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1021455242400 = 253521930122051
BaseRepresentation
bin11101101110100110111…
…10100001010010100000
310121122112222020200000110
432313103132201102200
5113213420020224100
62101130002451320
7133540420206105
oct16672336412240
93548488220013
101021455242400
1136421894508a
12145b6b363b40
13754272c4548
143761db00aac
151b88513a250
hexedd37a14a0

1021455242400 has 144 divisors (see below), whose sum is σ = 3325159863648. Its totient is φ = 272361600000.

The previous prime is 1021455242393. The next prime is 1021455242447. The reversal of 1021455242400 is 42425541201.

1021455242400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 46311375 + ... + 46333425.

It is an arithmetic number, because the mean of its divisors is an integer number (23091387942).

Almost surely, 21021455242400 is an apocalyptic number.

1021455242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021455242400 is an abundant number, since it is smaller than the sum of its proper divisors (2303704621248).

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

1021455242400 is a wasteful number, since it uses less digits than its factorization.

1021455242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41375 (or 41362 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 1021455242400 in words is "one trillion, twenty-one billion, four hundred fifty-five million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 19301 22051 38602 44102 57903 66153 77204 88204 96505 110255 115806 132306 154408 176408 193010 220510 231612 264612 289515 308816 330765 352816 386020 441020 463224 482525 529224 551275 579030 617632 661530 705632 772040 882040 926448 965050 1058448 1102550 1158060 1323060 1447575 1544080 1653825 1764080 1852896 1930100 2116896 2205100 2316120 2646120 2895150 3088160 3307650 3528160 3860200 4410200 4632240 5292240 5790300 6615300 7720400 8820400 9264480 10584480 11580600 13230600 15440800 17640800 23161200 26461200 46322400 52922400 425606351 851212702 1276819053 1702425404 2128031755 2553638106 3404850808 4256063510 5107276212 6384095265 6809701616 8512127020 10214552424 10640158775 12768190530 13619403232 17024254040 20429104848 21280317550 25536381060 31920476325 34048508080 40858209696 42560635100 51072762120 63840952650 68097016160 85121270200 102145524240 127681905300 170242540400 204291048480 255363810600 340485080800 510727621200 1021455242400