Search a number
-
+
41033460864 = 2731117571433
BaseRepresentation
bin100110001101110010…
…001110110010000000
310220220200200210021210
4212031302032302000
51133014031221424
630503413250120
72651563443144
oct461562166200
9126820623253
1041033460864
1116447356530
127b52033940
133b3c206a76
141db3949224
1511025c7729
hex98dc8ec80

41033460864 has 128 divisors (see below), whose sum is σ = 125898338880. Its totient is φ = 11702927360.

The previous prime is 41033460857. The next prime is 41033460877. The reversal of 41033460864 is 46806433014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 213909 + ... + 357524.

Almost surely, 241033460864 is an apocalyptic number.

41033460864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41033460864 is an abundant number, since it is smaller than the sum of its proper divisors (84864878016).

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

41033460864 is a wasteful number, since it uses less digits than its factorization.

41033460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571478 (or 571466 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 41033460864 its reverse (46806433014), we get a palindrome (87839893878).

The spelling of 41033460864 in words is "forty-one billion, thirty-three million, four hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 8976 11968 17952 23936 35904 71808 571433 1142866 1714299 2285732 3428598 4571464 6285763 6857196 9142928 9714361 12571526 13714392 18285856 18857289 19428722 25143052 27428784 29143083 36571712 37714578 38857444 50286104 54857568 58286166 73143424 75429156 77714888 100572208 106857971 109715136 116572332 150858312 155429776 201144416 213715942 219430272 233144664 301716624 310859552 320573913 402288832 427431884 466289328 603433248 621719104 641147826 804577664 854863768 932578656 1206866496 1243438208 1282295652 1709727536 1865157312 2413732992 2564591304 3419455072 3730314624 5129182608 6838910144 10258365216 13677820288 20516730432 41033460864