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12424530440 = 2357374492671
BaseRepresentation
bin10111001001000111…
…10100101000001000
31012001212221112122002
423210203310220020
5200421134433230
65412512450132
7616614523550
oct134443645010
935055845562
1012424530440
1152a6361683
1224a8b49948
1312300b467a
1485c16a160
154cab7c545
hex2e48f4a08

12424530440 has 128 divisors (see below), whose sum is σ = 32897664000. Its totient is φ = 4133928960.

The previous prime is 12424530439. The next prime is 12424530487. The reversal of 12424530440 is 4403542421.

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, 4650305 + ... + 4652975.

It is an arithmetic number, because the mean of its divisors is an integer number (257013000).

Almost surely, 212424530440 is an apocalyptic number.

12424530440 is a gapful number since it is divisible by the number (10) 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 12424530440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448832000).

12424530440 is an abundant number, since it is smaller than the sum of its proper divisors (20473133560).

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

12424530440 is a wasteful number, since it uses less digits than its factorization.

12424530440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The spelling of 12424530440 in words is "twelve billion, four hundred twenty-four million, five hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 449 518 740 898 1036 1295 1480 1796 2072 2245 2590 2671 3143 3592 4490 5180 5342 6286 8980 10360 10684 12572 13355 15715 16613 17960 18697 21368 25144 26710 31430 33226 37394 53420 62860 66452 74788 83065 93485 98827 106840 116291 125720 132904 149576 166130 186970 197654 232582 332260 373940 395308 465164 494135 581455 664520 691789 747880 790616 930328 988270 1162910 1199279 1383578 1976540 2325820 2398558 2767156 3458945 3953080 4651640 4797116 5534312 5996395 6917890 8394953 9594232 11992790 13835780 16789906 23985580 27671560 33579812 41974765 44373323 47971160 67159624 83949530 88746646 167899060 177493292 221866615 310613261 335798120 354986584 443733230 621226522 887466460 1242453044 1553066305 1774932920 2484906088 3106132610 6212265220 12424530440