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144215808 = 2831143397
BaseRepresentation
bin10001001100010…
…00111100000000
3101001100220220020
420212020330000
5243404401213
622151013440
73400546152
oct1046107400
9331326806
10144215808
1174451520
124036a280
1323b551c9
1415220ad2
15c9da923
hex8988f00

144215808 has 144 divisors (see below), whose sum is σ = 429534336. Its totient is φ = 42577920.

The previous prime is 144215803. The next prime is 144215831. The reversal of 144215808 is 808512441.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144215803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363066 + ... + 363462.

Almost surely, 2144215808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144215808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214767168).

144215808 is an abundant number, since it is smaller than the sum of its proper divisors (285318528).

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

144215808 is a wasteful number, since it uses less digits than its factorization.

144215808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 144215808 is about 12008.9886335195. The cubic root of 144215808 is about 524.4099893310.

The spelling of 144215808 in words is "one hundred forty-four million, two hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 256 258 264 344 352 384 397 473 516 528 688 704 768 794 946 1032 1056 1191 1376 1408 1419 1588 1892 2064 2112 2382 2752 2816 2838 3176 3784 4128 4224 4367 4764 5504 5676 6352 7568 8256 8448 8734 9528 11008 11352 12704 13101 15136 16512 17071 17468 19056 22704 25408 26202 30272 33024 34142 34936 38112 45408 50816 51213 52404 60544 68284 69872 76224 90816 101632 102426 104808 121088 136568 139744 152448 181632 187781 204852 209616 273136 279488 304896 363264 375562 409704 419232 546272 558976 563343 751124 819408 838464 1092544 1117952 1126686 1502248 1638816 1676928 2185088 2253372 3004496 3277632 3353856 4370176 4506744 6008992 6555264 9013488 12017984 13110528 18026976 24035968 36053952 48071936 72107904 144215808