Search a number
-
+
312344342441120 = 25511712499554597
BaseRepresentation
bin100011100000100110101010…
…1100101000010110010100000
31111221220211100021002010020202
41013001031111211002302200
5311414422203131103440
63024145002055524332
7122535063660115103
oct10701152545026240
91457824307063222
10312344342441120
1190582545564980
122b0465143896a8
1310538c39534a32
14571b79273873a
152619bd6c8e615
hex11c1355942ca0

312344342441120 has 96 divisors (see below), whose sum is σ = 816334535270016. Its totient is φ = 111980045900800.

The previous prime is 312344342441063. The next prime is 312344342441129. The reversal of 312344342441120 is 21144243443213.

It is not an unprimeable number, because it can be changed into a prime (312344342441129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249652339 + ... + 1249902258.

It is an arithmetic number, because the mean of its divisors is an integer number (8503484742396).

Almost surely, 2312344342441120 is an apocalyptic number.

It is an amenable number.

312344342441120 is an abundant number, since it is smaller than the sum of its proper divisors (503990192828896).

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

312344342441120 is a wasteful number, since it uses less digits than its factorization.

312344342441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499554694 (or 2499554686 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 312344342441120 its reverse (21144243443213), we get a palindrome (333488585884333).

The spelling of 312344342441120 in words is "three hundred twelve trillion, three hundred forty-four billion, three hundred forty-two million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 142 160 176 220 284 352 355 440 568 710 781 880 1136 1420 1562 1760 2272 2840 3124 3905 5680 6248 7810 11360 12496 15620 24992 31240 62480 124960 2499554597 4999109194 9998218388 12497772985 19996436776 24995545970 27495100567 39992873552 49991091940 54990201134 79985747104 99982183880 109980402268 137475502835 177468376387 199964367760 219960804536 274951005670 354936752774 399928735520 439921609072 549902011340 709873505548 879843218144 887341881935 1099804022680 1419747011096 1774683763870 1952152140257 2199608045360 2839494022192 3549367527740 3904304280514 4399216090720 5678988044384 7098735055480 7808608561028 9760760701285 14197470110960 15617217122056 19521521402570 28394940221920 31234434244112 39043042805140 62468868488224 78086085610280 156172171220560 312344342441120