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144435144024656 = 2469472333355691
BaseRepresentation
bin100000110101110011101101…
…011100111110001001010000
3200221101212100112012001010222
4200311303231130332021100
5122412411133332242111
61231104331131412212
742265044341341412
oct4065635534761120
9627355315161128
10144435144024656
1142026667427091
12142485b95b4068
136279238b57314
1427949ac0aa9b2
1511a71523be7db
hex835ced73e250

144435144024656 has 40 divisors (see below), whose sum is σ = 279900395165664. Its totient is φ = 72202785357440.

The previous prime is 144435144024653. The next prime is 144435144024683. The reversal of 144435144024656 is 656420441534441.

144435144024656 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144435144024598 and 144435144024607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144435144024653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2593481771 + ... + 2593537461.

Almost surely, 2144435144024656 is an apocalyptic number.

144435144024656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144435144024656 is a deficient number, since it is larger than the sum of its proper divisors (135465251141008).

144435144024656 is a wasteful number, since it uses less digits than its factorization.

144435144024656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85979 (or 85973 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 53.

The spelling of 144435144024656 in words is "one hundred forty-four trillion, four hundred thirty-five billion, one hundred forty-four million, twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 6947 13894 23333 27788 46666 55576 55691 93332 111152 111382 186664 222764 373328 445528 891056 162094351 324188702 386885377 648377404 773770754 1296754808 1299438103 1547541508 2593509616 2598876206 3095083016 5197752412 6190166032 10395504824 20791009648 9027196501541 18054393003082 36108786006164 72217572012328 144435144024656