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1042225104000 = 2735321713023
BaseRepresentation
bin11110010101010010111…
…01010000010010000000
310200122011110101221211210
433022221131100102000
5114033434111312000
62114442553010120
7135204211133343
oct17125135202200
93618143357753
101042225104000
1137200699a563
12149ba70b3940
137738732c092
143863034845a
151c19d778350
hexf2a9750480

1042225104000 has 128 divisors (see below), whose sum is σ = 3454976378880. Its totient is φ = 277926681600.

The previous prime is 1042225103971. The next prime is 1042225104061. The reversal of 1042225104000 is 4015222401.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10808512 + ... + 10904511.

It is an arithmetic number, because the mean of its divisors is an integer number (26992002960).

Almost surely, 21042225104000 is an apocalyptic number.

1042225104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042225104000 is an abundant number, since it is smaller than the sum of its proper divisors (2412751274880).

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

1042225104000 is an equidigital number, since it uses as much as digits as its factorization.

1042225104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21713055 (or 21713033 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The spelling of 1042225104000 in words is "one trillion, forty-two billion, two hundred twenty-five million, one hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 21713023 43426046 65139069 86852092 108565115 130278138 173704184 217130230 260556276 325695345 347408368 434260460 521112552 542825575 651390690 694816736 868520920 1042225104 1085651150 1302781380 1389633472 1628476725 1737041840 2084450208 2171302300 2605562760 2714127875 2779266944 3256953450 3474083680 4168900416 4342604600 5211125520 5428255750 6513906900 6948167360 8142383625 8337800832 8685209200 10422251040 10856511500 13027813800 13896334720 16284767250 17370418400 20844502080 21713023000 26055627600 32569534500 34740836800 41689004160 43426046000 52111255200 65139069000 69481673600 86852092000 104222510400 130278138000 173704184000 208445020800 260556276000 347408368000 521112552000 1042225104000