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6150230144 = 27437315307
BaseRepresentation
bin1011011101001010…
…10001000010000000
3120212121202001200122
411232211101002000
5100043424331034
62454140435412
7305260044062
oct55645210200
916777661618
106150230144
11267670aa33
121237848b68
13770248646
14424b57732
1525ee1062e
hex16e951080

6150230144 has 64 divisors (see below), whose sum is σ = 12709926240. Its totient is φ = 2962262016.

The previous prime is 6150230123. The next prime is 6150230147. The reversal of 6150230144 is 4410320516.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6150230147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394139 + ... + 409445.

Almost surely, 26150230144 is an apocalyptic number.

6150230144 is a gapful number since it is divisible by the number (64) 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 6150230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354963120).

6150230144 is an abundant number, since it is smaller than the sum of its proper divisors (6559696096).

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

6150230144 is a wasteful number, since it uses less digits than its factorization.

6150230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15437 (or 15425 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 6150230144 is about 78423.4030376137. The cubic root of 6150230144 is about 1832.1616531332.

The spelling of 6150230144 in words is "six billion, one hundred fifty million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 73 86 128 146 172 292 344 584 688 1168 1376 2336 2752 3139 4672 5504 6278 9344 12556 15307 25112 30614 50224 61228 100448 122456 200896 244912 401792 489824 658201 979648 1117411 1316402 1959296 2234822 2632804 4469644 5265608 8939288 10531216 17878576 21062432 35757152 42124864 48048673 71514304 84249728 96097346 143028608 192194692 384389384 768778768 1537557536 3075115072 6150230144