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144462045 = 35721321163
BaseRepresentation
bin10001001110001…
…01000011011101
3101001211102200010
420213011003131
5243440241140
622200153433
73402623100
oct1047050335
9331742603
10144462045
11745aa522
1240468879
1323c10300
1415286737
15ca38880
hex89c50dd

144462045 has 72 divisors (see below), whose sum is σ = 291400416. Its totient is φ = 60907392.

The previous prime is 144462037. The next prime is 144462053. The reversal of 144462045 is 540264441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144462037) and next prime (144462053).

It is not a de Polignac number, because 144462045 - 23 = 144462037 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123634 + ... + 124796.

It is an arithmetic number, because the mean of its divisors is an integer number (4047228).

Almost surely, 2144462045 is an apocalyptic number.

144462045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144462045 is an abundant number, since it is smaller than the sum of its proper divisors (146938371).

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

144462045 is a wasteful number, since it uses less digits than its factorization.

144462045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 144462045 is about 12019.2364566140. The cubic root of 144462045 is about 524.7082823808.

The spelling of 144462045 in words is "one hundred forty-four million, four hundred sixty-two thousand, forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 169 195 245 273 455 507 637 735 845 1163 1183 1365 1911 2535 3185 3489 3549 5815 5915 8141 8281 9555 15119 17445 17745 24423 24843 40705 41405 45357 56987 75595 105833 122115 124215 170961 196547 226785 284935 317499 529165 589641 740831 854805 982735 1375829 1587495 2222493 2948205 3704155 4127487 6879145 9630803 11112465 20637435 28892409 48154015 144462045