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144565030464 = 2634716020061
BaseRepresentation
bin1000011010100010111…
…1110100111001000000
3111211010222121110021120
42012220233310321000
54332032121433324
6150225014152240
713305312325011
oct2065057647100
9454128543246
10144565030464
1156345211098
1224026652680
131082b58735a
146dd5a25008
153b618a8179
hex21a8bf4e40

144565030464 has 56 divisors (see below), whose sum is σ = 390633191808. Its totient is φ = 47163056640.

The previous prime is 144565030451. The next prime is 144565030469. The reversal of 144565030464 is 464030565441.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (144565030469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8001007 + ... + 8019054.

Almost surely, 2144565030464 is an apocalyptic number.

It is an amenable number.

144565030464 is an abundant number, since it is smaller than the sum of its proper divisors (246068161344).

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

144565030464 is a wasteful number, since it uses less digits than its factorization.

144565030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16020123 (or 16020113 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 144565030464 in words is "one hundred forty-four billion, five hundred sixty-five million, thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 16020061 32040122 48060183 64080244 96120366 128160488 192240732 256320976 384481464 512641952 752942867 768962928 1025283904 1505885734 1537925856 2258828601 3011771468 3075851712 4517657202 6023542936 9035314404 12047085872 18070628808 24094171744 36141257616 48188343488 72282515232 144565030464