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2343321420440 = 2357111358524511
BaseRepresentation
bin100010000110011000110…
…101110100001010011000
322022000112002200001111112
4202012120311310022120
5301343110240423230
64552301302315452
7331204455266630
oct42063065641230
98260462601445
102343321420440
118238849404a0
1231a199728b88
1313cc885b7670
14815bb3536c0
1540e4da57d95
hex22198d74298

2343321420440 has 128 divisors (see below), whose sum is σ = 7079124971520. Its totient is φ = 674202355200.

The previous prime is 2343321420397. The next prime is 2343321420457. The reversal of 2343321420440 is 440241233432.

It is a junction number, because it is equal to n+sod(n) for n = 2343321420397 and 2343321420406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29222216 + ... + 29302295.

It is an arithmetic number, because the mean of its divisors is an integer number (55305663840).

Almost surely, 22343321420440 is an apocalyptic number.

2343321420440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2343321420440 is an abundant number, since it is smaller than the sum of its proper divisors (4735803551080).

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

2343321420440 is a wasteful number, since it uses less digits than its factorization.

2343321420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58524553 (or 58524549 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2343321420440 its reverse (440241233432), we get a palindrome (2783562653872).

The spelling of 2343321420440 in words is "two trillion, three hundred forty-three billion, three hundred twenty-one million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 58524511 117049022 234098044 292622555 409671577 468196088 585245110 643769621 760818643 819343154 1170490220 1287539242 1521637286 1638686308 2048357885 2340980440 2575078484 3043274572 3218848105 3277372616 3804093215 4096715770 4506387347 5150156968 5325730501 6086549144 6437696210 7608186430 8193431540 8369005073 9012774694 10651461002 12875392420 15216372860 16386863080 16738010146 18025549388 21302922004 22531936735 25750784840 26628652505 30432745720 33476020292 36051098776 41845025365 42605844008 45063873470 53257305010 58583035511 66952040584 83690050730 90127746940 106514610020 117166071022 167380101460 180255493880 213029220040 234332142044 292915177555 334760202920 468664284088 585830355110 1171660710220 2343321420440