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400420045312200 = 23335274151860243
BaseRepresentation
bin101101100001011100000111…
…0100011111101000011001000
31221111202210010102121212001000
41123002320032203331003020
5404440440223044442300
63535342232423455000
7150225252001111644
oct13302701643750310
91844683112555030
10400420045312200
1110664a207716811
1238ab0106bb7460
13142575a9a6a474
1470c460db29c24
153145c9e743c00
hex16c2e0e8fd0c8

400420045312200 has 96 divisors (see below), whose sum is σ = 1379224600538400. Its totient is φ = 106778678748480.

The previous prime is 400420045312171. The next prime is 400420045312207. The reversal of 400420045312200 is 2213540024004.

400420045312200 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 2 + 0 + 0 + 453 + 1 + 2 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (400420045312207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37075924722 + ... + 37075935521.

It is an arithmetic number, because the mean of its divisors is an integer number (14366922922275).

Almost surely, 2400420045312200 is an apocalyptic number.

400420045312200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400420045312200 is an abundant number, since it is smaller than the sum of its proper divisors (978804555226200).

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

400420045312200 is a wasteful number, since it uses less digits than its factorization.

400420045312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74151860268 (or 74151860253 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 400420045312200 its reverse (2213540024004), we get a palindrome (402633585336204).

The spelling of 400420045312200 in words is "four hundred trillion, four hundred twenty billion, forty-five million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 74151860243 148303720486 222455580729 296607440972 370759301215 444911161458 593214881944 667366742187 741518602430 889822322916 1112277903645 1334733484374 1483037204860 1779644645832 1853796506075 2002100226561 2224555807290 2669466968748 2966074409720 3336833710935 3707593012150 4004200453122 4449111614580 5338933937496 5561389518225 6673667421870 7415186024300 8008400906244 8898223229160 10010501132805 11122779036450 13347334843740 14830372048600 16016801812488 16684168554675 20021002265610 22245558072900 26694669687480 33368337109350 40042004531220 44491116145800 50052505664025 66736674218700 80084009062440 100105011328050 133473348437400 200210022656100 400420045312200