Search a number
-
+
4328261460480 = 29352239725163
BaseRepresentation
bin111110111111000000011…
…111001010001000000000
3120022202222222112200011210
4332333000133022020000
51031403234413213410
613112213104210120
7624464232246126
oct76770037121000
916282888480153
104328261460480
111419672836481
1259aa1a009940
132551cba6b009
1410d6bba51916
15778c482a220
hex3efc07ca200

4328261460480 has 160 divisors (see below), whose sum is σ = 13838078574144. Its totient is φ = 1154105655296.

The previous prime is 4328261460443. The next prime is 4328261460499. The reversal of 4328261460480 is 840641628234.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 171996379 + ... + 172021541.

Almost surely, 24328261460480 is an apocalyptic number.

4328261460480 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 4328261460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919039287072).

4328261460480 is an abundant number, since it is smaller than the sum of its proper divisors (9509817113664).

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

4328261460480 is a wasteful number, since it uses less digits than its factorization.

4328261460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47586 (or 47570 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 4328261460480 in words is "four trillion, three hundred twenty-eight billion, two hundred sixty-one million, four hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 22397 25163 44794 50326 67191 75489 89588 100652 111985 125815 134382 150978 179176 201304 223970 251630 268764 301956 335955 358352 377445 402608 447940 503260 537528 603912 671910 716704 754890 805216 895880 1006520 1075056 1207824 1343820 1433408 1509780 1610432 1791760 2013040 2150112 2415648 2687640 2866816 3019560 3220864 3583520 4026080 4300224 4831296 5375280 5733632 6039120 6441728 7167040 8052160 8600448 9662592 10750560 11467264 12078240 12883456 14334080 16104320 17200896 19325184 21501120 24156480 28668160 32208640 34401792 38650368 43002240 48312960 57336320 64417280 86004480 96625920 172008960 193251840 563575711 1127151422 1690727133 2254302844 2817878555 3381454266 4508605688 5635757110 6762908532 8453635665 9017211376 11271514220 13525817064 16907271330 18034422752 22543028440 27051634128 33814542660 36068845504 45086056880 54103268256 67629085320 72137691008 90172113760 108206536512 135258170640 144275382016 180344227520 216413073024 270516341280 288550764032 360688455040 432826146048 541032682560 721376910080 865652292096 1082065365120 1442753820160 2164130730240 4328261460480