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4101220464 = 243112706133
BaseRepresentation
bin1111010001110011…
…1010100001110000
3101120211011120211020
43310130322201300
531344403023324
61514543215440
7203426540655
oct36434724160
911524146736
104101220464
111815039700
129655a7580
135048a1893
142ac981c2c
151900bb679
hexf473a870

4101220464 has 60 divisors (see below), whose sum is σ = 11645561928. Its totient is φ = 1242792320.

The previous prime is 4101220463. The next prime is 4101220477. The reversal of 4101220464 is 4640221014.

It is a happy number.

4101220464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101220463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347259 + ... + 358874.

Almost surely, 24101220464 is an apocalyptic number.

4101220464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4101220464 is an abundant number, since it is smaller than the sum of its proper divisors (7544341464).

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

4101220464 is a wasteful number, since it uses less digits than its factorization.

4101220464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706166 (or 706149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4101220464 is about 64040.7718879153. The cubic root of 4101220464 is about 1600.6794593352.

Adding to 4101220464 its reverse (4640221014), we get a palindrome (8741441478).

The spelling of 4101220464 in words is "four billion, one hundred one million, two hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 706133 1412266 2118399 2824532 4236798 5649064 7767463 8473596 11298128 15534926 16947192 23302389 31069852 33894384 46604778 62139704 85442093 93209556 124279408 170884186 186419112 256326279 341768372 372838224 512652558 683536744 1025305116 1367073488 2050610232 4101220464