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144354052305 = 3254721452181
BaseRepresentation
bin1000011001110000101…
…1000000100011010001
3111210121021121122122200
42012130023000203101
54331114114133210
6150152040153413
713300141125231
oct2063413004321
9453537548580
10144354052305
1156247110081
1223b87a68869
13107c69581c8
146db59c5cc1
153b4d0d10c0
hex219c2c08d1

144354052305 has 36 divisors (see below), whose sum is σ = 255650832372. Its totient is φ = 75350715840.

The previous prime is 144354052279. The next prime is 144354052333. The reversal of 144354052305 is 503250453441.

144354052305 is a `hidden beast` number, since 14 + 4 + 3 + 5 + 405 + 230 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78572574864 + 65781477441 = 280308^2 + 256479^2 .

It is not a de Polignac number, because 144354052305 - 27 = 144354052177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144354052305.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 626686 + ... + 825495.

Almost surely, 2144354052305 is an apocalyptic number.

144354052305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144354052305 is a deficient number, since it is larger than the sum of its proper divisors (111296780067).

144354052305 is a wasteful number, since it uses less digits than its factorization.

144354052305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452286 (or 1452236 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 144354052305 in words is "one hundred forty-four billion, three hundred fifty-four million, fifty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 45 47 141 235 423 705 2115 2209 6627 11045 19881 33135 99405 1452181 4356543 7260905 13069629 21782715 65348145 68252507 204757521 341262535 614272563 1023787605 3071362815 3207867829 9623603487 16039339145 28870810461 48118017435 144354052305