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4664014440 = 2335107449809
BaseRepresentation
bin1000101011111111…
…10011011001101000
3110001001011111000120
410111333303121220
534022441430230
62050450003240
7223402316511
oct42577633150
913031144016
104664014440
111a83795098
12aa1b76520
13594371577
14323601a08
151c46da310
hex115ff3668

4664014440 has 128 divisors (see below), whose sum is σ = 14171760000. Its totient is φ = 1227849728.

The previous prime is 4664014429. The next prime is 4664014471. The reversal of 4664014440 is 444104664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5764756 + ... + 5765564.

It is an arithmetic number, because the mean of its divisors is an integer number (110716875).

Almost surely, 24664014440 is an apocalyptic number.

4664014440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085880000).

4664014440 is an abundant number, since it is smaller than the sum of its proper divisors (9507745560).

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

4664014440 is a wasteful number, since it uses less digits than its factorization.

4664014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4664014440 is about 68293.5900359616. The cubic root of 4664014440 is about 1670.7826706501.

The spelling of 4664014440 in words is "four billion, six hundred sixty-four million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 449 535 642 809 856 898 1070 1284 1347 1605 1618 1796 2140 2245 2427 2568 2694 3210 3236 3592 4045 4280 4490 4854 5388 6420 6472 6735 8090 8980 9708 10776 12135 12840 13470 16180 17960 19416 24270 26940 32360 48043 48540 53880 86563 96086 97080 144129 173126 192172 240215 259689 288258 346252 363241 384344 432815 480430 519378 576516 692504 720645 726482 865630 960860 1038756 1089723 1153032 1298445 1441290 1452964 1731260 1816205 1921720 2077512 2179446 2596890 2882580 2905928 3462520 3632410 4358892 5193780 5448615 5765160 7264820 8717784 10387560 10897230 14529640 21794460 38866787 43588920 77733574 116600361 155467148 194333935 233200722 310934296 388667870 466401444 583001805 777335740 932802888 1166003610 1554671480 2332007220 4664014440