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323311144403340 = 223254799138563519
BaseRepresentation
bin100100110000011001011110…
…1111010100000000110001100
31120101202020120112202202002100
41021200302331322200012030
5314334112210431401330
63103343031142155100
7125046313361534322
oct11140627572400614
91511666515682070
10323311144403340
1194020539347725
1230317a48122a90
1310b53157b61342
1459ba4b2c2bd12
15275a0e8bad060
hex1260cbdea018c

323311144403340 has 144 divisors (see below), whose sum is σ = 1002587350302720. Its totient is φ = 84296765266560.

The previous prime is 323311144403339. The next prime is 323311144403353. The reversal of 323311144403340 is 43304441113323.

323311144403340 is a `hidden beast` number, since 3 + 2 + 3 + 31 + 114 + 440 + 33 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 323311144403295 and 323311144403304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10897900 + ... + 27665619.

It is an arithmetic number, because the mean of its divisors is an integer number (6962412154880).

Almost surely, 2323311144403340 is an apocalyptic number.

323311144403340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323311144403340 is an abundant number, since it is smaller than the sum of its proper divisors (679276205899380).

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

323311144403340 is a wasteful number, since it uses less digits than its factorization.

323311144403340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38564572 (or 38564567 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 323311144403340 its reverse (43304441113323), we get a palindrome (366615585516663).

The spelling of 323311144403340 in words is "three hundred twenty-three trillion, three hundred eleven billion, one hundred forty-four million, four hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 991 1410 1692 1982 2115 2820 2973 3964 4230 4955 5946 8460 8919 9910 11892 14865 17838 19820 29730 35676 44595 46577 59460 89190 93154 139731 178380 186308 232885 279462 419193 465770 558924 698655 838386 931540 1397310 1676772 2095965 2794620 4191930 8383860 38563519 77127038 115690557 154254076 192817595 231381114 347071671 385635190 462762228 578452785 694143342 771270380 1156905570 1388286684 1735358355 1812485393 2313811140 3470716710 3624970786 5437456179 6941433420 7249941572 9062426965 10874912358 16312368537 18124853930 21749824716 27187280895 32624737074 36249707860 38216447329 54374561790 65249474148 76432894658 81561842685 108749123580 114649341987 152865789316 163123685370 191082236645 229298683974 326247370740 343948025961 382164473290 458597367948 573246709935 687896051922 764328946580 1146493419870 1375792103844 1719740129805 1796173024463 2292986839740 3439480259610 3592346048926 5388519073389 6878960519220 7184692097852 8980865122315 10777038146778 16165557220167 17961730244630 21554076293556 26942595366945 32331114440334 35923460489260 53885190733890 64662228880668 80827786100835 107770381467780 161655572201670 323311144403340