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144468578465730 = 23252012117977727
BaseRepresentation
bin100000110110010010110110…
…010011001111011111000010
3200221112001122121222121222100
4200312102312103033133002
5122413433122041400410
61231131540531451230
742300340023401121
oct4066226623173702
9627461577877870
10144468578465730
114203986428a572
1214252b8a756b16
13627c43691376c
1427964606c9ab8
1511a7e5c7a58c0
hex8364b64cf7c2

144468578465730 has 48 divisors (see below), whose sum is σ = 375620217882624. Its totient is φ = 38524757963040.

The previous prime is 144468578465671. The next prime is 144468578465741. The reversal of 144468578465730 is 37564875864441.

144468578465730 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 6 + 8 + 5 + 7 + 8 + 46 + 573 + 0 = 666.

144468578465730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14120127 + ... + 22097853.

It is an arithmetic number, because the mean of its divisors is an integer number (7825421205888).

Almost surely, 2144468578465730 is an apocalyptic number.

144468578465730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144468578465730 is an abundant number, since it is smaller than the sum of its proper divisors (231151639416894).

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

144468578465730 is a wasteful number, since it uses less digits than its factorization.

144468578465730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8178951 (or 8178948 counting only the distinct ones).

The product of its (nonzero) digits is 2167603200, while the sum is 72.

The spelling of 144468578465730 in words is "one hundred forty-four trillion, four hundred sixty-eight billion, five hundred seventy-eight million, four hundred sixty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 201211 402422 603633 1006055 1207266 1810899 2012110 3018165 3621798 6036330 7977727 9054495 15955454 18108990 23933181 39888635 47866362 71799543 79777270 119665905 143599086 239331810 358997715 717995430 1605206427397 3210412854794 4815619282191 8026032136985 9631238564382 14446857846573 16052064273970 24078096410955 28893715693146 48156192821910 72234289232865 144468578465730