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44521142015136 = 2533114960061161
BaseRepresentation
bin10100001111101111000101…
…10110101101010010100000
312211122011211221021001222210
422013313202312231102200
521313413244323441021
6234404421424202120
712243355255066353
oct1207674266552240
9184564757231883
1044521142015136
1113205346005016
124bb05b4469340
131bac43068a397
14adcb9887c29a
1552316c95ae76
hex287de2dad4a0

44521142015136 has 48 divisors (see below), whose sum is σ = 120637933210368. Its totient is φ = 14361658713600.

The previous prime is 44521142015041. The next prime is 44521142015153. The reversal of 44521142015136 is 63151024112544.

44521142015136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 44521142015094 and 44521142015103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7480027605 + ... + 7480033556.

It is an arithmetic number, because the mean of its divisors is an integer number (2513290275216).

Almost surely, 244521142015136 is an apocalyptic number.

It is an amenable number.

44521142015136 is an abundant number, since it is smaller than the sum of its proper divisors (76116791195232).

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

44521142015136 is a wasteful number, since it uses less digits than its factorization.

44521142015136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14960061205 (or 14960061197 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 44521142015136 in words is "forty-four trillion, five hundred twenty-one billion, one hundred forty-two million, fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 14960061161 29920122322 44880183483 59840244644 89760366966 119680489288 179520733932 239360978576 359041467864 463761895991 478721957152 718082935728 927523791982 1391285687973 1436165871456 1855047583964 2782571375946 3710095167928 5565142751892 7420190335856 11130285503784 14840380671712 22260571007568 44521142015136