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4242322241300 = 225211132312898517
BaseRepresentation
bin111101101110111110000…
…111000011011100010100
3120000120011201202000010002
4331232332013003130110
51024001233443210200
613004521304350432
7615332462034533
oct75567607033424
916016151660102
104242322241300
1113961823430a0
12586235175418
1324a08432b930
141094881aa31a
1575544c2cbd5
hex3dbbe1c3714

4242322241300 has 144 divisors (see below), whose sum is σ = 11285480932992. Its totient is φ = 1362083289600.

The previous prime is 4242322241249. The next prime is 4242322241303. The reversal of 4242322241300 is 31422232424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242322241303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6120359 + ... + 6778158.

It is an arithmetic number, because the mean of its divisors is an integer number (78371395368).

Almost surely, 24242322241300 is an apocalyptic number.

It is an amenable number.

4242322241300 is an abundant number, since it is smaller than the sum of its proper divisors (7043158691692).

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

4242322241300 is a wasteful number, since it uses less digits than its factorization.

4242322241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12898578 (or 12898571 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4242322241300 its reverse (31422232424), we get a palindrome (4273744473724).

The spelling of 4242322241300 in words is "four trillion, two hundred forty-two billion, three hundred twenty-two million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 23 25 26 44 46 50 52 55 65 92 100 110 115 130 143 220 230 253 260 275 286 299 325 460 506 550 572 575 598 650 715 1012 1100 1150 1196 1265 1300 1430 1495 2300 2530 2860 2990 3289 3575 5060 5980 6325 6578 7150 7475 12650 13156 14300 14950 16445 25300 29900 32890 65780 82225 164450 328900 12898517 25797034 51594068 64492585 128985170 141883687 167680721 257970340 283767374 296665891 322462925 335361442 567534748 593331782 644925850 670722884 709418435 838403605 1186663564 1289851700 1418836870 1483329455 1676807210 1844487931 2837673740 2966658910 3263324801 3353614420 3547092175 3688975862 3856656583 4192018025 5933317820 6526649602 7094184350 7377951724 7416647275 7713313166 8384036050 9222439655 13053299204 14188368700 14833294550 15426626332 16316624005 16768072100 18444879310 19283282915 29666589100 32633248010 36889758620 38566565830 42423222413 46112198275 65266496020 77133131660 81583120025 84846444826 92224396550 96416414575 163166240050 169692889652 184448793100 192832829150 212116112065 326332480100 385665658300 424232224130 848464448260 1060580560325 2121161120650 4242322241300