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144296680 = 2351117101191
BaseRepresentation
bin10001001100111…
…00101011101000
3101001112000211111
420212130223220
5243414443210
622152440104
73401334013
oct1046345350
9331460744
10144296680
11744a7260
12403a9034
1323b82c68
141524237a
15ca0488a
hex899cae8

144296680 has 128 divisors (see below), whose sum is σ = 380712960. Its totient is φ = 48640000.

The previous prime is 144296611. The next prime is 144296699. The reversal of 144296680 is 86692441.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 755385 + ... + 755575.

It is an arithmetic number, because the mean of its divisors is an integer number (2974320).

Almost surely, 2144296680 is an apocalyptic number.

144296680 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 144296680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190356480).

144296680 is an abundant number, since it is smaller than the sum of its proper divisors (236416280).

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

144296680 is a wasteful number, since it uses less digits than its factorization.

144296680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 144296680 is about 12012.3553061005. The cubic root of 144296680 is about 524.5079955997.

The spelling of 144296680 in words is "one hundred forty-four million, two hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 101 110 136 170 187 191 202 220 340 374 382 404 440 505 680 748 764 808 935 955 1010 1111 1496 1528 1717 1870 1910 2020 2101 2222 3247 3434 3740 3820 4040 4202 4444 5555 6494 6868 7480 7640 8404 8585 8888 10505 11110 12988 13736 16235 16808 17170 18887 19291 21010 22220 25976 32470 34340 35717 37774 38582 42020 44440 64940 68680 71434 75548 77164 84040 94435 96455 129880 142868 151096 154328 178585 188870 192910 212201 285736 327947 357170 377740 385820 424402 655894 714340 755480 771640 848804 1061005 1311788 1428680 1639735 1697608 2122010 2623576 3279470 3607417 4244020 6558940 7214834 8488040 13117880 14429668 18037085 28859336 36074170 72148340 144296680