Search a number
-
+
24131303430312 = 233131671109417617
BaseRepresentation
bin1010111110010100000011…
…10001001101100010101000
310011102221010000201120110110
411133022001301031202220
511130331402134232222
6123153433500214320
75040300123540531
oct537120161154250
9104387100646413
1024131303430312
117764034759271
12285898483a3a0
131060759020420
145d5d65bdb688
152bca9d32130c
hex15f281c4d8a8

24131303430312 has 128 divisors (see below), whose sum is σ = 65417019897600. Its totient is φ = 7373882462208.

The previous prime is 24131303430301. The next prime is 24131303430317. The reversal of 24131303430312 is 21303430313142.

It is a self number, because there is not a number n which added to its sum of digits gives 24131303430312.

It is not an unprimeable number, because it can be changed into a prime (24131303430317) 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, 57574528 + ... + 57992144.

It is an arithmetic number, because the mean of its divisors is an integer number (511070467950).

Almost surely, 224131303430312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24131303430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32708509948800).

24131303430312 is an abundant number, since it is smaller than the sum of its proper divisors (41285716467288).

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

24131303430312 is a wasteful number, since it uses less digits than its factorization.

24131303430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418915 (or 418911 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 24131303430312 its reverse (21303430313142), we get a palindrome (45434733743454).

The spelling of 24131303430312 in words is "twenty-four trillion, one hundred thirty-one billion, three hundred three million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 312 334 501 668 1002 1109 1336 2004 2171 2218 3327 4008 4342 4436 6513 6654 8684 8872 13026 13308 14417 17368 26052 26616 28834 43251 52104 57668 86502 115336 173004 185203 346008 370406 417617 555609 740812 835234 1111218 1252851 1481624 1670468 2222436 2407639 2505702 3340936 4444872 4815278 5011404 5429021 7222917 9630556 10022808 10858042 14445834 16287063 19261112 21716084 28891668 32574126 43432168 57783336 65148252 69742039 130296504 139484078 209226117 278968156 418452234 463137253 557936312 836904468 906646507 926274506 1389411759 1673808936 1813293014 1852549012 2719939521 2778823518 3626586028 3705098024 5439879042 5557647036 6020784289 7253172056 10879758084 11115294072 12041568578 18062352867 21759516168 24083137156 36124705734 48166274312 72249411468 77343921251 144498822936 154687842502 232031763753 309375685004 464063527506 618751370008 928127055012 1005470976263 1856254110024 2010941952526 3016412928789 4021883905052 6032825857578 8043767810104 12065651715156 24131303430312