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42004340400 = 24352113182147
BaseRepresentation
bin100111000111101001…
…110101111010110000
311000102100120120122010
4213013221311322300
51142011102343100
631144014442520
73014623000551
oct470751657260
9130370516563
1042004340400
11168a539a710
128183203440
133c653b93b9
142066876328
15115c955750
hex9c7a75eb0

42004340400 has 120 divisors (see below), whose sum is σ = 146786122944. Its totient is φ = 10182867200.

The previous prime is 42004340377. The next prime is 42004340419. The reversal of 42004340400 is 404340024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×420043404002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577874 + ... + 1604273.

Almost surely, 242004340400 is an apocalyptic number.

42004340400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004340400 is an abundant number, since it is smaller than the sum of its proper divisors (104781782544).

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

42004340400 is a wasteful number, since it uses less digits than its factorization.

42004340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182179 (or 3182168 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42004340400 its reverse (404340024), we get a palindrome (42408680424).

The spelling of 42004340400 in words is "forty-two billion, four million, three hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 3182147 6364294 9546441 12728588 15910735 19092882 25457176 31821470 35003617 38185764 47732205 50914352 63642940 70007234 76371528 79553675 95464410 105010851 127285880 140014468 152743056 159107350 175018085 190928820 210021702 238661025 254571760 280028936 318214700 350036170 381857640 420043404 477322050 525054255 560057872 636429400 700072340 763715280 840086808 875090425 954644100 1050108510 1272858800 1400144680 1680173616 1750180850 1909288200 2100217020 2625271275 2800289360 3500361700 3818576400 4200434040 5250542550 7000723400 8400868080 10501085100 14001446800 21002170200 42004340400