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4650042144 = 2531131114159
BaseRepresentation
bin1000101010010101…
…00000001100100000
3110000001212121122010
410111022200030200
534010402322034
62045230312520
7223142464116
oct42512401440
913001777563
104650042144
111a76911540
12a99358740
135914bb937
14321805ab6
151c337a3e9
hex1152a0320

4650042144 has 96 divisors (see below), whose sum is σ = 13359790080. Its totient is φ = 1404473600.

The previous prime is 4650042037. The next prime is 4650042151. The reversal of 4650042144 is 4412400564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46500421442 = 43245783881952233472, which contains 22 as substring.

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, 321337 + ... + 335495.

It is an arithmetic number, because the mean of its divisors is an integer number (139164480).

Almost surely, 24650042144 is an apocalyptic number.

4650042144 is a gapful number since it is divisible by the number (44) 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 4650042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679895040).

4650042144 is an abundant number, since it is smaller than the sum of its proper divisors (8709747936).

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

4650042144 is a wasteful number, since it uses less digits than its factorization.

4650042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14494 (or 14486 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4650042144 is about 68191.2174990299. The cubic root of 4650042144 is about 1669.1125771483.

The spelling of 4650042144 in words is "four billion, six hundred fifty million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 311 352 528 622 933 1056 1244 1866 2488 3421 3732 4976 6842 7464 9952 10263 13684 14159 14928 20526 27368 28318 29856 41052 42477 54736 56636 82104 84954 109472 113272 155749 164208 169908 226544 311498 328416 339816 453088 467247 622996 679632 934494 1245992 1359264 1868988 2491984 3737976 4403449 4983968 7475952 8806898 13210347 14951904 17613796 26420694 35227592 48437939 52841388 70455184 96875878 105682776 140910368 145313817 193751756 211365552 290627634 387503512 422731104 581255268 775007024 1162510536 1550014048 2325021072 4650042144