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4144243433301 = 3210113950964439
BaseRepresentation
bin111100010011101000001…
…010000101111101010101
3112200012000110011022211200
4330103220022011331111
51020344402304331201
612451501131223113
7605261133651066
oct74235012057525
915605013138750
104144243433301
111358622417a84
1256b2228a7a99
13240a538628ba
1410482236c56d
1572c044da386
hex3c4e8285f55

4144243433301 has 48 divisors (see below), whose sum is σ = 6100947216000. Its totient is φ = 2710416931200.

The previous prime is 4144243433287. The next prime is 4144243433359. The reversal of 4144243433301 is 1033343424414.

4144243433301 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 2 + 4 + 343 + 3 + 301 = 666.

4144243433301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4144243433301 - 214 = 4144243416917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144243433501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64280440 + ... + 64344878.

It is an arithmetic number, because the mean of its divisors is an integer number (127103067000).

Almost surely, 24144243433301 is an apocalyptic number.

It is an amenable number.

4144243433301 is a deficient number, since it is larger than the sum of its proper divisors (1956703782699).

4144243433301 is a wasteful number, since it uses less digits than its factorization.

4144243433301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65194 (or 65191 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4144243433301 its reverse (1033343424414), we get a palindrome (5177586857715).

The spelling of 4144243433301 in words is "four trillion, one hundred forty-four billion, two hundred forty-three million, four hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 101 139 303 417 509 909 1251 1527 4581 14039 42117 51409 64439 70751 126351 154227 193317 212253 462681 579951 636759 6508339 7145851 8957021 19525017 21437553 26871063 32799451 58575051 64312659 80613189 98398353 295195059 904659121 2713977363 3312744551 4559123689 8141932089 9938233653 13677371067 29814700959 41032113201 460471492589 1381414477767 4144243433301