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4230004310440 = 2354179131249229
BaseRepresentation
bin111101100011011111111…
…001111000000110101000
3112222101101021101021121121
4331203133321320012220
51023301022100413230
612555123120345024
7614415310250626
oct75433771700650
915871337337547
104230004310440
111390a31180347
12583977a75174
13248b7035b94c
14108a3a26c516
157507360a77a
hex3d8dfe781a8

4230004310440 has 128 divisors (see below), whose sum is σ = 9948464064000. Its totient is φ = 1617390028800.

The previous prime is 4230004310423. The next prime is 4230004310443. The reversal of 4230004310440 is 440134000324.

It is not an unprimeable number, because it can be changed into a prime (4230004310443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16847746 + ... + 17096974.

It is an arithmetic number, because the mean of its divisors is an integer number (77722375500).

Almost surely, 24230004310440 is an apocalyptic number.

4230004310440 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 4230004310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974232032000).

4230004310440 is an abundant number, since it is smaller than the sum of its proper divisors (5718459753560).

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

4230004310440 is a wasteful number, since it uses less digits than its factorization.

4230004310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249491 (or 249487 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4230004310440 its reverse (440134000324), we get a palindrome (4670138310764).

The spelling of 4230004310440 in words is "four trillion, two hundred thirty billion, four million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 131 158 164 205 262 316 328 395 410 524 632 655 790 820 1048 1310 1580 1640 2620 3160 3239 5240 5371 6478 10349 10742 12956 16195 20698 21484 25912 26855 32390 41396 42968 51745 53710 64780 82792 103490 107420 129560 206980 214840 249229 413960 424309 498458 848618 996916 1246145 1697236 1993832 2121545 2492290 3394472 4243090 4984580 8486180 9969160 10218389 16972360 19689091 20436778 32648999 39378182 40873556 51091945 65297998 78756364 81747112 98445455 102183890 130595996 157512728 163244995 196890910 204367780 261191992 326489990 393781820 408735560 652979980 787563640 807252731 1305959960 1338608959 1614505462 2579270921 2677217918 3229010924 4036263655 5158541842 5354435836 6458021848 6693044795 8072527310 10317083684 10708871672 12896354605 13386089590 16145054620 20634167368 25792709210 26772179180 32290109240 51585418420 53544358360 103170836840 105750107761 211500215522 423000431044 528750538805 846000862088 1057501077610 2115002155220 4230004310440