102157. The reversal of 44322102144 is 44120122344.

44322102144 is a `hidden beast` number, since 4 + 432 + 2 + 10 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19235872 + ... + 19238175.

It is an arithmetic number, because the mean of its divisors is an integer number (2657113940).

Almost surely, 244322102144 is an apocalyptic number.

It is an amenable number.

44322102144 is an abundant number, since it is smaller than the sum of its proper divisors (83219366976).

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

44322102144 is a wasteful number, since it uses less digits than its factorization.

44322102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38474067 (or 38474052 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44322102144 its reverse (44120122344), we get a palindrome (88442224488).

The spelling of 44322102144 in words is "forty-four billion, three hundred twenty-two million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 38474047 76948094 115422141 153896188 230844282 307792376 346266423 461688564 615584752 692532846 923377128 1231169504 1385065692 1846754256 2462339008 2770131384 3693508512 4924678016 5540262768 7387017024 11080525536 14774034048 22161051072 44322102144