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144551000 = 23531117773
BaseRepresentation
bin10001001110110…
…10110001011000
3101001222221200202
420213122301120
5244001113000
622202121332
73403443326
oct1047326130
9331887622
10144551000
1174660340
12404b0248
1323c41949
14152aad16
15ca54dd5
hex89dac58

144551000 has 128 divisors (see below), whose sum is σ = 391210560. Its totient is φ = 49408000.

The previous prime is 144550957. The next prime is 144551059. The reversal of 144551000 is 155441.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 186614 + ... + 187386.

Almost surely, 2144551000 is an apocalyptic number.

144551000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144551000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195605280).

144551000 is an abundant number, since it is smaller than the sum of its proper divisors (246659560).

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

144551000 is a wasteful number, since it uses less digits than its factorization.

144551000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 144551000 is about 12022.9364133726. The cubic root of 144551000 is about 524.8159596791.

The spelling of 144551000 in words is "one hundred forty-four million, five hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 680 748 773 850 935 1000 1100 1375 1496 1546 1700 1870 2125 2200 2750 3092 3400 3740 3865 4250 4675 5500 6184 7480 7730 8500 8503 9350 11000 13141 15460 17000 17006 18700 19325 23375 26282 30920 34012 37400 38650 42515 46750 52564 65705 68024 77300 85030 93500 96625 105128 131410 144551 154600 170060 187000 193250 212575 262820 289102 328525 340120 386500 425150 525640 578204 657050 722755 773000 850300 1062875 1156408 1314100 1445510 1642625 1700600 2125750 2628200 2891020 3285250 3613775 4251500 5782040 6570500 7227550 8503000 13141000 14455100 18068875 28910200 36137750 72275500 144551000