Search a number
-
+
4043124314240 = 275115563103237
BaseRepresentation
bin111010110101011100111…
…111010001000010000000
3112022112000021200211211212
4322311130333101002000
51012220304311023430
612333215145425252
7565051250426564
oct72653477210200
915275007624755
104043124314240
1113197522a91a0
1255370219b228
1323435a23a03b
14dd98c8336a4
1570286ddeb95
hex3ad5cfd1080

4043124314240 has 128 divisors (see below), whose sum is σ = 10546282019520. Its totient is φ = 1469948497920.

The previous prime is 4043124314233. The next prime is 4043124314261. The reversal of 4043124314240 is 424134213404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4043124314197 and 4043124314206.

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, 39111902 + ... + 39215138.

Almost surely, 24043124314240 is an apocalyptic number.

4043124314240 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 4043124314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273141009760).

4043124314240 is an abundant number, since it is smaller than the sum of its proper divisors (6503157705280).

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

4043124314240 is a wasteful number, since it uses less digits than its factorization.

4043124314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108830 (or 108818 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4043124314240 its reverse (424134213404), we get a palindrome (4467258527644).

The spelling of 4043124314240 in words is "four trillion, forty-three billion, one hundred twenty-four million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 5563 7040 11126 22252 27815 44504 55630 61193 89008 103237 111260 122386 178016 206474 222520 244772 305965 356032 412948 445040 489544 516185 611930 712064 825896 890080 979088 1032370 1135607 1223860 1651792 1780160 1958176 2064740 2271214 2447720 3303584 3560320 3916352 4129480 4542428 4895440 5678035 6607168 7832704 8258960 9084856 9790880 11356070 13214336 16517920 18169712 19581760 22712140 33035840 36339424 39163520 45424280 66071680 72678848 90848560 145357696 181697120 363394240 574307431 726788480 1148614862 2297229724 2871537155 4594459448 5743074310 6317381741 9188918896 11486148620 12634763482 18377837792 22972297240 25269526964 31586908705 36755675584 45944594480 50539053928 63173817410 73511351168 91889188960 101078107856 126347634820 183778377920 202156215712 252695269640 367556755840 404312431424 505390539280 808624862848 1010781078560 2021562157120 4043124314240