Search a number
-
+
4312232132440 = 2356112717417993
BaseRepresentation
bin111110110000000101000…
…100000111111101011000
3120021020121212112102212111
4332300011010013331120
51031122422411214230
613101002340122104
7623356063226251
oct76600504077530
916236555472774
104312232132440
11141289768a031
125978a5996334
13253845bb691b
1410c9dac47b28
157728748e92a
hex3ec05107f58

4312232132440 has 128 divisors (see below), whose sum is σ = 9946183403520. Its totient is φ = 1682079436800.

The previous prime is 4312232132413. The next prime is 4312232132477. The reversal of 4312232132440 is 442312322134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539497084 + ... + 539505076.

It is an arithmetic number, because the mean of its divisors is an integer number (77704557840).

Almost surely, 24312232132440 is an apocalyptic number.

4312232132440 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 4312232132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973091701760).

4312232132440 is an abundant number, since it is smaller than the sum of its proper divisors (5633951271080).

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

4312232132440 is a wasteful number, since it uses less digits than its factorization.

4312232132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4312232132440 its reverse (442312322134), we get a palindrome (4754544454574).

The spelling of 4312232132440 in words is "four trillion, three hundred twelve billion, two hundred thirty-two million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 127 244 254 305 488 508 610 635 1016 1220 1270 1741 2440 2540 3482 5080 6964 7747 7993 8705 13928 15494 15986 17410 30988 31972 34820 38735 39965 61976 63944 69640 77470 79930 106201 154940 159860 212402 221107 309880 319720 424804 442214 487573 531005 849608 884428 975146 1015111 1062010 1105535 1768856 1950292 2030222 2124020 2211070 2437865 3900584 4060444 4248040 4422140 4875730 5075555 8120888 8844280 9751460 10151110 13487527 13915813 19502920 20302220 26975054 27831626 40604440 53950108 55663252 61921771 67437635 69579065 107900216 111326504 123843542 134875270 139158130 247687084 269750540 278316260 309608855 495374168 539501080 556632520 619217710 848864593 1238435420 1697729186 1767308251 2476870840 3395458372 3534616502 4244322965 6790916744 7069233004 8488645930 8836541255 14138466008 16977291860 17673082510 33954583720 35346165020 70692330040 107805803311 215611606622 431223213244 539029016555 862446426488 1078058033110 2156116066220 4312232132440