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4148230032 = 2432311635701
BaseRepresentation
bin1111011101000000…
…1111011110010000
3101201002121220211100
43313100033132100
531443421330112
61523342544400
7204540242052
oct36720173620
911632556740
104148230032
111839627691
12979298100
13511550aab
142b4cdb8d2
151942a52dc
hexf740f790

4148230032 has 120 divisors (see below), whose sum is σ = 12059410688. Its totient is φ = 1329696000.

The previous prime is 4148230019. The next prime is 4148230033. The reversal of 4148230032 is 2300328414.

It is a junction number, because it is equal to n+sod(n) for n = 4148229978 and 4148230005.

It is not an unprimeable number, because it can be changed into a prime (4148230033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724782 + ... + 730482.

Almost surely, 24148230032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029705344).

4148230032 is an abundant number, since it is smaller than the sum of its proper divisors (7911180656).

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

4148230032 is a wasteful number, since it uses less digits than its factorization.

4148230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4148230032 is about 64406.7545526088. The cubic root of 4148230032 is about 1606.7720817948.

Adding to 4148230032 its reverse (2300328414), we get a palindrome (6448558446).

The spelling of 4148230032 in words is "four billion, one hundred forty-eight million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 163 186 248 279 326 372 489 496 558 652 744 978 1116 1304 1467 1488 1956 2232 2608 2934 3912 4464 5053 5701 5868 7824 10106 11402 11736 15159 17103 20212 22804 23472 30318 34206 40424 45477 45608 51309 60636 68412 80848 90954 91216 102618 121272 136824 176731 181908 205236 242544 273648 353462 363816 410472 530193 706924 727632 820944 929263 1060386 1413848 1590579 1858526 2120772 2787789 2827696 3181158 3717052 4241544 5575578 6362316 7434104 8363367 8483088 11151156 12724632 14868208 16726734 22302312 25449264 28807153 33453468 44604624 57614306 66906936 86421459 115228612 133813872 172842918 230457224 259264377 345685836 460914448 518528754 691371672 1037057508 1382743344 2074115016 4148230032