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144731623943728 = 24296143111864197
BaseRepresentation
bin100000111010000111110101…
…000010000110111000110000
3200222110012121201110102122101
4200322013311002012320300
5122432240331212144403
61231452442401150144
742325341364150333
oct4072076502067060
9628405551412571
10144731623943728
1142130378630498
1214295b6002b354
13629b1976083b3
1427a509590461a
1511aec05a0671d
hex83a1f5086e30

144731623943728 has 80 divisors (see below), whose sum is σ = 295526731685760. Its totient is φ = 68565561523200.

The previous prime is 144731623943719. The next prime is 144731623943743. The reversal of 144731623943728 is 827349326137441.

It is a super-2 number, since 2×1447316239437282 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144731623943728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6266926 + ... + 18131122.

It is an arithmetic number, because the mean of its divisors is an integer number (3694084146072).

Almost surely, 2144731623943728 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 144731623943728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147763365842880).

144731623943728 is an abundant number, since it is smaller than the sum of its proper divisors (150795107742032).

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

144731623943728 is a wasteful number, since it uses less digits than its factorization.

144731623943728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11864726 (or 11864720 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 64.

The spelling of 144731623943728 in words is "one hundred forty-four trillion, seven hundred thirty-one billion, six hundred twenty-three million, nine hundred forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 431 464 488 862 976 1724 1769 3448 3538 6896 7076 12499 14152 24998 26291 28304 49996 52582 99992 105164 199984 210328 420656 762439 1524878 3049756 6099512 11864197 12199024 23728394 47456788 94913576 189827152 344061713 688123426 723716017 1376246852 1447432034 2752493704 2894864068 5113468907 5504987408 5789728136 10226937814 11579456272 20453875628 20987764493 40907751256 41975528986 81815502512 83951057972 148290598303 167902115944 296581196606 311921603327 335804231888 593162393212 623843206654 1186324786424 1247686413308 2372649572848 2495372826616 4990745653232 9045726496483 18091452992966 36182905985932 72365811971864 144731623943728